8.50/3.71	YES
10.19/4.16	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
10.19/4.16	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
10.19/4.16	
10.19/4.16	
10.19/4.16	H-Termination with start terms of the given HASKELL could be proven:
10.19/4.16	
10.19/4.16	(0) HASKELL
10.19/4.16	(1) BR [EQUIVALENT, 0 ms]
10.19/4.16	(2) HASKELL
10.19/4.16	(3) COR [EQUIVALENT, 0 ms]
10.19/4.16	(4) HASKELL
10.19/4.16	(5) Narrow [SOUND, 0 ms]
10.19/4.16	(6) AND
10.19/4.16	    (7) QDP
10.19/4.16	        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.19/4.16	        (9) YES
10.19/4.16	    (10) QDP
10.19/4.16	        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.19/4.16	        (12) YES
10.19/4.16	    (13) QDP
10.19/4.16	        (14) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.19/4.16	        (15) YES
10.19/4.16	
10.19/4.16	
10.19/4.16	----------------------------------------
10.19/4.16	
10.19/4.16	(0)
10.19/4.16	Obligation:
10.19/4.16	mainModule Main 
10.19/4.16	module Main where {
10.19/4.16	import qualified Prelude;
10.19/4.16	}
10.19/4.16	
10.19/4.16	----------------------------------------
10.19/4.16	
10.19/4.16	(1) BR (EQUIVALENT)
10.19/4.16	Replaced joker patterns by fresh variables and removed binding patterns.
10.19/4.16	----------------------------------------
10.19/4.16	
10.19/4.16	(2)
10.19/4.16	Obligation:
10.19/4.16	mainModule Main 
10.19/4.16	module Main where {
10.19/4.16	import qualified Prelude;
10.19/4.16	}
10.19/4.16	
10.19/4.16	----------------------------------------
10.19/4.16	
10.19/4.16	(3) COR (EQUIVALENT)
10.19/4.16	Cond Reductions:
10.19/4.16	The following Function with conditions
10.19/4.16	"undefined |Falseundefined;
10.19/4.16	"
10.19/4.16	is transformed to
10.19/4.16	"undefined  = undefined1;
10.19/4.16	"
10.19/4.16	"undefined0 True = undefined;
10.19/4.16	"
10.19/4.16	"undefined1  = undefined0 False;
10.19/4.16	"
10.19/4.16	
10.19/4.16	----------------------------------------
10.19/4.16	
10.19/4.16	(4)
10.19/4.16	Obligation:
10.19/4.16	mainModule Main 
10.19/4.16	module Main where {
10.19/4.16	import qualified Prelude;
10.19/4.16	}
10.19/4.16	
10.19/4.16	----------------------------------------
10.19/4.16	
10.19/4.16	(5) Narrow (SOUND)
10.19/4.16	Haskell To QDPs
10.19/4.16	
10.19/4.16	digraph dp_graph {
10.19/4.16	node [outthreshold=100, inthreshold=100];1[label="(<=)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
10.19/4.16	3[label="(<=) vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
10.19/4.16	4[label="(<=) vx3 vx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
10.19/4.16	5[label="compare vx3 vx4 /= GT",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
10.19/4.16	6[label="not (compare vx3 vx4 == GT)",fontsize=16,color="burlywood",shape="box"];516[label="vx3/vx30 :% vx31",fontsize=10,color="white",style="solid",shape="box"];6 -> 516[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	516 -> 7[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	7[label="not (compare (vx30 :% vx31) vx4 == GT)",fontsize=16,color="burlywood",shape="box"];517[label="vx4/vx40 :% vx41",fontsize=10,color="white",style="solid",shape="box"];7 -> 517[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	517 -> 8[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	8[label="not (compare (vx30 :% vx31) (vx40 :% vx41) == GT)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3];
10.19/4.16	9[label="not (compare (vx30 * vx41) (vx40 * vx31) == GT)",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3];
10.19/4.16	10[label="not (primCmpInt (vx30 * vx41) (vx40 * vx31) == GT)",fontsize=16,color="black",shape="box"];10 -> 11[label="",style="solid", color="black", weight=3];
10.19/4.16	11[label="not (primCmpInt (primMulInt vx30 vx41) (vx40 * vx31) == GT)",fontsize=16,color="burlywood",shape="box"];518[label="vx30/Pos vx300",fontsize=10,color="white",style="solid",shape="box"];11 -> 518[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	518 -> 12[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	519[label="vx30/Neg vx300",fontsize=10,color="white",style="solid",shape="box"];11 -> 519[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	519 -> 13[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	12[label="not (primCmpInt (primMulInt (Pos vx300) vx41) (vx40 * vx31) == GT)",fontsize=16,color="burlywood",shape="box"];520[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];12 -> 520[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	520 -> 14[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	521[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];12 -> 521[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	521 -> 15[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	13[label="not (primCmpInt (primMulInt (Neg vx300) vx41) (vx40 * vx31) == GT)",fontsize=16,color="burlywood",shape="box"];522[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];13 -> 522[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	522 -> 16[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	523[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];13 -> 523[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	523 -> 17[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	14[label="not (primCmpInt (primMulInt (Pos vx300) (Pos vx410)) (vx40 * vx31) == GT)",fontsize=16,color="black",shape="box"];14 -> 18[label="",style="solid", color="black", weight=3];
10.19/4.16	15[label="not (primCmpInt (primMulInt (Pos vx300) (Neg vx410)) (vx40 * vx31) == GT)",fontsize=16,color="black",shape="box"];15 -> 19[label="",style="solid", color="black", weight=3];
10.19/4.16	16[label="not (primCmpInt (primMulInt (Neg vx300) (Pos vx410)) (vx40 * vx31) == GT)",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3];
10.19/4.16	17[label="not (primCmpInt (primMulInt (Neg vx300) (Neg vx410)) (vx40 * vx31) == GT)",fontsize=16,color="black",shape="box"];17 -> 21[label="",style="solid", color="black", weight=3];
10.19/4.16	18 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.16	18[label="not (primCmpInt (Pos (primMulNat vx300 vx410)) (vx40 * vx31) == GT)",fontsize=16,color="magenta"];18 -> 271[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	19 -> 346[label="",style="dashed", color="red", weight=0];
10.19/4.16	19[label="not (primCmpInt (Neg (primMulNat vx300 vx410)) (vx40 * vx31) == GT)",fontsize=16,color="magenta"];19 -> 347[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	20 -> 346[label="",style="dashed", color="red", weight=0];
10.19/4.16	20[label="not (primCmpInt (Neg (primMulNat vx300 vx410)) (vx40 * vx31) == GT)",fontsize=16,color="magenta"];20 -> 348[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	21 -> 270[label="",style="dashed", color="red", weight=0];
10.19/4.16	21[label="not (primCmpInt (Pos (primMulNat vx300 vx410)) (vx40 * vx31) == GT)",fontsize=16,color="magenta"];21 -> 272[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	271[label="primMulNat vx300 vx410",fontsize=16,color="burlywood",shape="triangle"];524[label="vx300/Succ vx3000",fontsize=10,color="white",style="solid",shape="box"];271 -> 524[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	524 -> 283[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	525[label="vx300/Zero",fontsize=10,color="white",style="solid",shape="box"];271 -> 525[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	525 -> 284[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	270[label="not (primCmpInt (Pos vx10) (vx40 * vx31) == GT)",fontsize=16,color="burlywood",shape="triangle"];526[label="vx10/Succ vx100",fontsize=10,color="white",style="solid",shape="box"];270 -> 526[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	526 -> 285[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	527[label="vx10/Zero",fontsize=10,color="white",style="solid",shape="box"];270 -> 527[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	527 -> 286[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	347 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	347[label="primMulNat vx300 vx410",fontsize=16,color="magenta"];347 -> 359[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	346[label="not (primCmpInt (Neg vx15) (vx40 * vx31) == GT)",fontsize=16,color="burlywood",shape="triangle"];528[label="vx15/Succ vx150",fontsize=10,color="white",style="solid",shape="box"];346 -> 528[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	528 -> 360[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	529[label="vx15/Zero",fontsize=10,color="white",style="solid",shape="box"];346 -> 529[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	529 -> 361[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	348 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	348[label="primMulNat vx300 vx410",fontsize=16,color="magenta"];348 -> 362[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	272 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	272[label="primMulNat vx300 vx410",fontsize=16,color="magenta"];272 -> 287[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	272 -> 288[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	283[label="primMulNat (Succ vx3000) vx410",fontsize=16,color="burlywood",shape="box"];530[label="vx410/Succ vx4100",fontsize=10,color="white",style="solid",shape="box"];283 -> 530[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	530 -> 303[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	531[label="vx410/Zero",fontsize=10,color="white",style="solid",shape="box"];283 -> 531[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	531 -> 304[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	284[label="primMulNat Zero vx410",fontsize=16,color="burlywood",shape="box"];532[label="vx410/Succ vx4100",fontsize=10,color="white",style="solid",shape="box"];284 -> 532[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	532 -> 305[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	533[label="vx410/Zero",fontsize=10,color="white",style="solid",shape="box"];284 -> 533[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	533 -> 306[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	285[label="not (primCmpInt (Pos (Succ vx100)) (vx40 * vx31) == GT)",fontsize=16,color="black",shape="box"];285 -> 307[label="",style="solid", color="black", weight=3];
10.19/4.16	286[label="not (primCmpInt (Pos Zero) (vx40 * vx31) == GT)",fontsize=16,color="black",shape="box"];286 -> 308[label="",style="solid", color="black", weight=3];
10.19/4.16	359[label="vx410",fontsize=16,color="green",shape="box"];360[label="not (primCmpInt (Neg (Succ vx150)) (vx40 * vx31) == GT)",fontsize=16,color="black",shape="box"];360 -> 373[label="",style="solid", color="black", weight=3];
10.19/4.16	361[label="not (primCmpInt (Neg Zero) (vx40 * vx31) == GT)",fontsize=16,color="black",shape="box"];361 -> 374[label="",style="solid", color="black", weight=3];
10.19/4.16	362[label="vx300",fontsize=16,color="green",shape="box"];287[label="vx300",fontsize=16,color="green",shape="box"];288[label="vx410",fontsize=16,color="green",shape="box"];303[label="primMulNat (Succ vx3000) (Succ vx4100)",fontsize=16,color="black",shape="box"];303 -> 319[label="",style="solid", color="black", weight=3];
10.19/4.16	304[label="primMulNat (Succ vx3000) Zero",fontsize=16,color="black",shape="box"];304 -> 320[label="",style="solid", color="black", weight=3];
10.19/4.16	305[label="primMulNat Zero (Succ vx4100)",fontsize=16,color="black",shape="box"];305 -> 321[label="",style="solid", color="black", weight=3];
10.19/4.16	306[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];306 -> 322[label="",style="solid", color="black", weight=3];
10.19/4.16	307[label="not (primCmpInt (Pos (Succ vx100)) (primMulInt vx40 vx31) == GT)",fontsize=16,color="burlywood",shape="box"];534[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];307 -> 534[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	534 -> 323[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	535[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];307 -> 535[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	535 -> 324[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	308[label="not (primCmpInt (Pos Zero) (primMulInt vx40 vx31) == GT)",fontsize=16,color="burlywood",shape="box"];536[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];308 -> 536[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	536 -> 325[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	537[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];308 -> 537[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	537 -> 326[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	373[label="not (primCmpInt (Neg (Succ vx150)) (primMulInt vx40 vx31) == GT)",fontsize=16,color="burlywood",shape="box"];538[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];373 -> 538[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	538 -> 378[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	539[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];373 -> 539[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	539 -> 379[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	374[label="not (primCmpInt (Neg Zero) (primMulInt vx40 vx31) == GT)",fontsize=16,color="burlywood",shape="box"];540[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];374 -> 540[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	540 -> 380[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	541[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];374 -> 541[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	541 -> 381[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	319 -> 332[label="",style="dashed", color="red", weight=0];
10.19/4.16	319[label="primPlusNat (primMulNat vx3000 (Succ vx4100)) (Succ vx4100)",fontsize=16,color="magenta"];319 -> 333[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	320[label="Zero",fontsize=16,color="green",shape="box"];321[label="Zero",fontsize=16,color="green",shape="box"];322[label="Zero",fontsize=16,color="green",shape="box"];323[label="not (primCmpInt (Pos (Succ vx100)) (primMulInt (Pos vx400) vx31) == GT)",fontsize=16,color="burlywood",shape="box"];542[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];323 -> 542[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	542 -> 334[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	543[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];323 -> 543[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	543 -> 335[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	324[label="not (primCmpInt (Pos (Succ vx100)) (primMulInt (Neg vx400) vx31) == GT)",fontsize=16,color="burlywood",shape="box"];544[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];324 -> 544[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	544 -> 336[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	545[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];324 -> 545[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	545 -> 337[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	325[label="not (primCmpInt (Pos Zero) (primMulInt (Pos vx400) vx31) == GT)",fontsize=16,color="burlywood",shape="box"];546[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];325 -> 546[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	546 -> 338[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	547[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];325 -> 547[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	547 -> 339[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	326[label="not (primCmpInt (Pos Zero) (primMulInt (Neg vx400) vx31) == GT)",fontsize=16,color="burlywood",shape="box"];548[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];326 -> 548[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	548 -> 340[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	549[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];326 -> 549[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	549 -> 341[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	378[label="not (primCmpInt (Neg (Succ vx150)) (primMulInt (Pos vx400) vx31) == GT)",fontsize=16,color="burlywood",shape="box"];550[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];378 -> 550[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	550 -> 385[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	551[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];378 -> 551[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	551 -> 386[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	379[label="not (primCmpInt (Neg (Succ vx150)) (primMulInt (Neg vx400) vx31) == GT)",fontsize=16,color="burlywood",shape="box"];552[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];379 -> 552[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	552 -> 387[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	553[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];379 -> 553[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	553 -> 388[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	380[label="not (primCmpInt (Neg Zero) (primMulInt (Pos vx400) vx31) == GT)",fontsize=16,color="burlywood",shape="box"];554[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];380 -> 554[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	554 -> 389[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	555[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];380 -> 555[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	555 -> 390[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	381[label="not (primCmpInt (Neg Zero) (primMulInt (Neg vx400) vx31) == GT)",fontsize=16,color="burlywood",shape="box"];556[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];381 -> 556[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	556 -> 391[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	557[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];381 -> 557[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	557 -> 392[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	333 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	333[label="primMulNat vx3000 (Succ vx4100)",fontsize=16,color="magenta"];333 -> 342[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	333 -> 343[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	332[label="primPlusNat vx14 (Succ vx4100)",fontsize=16,color="burlywood",shape="triangle"];558[label="vx14/Succ vx140",fontsize=10,color="white",style="solid",shape="box"];332 -> 558[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	558 -> 344[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	559[label="vx14/Zero",fontsize=10,color="white",style="solid",shape="box"];332 -> 559[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	559 -> 345[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	334[label="not (primCmpInt (Pos (Succ vx100)) (primMulInt (Pos vx400) (Pos vx310)) == GT)",fontsize=16,color="black",shape="box"];334 -> 363[label="",style="solid", color="black", weight=3];
10.19/4.16	335[label="not (primCmpInt (Pos (Succ vx100)) (primMulInt (Pos vx400) (Neg vx310)) == GT)",fontsize=16,color="black",shape="box"];335 -> 364[label="",style="solid", color="black", weight=3];
10.19/4.16	336[label="not (primCmpInt (Pos (Succ vx100)) (primMulInt (Neg vx400) (Pos vx310)) == GT)",fontsize=16,color="black",shape="box"];336 -> 365[label="",style="solid", color="black", weight=3];
10.19/4.16	337[label="not (primCmpInt (Pos (Succ vx100)) (primMulInt (Neg vx400) (Neg vx310)) == GT)",fontsize=16,color="black",shape="box"];337 -> 366[label="",style="solid", color="black", weight=3];
10.19/4.16	338[label="not (primCmpInt (Pos Zero) (primMulInt (Pos vx400) (Pos vx310)) == GT)",fontsize=16,color="black",shape="box"];338 -> 367[label="",style="solid", color="black", weight=3];
10.19/4.16	339[label="not (primCmpInt (Pos Zero) (primMulInt (Pos vx400) (Neg vx310)) == GT)",fontsize=16,color="black",shape="box"];339 -> 368[label="",style="solid", color="black", weight=3];
10.19/4.16	340[label="not (primCmpInt (Pos Zero) (primMulInt (Neg vx400) (Pos vx310)) == GT)",fontsize=16,color="black",shape="box"];340 -> 369[label="",style="solid", color="black", weight=3];
10.19/4.16	341[label="not (primCmpInt (Pos Zero) (primMulInt (Neg vx400) (Neg vx310)) == GT)",fontsize=16,color="black",shape="box"];341 -> 370[label="",style="solid", color="black", weight=3];
10.19/4.16	385[label="not (primCmpInt (Neg (Succ vx150)) (primMulInt (Pos vx400) (Pos vx310)) == GT)",fontsize=16,color="black",shape="box"];385 -> 396[label="",style="solid", color="black", weight=3];
10.19/4.16	386[label="not (primCmpInt (Neg (Succ vx150)) (primMulInt (Pos vx400) (Neg vx310)) == GT)",fontsize=16,color="black",shape="box"];386 -> 397[label="",style="solid", color="black", weight=3];
10.19/4.16	387[label="not (primCmpInt (Neg (Succ vx150)) (primMulInt (Neg vx400) (Pos vx310)) == GT)",fontsize=16,color="black",shape="box"];387 -> 398[label="",style="solid", color="black", weight=3];
10.19/4.16	388[label="not (primCmpInt (Neg (Succ vx150)) (primMulInt (Neg vx400) (Neg vx310)) == GT)",fontsize=16,color="black",shape="box"];388 -> 399[label="",style="solid", color="black", weight=3];
10.19/4.16	389[label="not (primCmpInt (Neg Zero) (primMulInt (Pos vx400) (Pos vx310)) == GT)",fontsize=16,color="black",shape="box"];389 -> 400[label="",style="solid", color="black", weight=3];
10.19/4.16	390[label="not (primCmpInt (Neg Zero) (primMulInt (Pos vx400) (Neg vx310)) == GT)",fontsize=16,color="black",shape="box"];390 -> 401[label="",style="solid", color="black", weight=3];
10.19/4.16	391[label="not (primCmpInt (Neg Zero) (primMulInt (Neg vx400) (Pos vx310)) == GT)",fontsize=16,color="black",shape="box"];391 -> 402[label="",style="solid", color="black", weight=3];
10.19/4.16	392[label="not (primCmpInt (Neg Zero) (primMulInt (Neg vx400) (Neg vx310)) == GT)",fontsize=16,color="black",shape="box"];392 -> 403[label="",style="solid", color="black", weight=3];
10.19/4.16	342[label="vx3000",fontsize=16,color="green",shape="box"];343[label="Succ vx4100",fontsize=16,color="green",shape="box"];344[label="primPlusNat (Succ vx140) (Succ vx4100)",fontsize=16,color="black",shape="box"];344 -> 371[label="",style="solid", color="black", weight=3];
10.19/4.16	345[label="primPlusNat Zero (Succ vx4100)",fontsize=16,color="black",shape="box"];345 -> 372[label="",style="solid", color="black", weight=3];
10.19/4.16	363 -> 375[label="",style="dashed", color="red", weight=0];
10.19/4.16	363[label="not (primCmpInt (Pos (Succ vx100)) (Pos (primMulNat vx400 vx310)) == GT)",fontsize=16,color="magenta"];363 -> 376[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	364 -> 382[label="",style="dashed", color="red", weight=0];
10.19/4.16	364[label="not (primCmpInt (Pos (Succ vx100)) (Neg (primMulNat vx400 vx310)) == GT)",fontsize=16,color="magenta"];364 -> 383[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	365 -> 382[label="",style="dashed", color="red", weight=0];
10.19/4.16	365[label="not (primCmpInt (Pos (Succ vx100)) (Neg (primMulNat vx400 vx310)) == GT)",fontsize=16,color="magenta"];365 -> 384[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	366 -> 375[label="",style="dashed", color="red", weight=0];
10.19/4.16	366[label="not (primCmpInt (Pos (Succ vx100)) (Pos (primMulNat vx400 vx310)) == GT)",fontsize=16,color="magenta"];366 -> 377[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	367 -> 393[label="",style="dashed", color="red", weight=0];
10.19/4.16	367[label="not (primCmpInt (Pos Zero) (Pos (primMulNat vx400 vx310)) == GT)",fontsize=16,color="magenta"];367 -> 394[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	368 -> 404[label="",style="dashed", color="red", weight=0];
10.19/4.16	368[label="not (primCmpInt (Pos Zero) (Neg (primMulNat vx400 vx310)) == GT)",fontsize=16,color="magenta"];368 -> 405[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	369 -> 404[label="",style="dashed", color="red", weight=0];
10.19/4.16	369[label="not (primCmpInt (Pos Zero) (Neg (primMulNat vx400 vx310)) == GT)",fontsize=16,color="magenta"];369 -> 406[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	370 -> 393[label="",style="dashed", color="red", weight=0];
10.19/4.16	370[label="not (primCmpInt (Pos Zero) (Pos (primMulNat vx400 vx310)) == GT)",fontsize=16,color="magenta"];370 -> 395[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	396 -> 407[label="",style="dashed", color="red", weight=0];
10.19/4.16	396[label="not (primCmpInt (Neg (Succ vx150)) (Pos (primMulNat vx400 vx310)) == GT)",fontsize=16,color="magenta"];396 -> 408[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	397 -> 410[label="",style="dashed", color="red", weight=0];
10.19/4.16	397[label="not (primCmpInt (Neg (Succ vx150)) (Neg (primMulNat vx400 vx310)) == GT)",fontsize=16,color="magenta"];397 -> 411[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	398 -> 410[label="",style="dashed", color="red", weight=0];
10.19/4.16	398[label="not (primCmpInt (Neg (Succ vx150)) (Neg (primMulNat vx400 vx310)) == GT)",fontsize=16,color="magenta"];398 -> 412[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	399 -> 407[label="",style="dashed", color="red", weight=0];
10.19/4.16	399[label="not (primCmpInt (Neg (Succ vx150)) (Pos (primMulNat vx400 vx310)) == GT)",fontsize=16,color="magenta"];399 -> 409[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	400 -> 413[label="",style="dashed", color="red", weight=0];
10.19/4.16	400[label="not (primCmpInt (Neg Zero) (Pos (primMulNat vx400 vx310)) == GT)",fontsize=16,color="magenta"];400 -> 414[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	401 -> 416[label="",style="dashed", color="red", weight=0];
10.19/4.16	401[label="not (primCmpInt (Neg Zero) (Neg (primMulNat vx400 vx310)) == GT)",fontsize=16,color="magenta"];401 -> 417[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	402 -> 416[label="",style="dashed", color="red", weight=0];
10.19/4.16	402[label="not (primCmpInt (Neg Zero) (Neg (primMulNat vx400 vx310)) == GT)",fontsize=16,color="magenta"];402 -> 418[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	403 -> 413[label="",style="dashed", color="red", weight=0];
10.19/4.16	403[label="not (primCmpInt (Neg Zero) (Pos (primMulNat vx400 vx310)) == GT)",fontsize=16,color="magenta"];403 -> 415[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	371[label="Succ (Succ (primPlusNat vx140 vx4100))",fontsize=16,color="green",shape="box"];371 -> 419[label="",style="dashed", color="green", weight=3];
10.19/4.16	372[label="Succ vx4100",fontsize=16,color="green",shape="box"];376 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	376[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];376 -> 420[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	376 -> 421[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	375[label="not (primCmpInt (Pos (Succ vx100)) (Pos vx16) == GT)",fontsize=16,color="black",shape="triangle"];375 -> 422[label="",style="solid", color="black", weight=3];
10.19/4.16	383 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	383[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];383 -> 423[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	383 -> 424[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	382[label="not (primCmpInt (Pos (Succ vx100)) (Neg vx17) == GT)",fontsize=16,color="black",shape="triangle"];382 -> 425[label="",style="solid", color="black", weight=3];
10.19/4.16	384 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	384[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];384 -> 426[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	384 -> 427[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	377 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	377[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];377 -> 428[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	377 -> 429[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	394 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	394[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];394 -> 430[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	394 -> 431[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	393[label="not (primCmpInt (Pos Zero) (Pos vx18) == GT)",fontsize=16,color="burlywood",shape="triangle"];560[label="vx18/Succ vx180",fontsize=10,color="white",style="solid",shape="box"];393 -> 560[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	560 -> 432[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	561[label="vx18/Zero",fontsize=10,color="white",style="solid",shape="box"];393 -> 561[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	561 -> 433[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	405 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	405[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];405 -> 434[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	405 -> 435[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	404[label="not (primCmpInt (Pos Zero) (Neg vx19) == GT)",fontsize=16,color="burlywood",shape="triangle"];562[label="vx19/Succ vx190",fontsize=10,color="white",style="solid",shape="box"];404 -> 562[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	562 -> 436[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	563[label="vx19/Zero",fontsize=10,color="white",style="solid",shape="box"];404 -> 563[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	563 -> 437[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	406 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	406[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];406 -> 438[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	406 -> 439[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	395 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	395[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];395 -> 440[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	395 -> 441[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	408 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	408[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];408 -> 442[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	408 -> 443[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	407[label="not (primCmpInt (Neg (Succ vx150)) (Pos vx20) == GT)",fontsize=16,color="black",shape="triangle"];407 -> 444[label="",style="solid", color="black", weight=3];
10.19/4.16	411 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	411[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];411 -> 445[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	411 -> 446[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	410[label="not (primCmpInt (Neg (Succ vx150)) (Neg vx21) == GT)",fontsize=16,color="black",shape="triangle"];410 -> 447[label="",style="solid", color="black", weight=3];
10.19/4.16	412 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	412[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];412 -> 448[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	412 -> 449[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	409 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	409[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];409 -> 450[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	409 -> 451[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	414 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	414[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];414 -> 452[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	414 -> 453[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	413[label="not (primCmpInt (Neg Zero) (Pos vx22) == GT)",fontsize=16,color="burlywood",shape="triangle"];564[label="vx22/Succ vx220",fontsize=10,color="white",style="solid",shape="box"];413 -> 564[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	564 -> 454[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	565[label="vx22/Zero",fontsize=10,color="white",style="solid",shape="box"];413 -> 565[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	565 -> 455[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	417 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	417[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];417 -> 456[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	417 -> 457[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	416[label="not (primCmpInt (Neg Zero) (Neg vx23) == GT)",fontsize=16,color="burlywood",shape="triangle"];566[label="vx23/Succ vx230",fontsize=10,color="white",style="solid",shape="box"];416 -> 566[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	566 -> 458[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	567[label="vx23/Zero",fontsize=10,color="white",style="solid",shape="box"];416 -> 567[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	567 -> 459[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	418 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	418[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];418 -> 460[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	418 -> 461[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	415 -> 271[label="",style="dashed", color="red", weight=0];
10.19/4.16	415[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];415 -> 462[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	415 -> 463[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	419[label="primPlusNat vx140 vx4100",fontsize=16,color="burlywood",shape="triangle"];568[label="vx140/Succ vx1400",fontsize=10,color="white",style="solid",shape="box"];419 -> 568[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	568 -> 464[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	569[label="vx140/Zero",fontsize=10,color="white",style="solid",shape="box"];419 -> 569[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	569 -> 465[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	420[label="vx400",fontsize=16,color="green",shape="box"];421[label="vx310",fontsize=16,color="green",shape="box"];422[label="not (primCmpNat (Succ vx100) vx16 == GT)",fontsize=16,color="burlywood",shape="triangle"];570[label="vx16/Succ vx160",fontsize=10,color="white",style="solid",shape="box"];422 -> 570[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	570 -> 466[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	571[label="vx16/Zero",fontsize=10,color="white",style="solid",shape="box"];422 -> 571[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	571 -> 467[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	423[label="vx400",fontsize=16,color="green",shape="box"];424[label="vx310",fontsize=16,color="green",shape="box"];425[label="not (GT == GT)",fontsize=16,color="black",shape="triangle"];425 -> 468[label="",style="solid", color="black", weight=3];
10.19/4.16	426[label="vx400",fontsize=16,color="green",shape="box"];427[label="vx310",fontsize=16,color="green",shape="box"];428[label="vx400",fontsize=16,color="green",shape="box"];429[label="vx310",fontsize=16,color="green",shape="box"];430[label="vx400",fontsize=16,color="green",shape="box"];431[label="vx310",fontsize=16,color="green",shape="box"];432[label="not (primCmpInt (Pos Zero) (Pos (Succ vx180)) == GT)",fontsize=16,color="black",shape="box"];432 -> 469[label="",style="solid", color="black", weight=3];
10.19/4.16	433[label="not (primCmpInt (Pos Zero) (Pos Zero) == GT)",fontsize=16,color="black",shape="box"];433 -> 470[label="",style="solid", color="black", weight=3];
10.19/4.16	434[label="vx400",fontsize=16,color="green",shape="box"];435[label="vx310",fontsize=16,color="green",shape="box"];436[label="not (primCmpInt (Pos Zero) (Neg (Succ vx190)) == GT)",fontsize=16,color="black",shape="box"];436 -> 471[label="",style="solid", color="black", weight=3];
10.19/4.16	437[label="not (primCmpInt (Pos Zero) (Neg Zero) == GT)",fontsize=16,color="black",shape="box"];437 -> 472[label="",style="solid", color="black", weight=3];
10.19/4.16	438[label="vx400",fontsize=16,color="green",shape="box"];439[label="vx310",fontsize=16,color="green",shape="box"];440[label="vx400",fontsize=16,color="green",shape="box"];441[label="vx310",fontsize=16,color="green",shape="box"];442[label="vx400",fontsize=16,color="green",shape="box"];443[label="vx310",fontsize=16,color="green",shape="box"];444[label="not (LT == GT)",fontsize=16,color="black",shape="triangle"];444 -> 473[label="",style="solid", color="black", weight=3];
10.19/4.16	445[label="vx400",fontsize=16,color="green",shape="box"];446[label="vx310",fontsize=16,color="green",shape="box"];447[label="not (primCmpNat vx21 (Succ vx150) == GT)",fontsize=16,color="burlywood",shape="triangle"];572[label="vx21/Succ vx210",fontsize=10,color="white",style="solid",shape="box"];447 -> 572[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	572 -> 474[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	573[label="vx21/Zero",fontsize=10,color="white",style="solid",shape="box"];447 -> 573[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	573 -> 475[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	448[label="vx400",fontsize=16,color="green",shape="box"];449[label="vx310",fontsize=16,color="green",shape="box"];450[label="vx400",fontsize=16,color="green",shape="box"];451[label="vx310",fontsize=16,color="green",shape="box"];452[label="vx400",fontsize=16,color="green",shape="box"];453[label="vx310",fontsize=16,color="green",shape="box"];454[label="not (primCmpInt (Neg Zero) (Pos (Succ vx220)) == GT)",fontsize=16,color="black",shape="box"];454 -> 476[label="",style="solid", color="black", weight=3];
10.19/4.16	455[label="not (primCmpInt (Neg Zero) (Pos Zero) == GT)",fontsize=16,color="black",shape="box"];455 -> 477[label="",style="solid", color="black", weight=3];
10.19/4.16	456[label="vx400",fontsize=16,color="green",shape="box"];457[label="vx310",fontsize=16,color="green",shape="box"];458[label="not (primCmpInt (Neg Zero) (Neg (Succ vx230)) == GT)",fontsize=16,color="black",shape="box"];458 -> 478[label="",style="solid", color="black", weight=3];
10.19/4.16	459[label="not (primCmpInt (Neg Zero) (Neg Zero) == GT)",fontsize=16,color="black",shape="box"];459 -> 479[label="",style="solid", color="black", weight=3];
10.19/4.16	460[label="vx400",fontsize=16,color="green",shape="box"];461[label="vx310",fontsize=16,color="green",shape="box"];462[label="vx400",fontsize=16,color="green",shape="box"];463[label="vx310",fontsize=16,color="green",shape="box"];464[label="primPlusNat (Succ vx1400) vx4100",fontsize=16,color="burlywood",shape="box"];574[label="vx4100/Succ vx41000",fontsize=10,color="white",style="solid",shape="box"];464 -> 574[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	574 -> 480[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	575[label="vx4100/Zero",fontsize=10,color="white",style="solid",shape="box"];464 -> 575[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	575 -> 481[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	465[label="primPlusNat Zero vx4100",fontsize=16,color="burlywood",shape="box"];576[label="vx4100/Succ vx41000",fontsize=10,color="white",style="solid",shape="box"];465 -> 576[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	576 -> 482[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	577[label="vx4100/Zero",fontsize=10,color="white",style="solid",shape="box"];465 -> 577[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	577 -> 483[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	466[label="not (primCmpNat (Succ vx100) (Succ vx160) == GT)",fontsize=16,color="black",shape="box"];466 -> 484[label="",style="solid", color="black", weight=3];
10.19/4.16	467[label="not (primCmpNat (Succ vx100) Zero == GT)",fontsize=16,color="black",shape="box"];467 -> 485[label="",style="solid", color="black", weight=3];
10.19/4.16	468[label="not True",fontsize=16,color="black",shape="box"];468 -> 486[label="",style="solid", color="black", weight=3];
10.19/4.16	469 -> 447[label="",style="dashed", color="red", weight=0];
10.19/4.16	469[label="not (primCmpNat Zero (Succ vx180) == GT)",fontsize=16,color="magenta"];469 -> 487[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	469 -> 488[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	470[label="not (EQ == GT)",fontsize=16,color="black",shape="triangle"];470 -> 489[label="",style="solid", color="black", weight=3];
10.19/4.16	471 -> 425[label="",style="dashed", color="red", weight=0];
10.19/4.16	471[label="not (GT == GT)",fontsize=16,color="magenta"];472 -> 470[label="",style="dashed", color="red", weight=0];
10.19/4.16	472[label="not (EQ == GT)",fontsize=16,color="magenta"];473[label="not False",fontsize=16,color="black",shape="triangle"];473 -> 490[label="",style="solid", color="black", weight=3];
10.19/4.16	474[label="not (primCmpNat (Succ vx210) (Succ vx150) == GT)",fontsize=16,color="black",shape="box"];474 -> 491[label="",style="solid", color="black", weight=3];
10.19/4.16	475[label="not (primCmpNat Zero (Succ vx150) == GT)",fontsize=16,color="black",shape="box"];475 -> 492[label="",style="solid", color="black", weight=3];
10.19/4.16	476 -> 444[label="",style="dashed", color="red", weight=0];
10.19/4.16	476[label="not (LT == GT)",fontsize=16,color="magenta"];477 -> 470[label="",style="dashed", color="red", weight=0];
10.19/4.16	477[label="not (EQ == GT)",fontsize=16,color="magenta"];478 -> 422[label="",style="dashed", color="red", weight=0];
10.19/4.16	478[label="not (primCmpNat (Succ vx230) Zero == GT)",fontsize=16,color="magenta"];478 -> 493[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	478 -> 494[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	479 -> 470[label="",style="dashed", color="red", weight=0];
10.19/4.16	479[label="not (EQ == GT)",fontsize=16,color="magenta"];480[label="primPlusNat (Succ vx1400) (Succ vx41000)",fontsize=16,color="black",shape="box"];480 -> 495[label="",style="solid", color="black", weight=3];
10.19/4.16	481[label="primPlusNat (Succ vx1400) Zero",fontsize=16,color="black",shape="box"];481 -> 496[label="",style="solid", color="black", weight=3];
10.19/4.16	482[label="primPlusNat Zero (Succ vx41000)",fontsize=16,color="black",shape="box"];482 -> 497[label="",style="solid", color="black", weight=3];
10.19/4.16	483[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];483 -> 498[label="",style="solid", color="black", weight=3];
10.19/4.16	484[label="not (primCmpNat vx100 vx160 == GT)",fontsize=16,color="burlywood",shape="triangle"];578[label="vx100/Succ vx1000",fontsize=10,color="white",style="solid",shape="box"];484 -> 578[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	578 -> 499[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	579[label="vx100/Zero",fontsize=10,color="white",style="solid",shape="box"];484 -> 579[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	579 -> 500[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	485 -> 425[label="",style="dashed", color="red", weight=0];
10.19/4.16	485[label="not (GT == GT)",fontsize=16,color="magenta"];486[label="False",fontsize=16,color="green",shape="box"];487[label="vx180",fontsize=16,color="green",shape="box"];488[label="Zero",fontsize=16,color="green",shape="box"];489 -> 473[label="",style="dashed", color="red", weight=0];
10.19/4.16	489[label="not False",fontsize=16,color="magenta"];490[label="True",fontsize=16,color="green",shape="box"];491 -> 484[label="",style="dashed", color="red", weight=0];
10.19/4.16	491[label="not (primCmpNat vx210 vx150 == GT)",fontsize=16,color="magenta"];491 -> 501[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	491 -> 502[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	492 -> 444[label="",style="dashed", color="red", weight=0];
10.19/4.16	492[label="not (LT == GT)",fontsize=16,color="magenta"];493[label="Zero",fontsize=16,color="green",shape="box"];494[label="vx230",fontsize=16,color="green",shape="box"];495[label="Succ (Succ (primPlusNat vx1400 vx41000))",fontsize=16,color="green",shape="box"];495 -> 503[label="",style="dashed", color="green", weight=3];
10.19/4.16	496[label="Succ vx1400",fontsize=16,color="green",shape="box"];497[label="Succ vx41000",fontsize=16,color="green",shape="box"];498[label="Zero",fontsize=16,color="green",shape="box"];499[label="not (primCmpNat (Succ vx1000) vx160 == GT)",fontsize=16,color="burlywood",shape="box"];580[label="vx160/Succ vx1600",fontsize=10,color="white",style="solid",shape="box"];499 -> 580[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	580 -> 504[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	581[label="vx160/Zero",fontsize=10,color="white",style="solid",shape="box"];499 -> 581[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	581 -> 505[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	500[label="not (primCmpNat Zero vx160 == GT)",fontsize=16,color="burlywood",shape="box"];582[label="vx160/Succ vx1600",fontsize=10,color="white",style="solid",shape="box"];500 -> 582[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	582 -> 506[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	583[label="vx160/Zero",fontsize=10,color="white",style="solid",shape="box"];500 -> 583[label="",style="solid", color="burlywood", weight=9];
10.19/4.16	583 -> 507[label="",style="solid", color="burlywood", weight=3];
10.19/4.16	501[label="vx210",fontsize=16,color="green",shape="box"];502[label="vx150",fontsize=16,color="green",shape="box"];503 -> 419[label="",style="dashed", color="red", weight=0];
10.19/4.16	503[label="primPlusNat vx1400 vx41000",fontsize=16,color="magenta"];503 -> 508[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	503 -> 509[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	504[label="not (primCmpNat (Succ vx1000) (Succ vx1600) == GT)",fontsize=16,color="black",shape="box"];504 -> 510[label="",style="solid", color="black", weight=3];
10.19/4.16	505[label="not (primCmpNat (Succ vx1000) Zero == GT)",fontsize=16,color="black",shape="box"];505 -> 511[label="",style="solid", color="black", weight=3];
10.19/4.16	506[label="not (primCmpNat Zero (Succ vx1600) == GT)",fontsize=16,color="black",shape="box"];506 -> 512[label="",style="solid", color="black", weight=3];
10.19/4.16	507[label="not (primCmpNat Zero Zero == GT)",fontsize=16,color="black",shape="box"];507 -> 513[label="",style="solid", color="black", weight=3];
10.19/4.16	508[label="vx41000",fontsize=16,color="green",shape="box"];509[label="vx1400",fontsize=16,color="green",shape="box"];510 -> 484[label="",style="dashed", color="red", weight=0];
10.19/4.16	510[label="not (primCmpNat vx1000 vx1600 == GT)",fontsize=16,color="magenta"];510 -> 514[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	510 -> 515[label="",style="dashed", color="magenta", weight=3];
10.19/4.16	511 -> 425[label="",style="dashed", color="red", weight=0];
10.19/4.16	511[label="not (GT == GT)",fontsize=16,color="magenta"];512 -> 444[label="",style="dashed", color="red", weight=0];
10.19/4.16	512[label="not (LT == GT)",fontsize=16,color="magenta"];513 -> 470[label="",style="dashed", color="red", weight=0];
10.19/4.16	513[label="not (EQ == GT)",fontsize=16,color="magenta"];514[label="vx1000",fontsize=16,color="green",shape="box"];515[label="vx1600",fontsize=16,color="green",shape="box"];}
10.19/4.16	
10.19/4.16	----------------------------------------
10.19/4.16	
10.19/4.16	(6)
10.19/4.16	Complex Obligation (AND)
10.19/4.16	
10.19/4.16	----------------------------------------
10.19/4.16	
10.19/4.16	(7)
10.19/4.16	Obligation:
10.19/4.16	Q DP problem:
10.19/4.16	The TRS P consists of the following rules:
10.19/4.16	
10.19/4.16	   new_not(Succ(vx1000), Succ(vx1600)) -> new_not(vx1000, vx1600)
10.19/4.16	
10.19/4.16	R is empty.
10.19/4.16	Q is empty.
10.19/4.16	We have to consider all minimal (P,Q,R)-chains.
10.19/4.16	----------------------------------------
10.19/4.16	
10.19/4.16	(8) QDPSizeChangeProof (EQUIVALENT)
10.19/4.16	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. 
10.19/4.16	
10.19/4.16	From the DPs we obtained the following set of size-change graphs:
10.19/4.16	*new_not(Succ(vx1000), Succ(vx1600)) -> new_not(vx1000, vx1600)
10.19/4.16	The graph contains the following edges 1 > 1, 2 > 2
10.19/4.16	
10.19/4.16	
10.19/4.16	----------------------------------------
10.19/4.16	
10.19/4.16	(9)
10.19/4.16	YES
10.19/4.16	
10.19/4.16	----------------------------------------
10.19/4.16	
10.19/4.16	(10)
10.19/4.16	Obligation:
10.19/4.16	Q DP problem:
10.19/4.16	The TRS P consists of the following rules:
10.19/4.16	
10.19/4.16	   new_primMulNat(Succ(vx3000), Succ(vx4100)) -> new_primMulNat(vx3000, Succ(vx4100))
10.19/4.16	
10.19/4.16	R is empty.
10.19/4.16	Q is empty.
10.19/4.16	We have to consider all minimal (P,Q,R)-chains.
10.19/4.16	----------------------------------------
10.19/4.16	
10.19/4.16	(11) QDPSizeChangeProof (EQUIVALENT)
10.19/4.16	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. 
10.19/4.16	
10.19/4.16	From the DPs we obtained the following set of size-change graphs:
10.19/4.16	*new_primMulNat(Succ(vx3000), Succ(vx4100)) -> new_primMulNat(vx3000, Succ(vx4100))
10.19/4.16	The graph contains the following edges 1 > 1, 2 >= 2
10.19/4.16	
10.19/4.16	
10.19/4.16	----------------------------------------
10.19/4.16	
10.19/4.16	(12)
10.19/4.16	YES
10.19/4.16	
10.19/4.16	----------------------------------------
10.19/4.16	
10.19/4.16	(13)
10.19/4.16	Obligation:
10.19/4.16	Q DP problem:
10.19/4.16	The TRS P consists of the following rules:
10.19/4.16	
10.19/4.16	   new_primPlusNat(Succ(vx1400), Succ(vx41000)) -> new_primPlusNat(vx1400, vx41000)
10.19/4.16	
10.19/4.16	R is empty.
10.19/4.16	Q is empty.
10.19/4.16	We have to consider all minimal (P,Q,R)-chains.
10.19/4.16	----------------------------------------
10.19/4.16	
10.19/4.16	(14) QDPSizeChangeProof (EQUIVALENT)
10.19/4.16	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. 
10.19/4.16	
10.19/4.16	From the DPs we obtained the following set of size-change graphs:
10.19/4.16	*new_primPlusNat(Succ(vx1400), Succ(vx41000)) -> new_primPlusNat(vx1400, vx41000)
10.19/4.16	The graph contains the following edges 1 > 1, 2 > 2
10.19/4.16	
10.19/4.16	
10.19/4.16	----------------------------------------
10.19/4.16	
10.19/4.16	(15)
10.19/4.16	YES
10.41/4.20	EOF