8.88/3.71	YES
10.59/4.16	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
10.59/4.16	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
10.59/4.16	
10.59/4.16	
10.59/4.16	H-Termination with start terms of the given HASKELL could be proven:
10.59/4.16	
10.59/4.16	(0) HASKELL
10.59/4.16	(1) BR [EQUIVALENT, 0 ms]
10.59/4.16	(2) HASKELL
10.59/4.16	(3) COR [EQUIVALENT, 0 ms]
10.59/4.16	(4) HASKELL
10.59/4.16	(5) Narrow [SOUND, 0 ms]
10.59/4.16	(6) AND
10.59/4.16	    (7) QDP
10.59/4.16	        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.59/4.16	        (9) YES
10.59/4.16	    (10) QDP
10.59/4.16	        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.59/4.16	        (12) YES
10.59/4.16	    (13) QDP
10.59/4.16	        (14) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.59/4.16	        (15) YES
10.59/4.16	
10.59/4.16	
10.59/4.16	----------------------------------------
10.59/4.16	
10.59/4.16	(0)
10.59/4.16	Obligation:
10.59/4.16	mainModule Main 
10.59/4.16	module Main where {
10.59/4.16	import qualified Prelude;
10.59/4.16	}
10.59/4.16	
10.59/4.16	----------------------------------------
10.59/4.16	
10.59/4.16	(1) BR (EQUIVALENT)
10.59/4.16	Replaced joker patterns by fresh variables and removed binding patterns.
10.59/4.16	----------------------------------------
10.59/4.16	
10.59/4.16	(2)
10.59/4.16	Obligation:
10.59/4.16	mainModule Main 
10.59/4.16	module Main where {
10.59/4.16	import qualified Prelude;
10.59/4.16	}
10.59/4.16	
10.59/4.16	----------------------------------------
10.59/4.16	
10.59/4.16	(3) COR (EQUIVALENT)
10.59/4.16	Cond Reductions:
10.59/4.16	The following Function with conditions
10.59/4.16	"undefined |Falseundefined;
10.59/4.16	"
10.59/4.16	is transformed to
10.59/4.16	"undefined  = undefined1;
10.59/4.16	"
10.59/4.16	"undefined0 True = undefined;
10.59/4.16	"
10.59/4.16	"undefined1  = undefined0 False;
10.59/4.16	"
10.59/4.16	
10.59/4.16	----------------------------------------
10.59/4.16	
10.59/4.16	(4)
10.59/4.16	Obligation:
10.59/4.16	mainModule Main 
10.59/4.16	module Main where {
10.59/4.16	import qualified Prelude;
10.59/4.16	}
10.59/4.16	
10.59/4.16	----------------------------------------
10.59/4.16	
10.59/4.16	(5) Narrow (SOUND)
10.59/4.16	Haskell To QDPs
10.59/4.16	
10.59/4.16	digraph dp_graph {
10.59/4.16	node [outthreshold=100, inthreshold=100];1[label="(<)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
10.59/4.16	3[label="(<) vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
10.59/4.16	4[label="(<) vx3 vx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
10.59/4.16	5[label="compare vx3 vx4 == LT",fontsize=16,color="burlywood",shape="box"];511[label="vx3/vx30 :% vx31",fontsize=10,color="white",style="solid",shape="box"];5 -> 511[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	511 -> 6[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	6[label="compare (vx30 :% vx31) vx4 == LT",fontsize=16,color="burlywood",shape="box"];512[label="vx4/vx40 :% vx41",fontsize=10,color="white",style="solid",shape="box"];6 -> 512[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	512 -> 7[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	7[label="compare (vx30 :% vx31) (vx40 :% vx41) == LT",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3];
10.59/4.16	8[label="compare (vx30 * vx41) (vx40 * vx31) == LT",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3];
10.59/4.16	9[label="primCmpInt (vx30 * vx41) (vx40 * vx31) == LT",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3];
10.59/4.16	10[label="primCmpInt (primMulInt vx30 vx41) (vx40 * vx31) == LT",fontsize=16,color="burlywood",shape="box"];513[label="vx30/Pos vx300",fontsize=10,color="white",style="solid",shape="box"];10 -> 513[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	513 -> 11[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	514[label="vx30/Neg vx300",fontsize=10,color="white",style="solid",shape="box"];10 -> 514[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	514 -> 12[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	11[label="primCmpInt (primMulInt (Pos vx300) vx41) (vx40 * vx31) == LT",fontsize=16,color="burlywood",shape="box"];515[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];11 -> 515[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	515 -> 13[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	516[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];11 -> 516[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	516 -> 14[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	12[label="primCmpInt (primMulInt (Neg vx300) vx41) (vx40 * vx31) == LT",fontsize=16,color="burlywood",shape="box"];517[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];12 -> 517[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	517 -> 15[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	518[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];12 -> 518[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	518 -> 16[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	13[label="primCmpInt (primMulInt (Pos vx300) (Pos vx410)) (vx40 * vx31) == LT",fontsize=16,color="black",shape="box"];13 -> 17[label="",style="solid", color="black", weight=3];
10.59/4.16	14[label="primCmpInt (primMulInt (Pos vx300) (Neg vx410)) (vx40 * vx31) == LT",fontsize=16,color="black",shape="box"];14 -> 18[label="",style="solid", color="black", weight=3];
10.59/4.16	15[label="primCmpInt (primMulInt (Neg vx300) (Pos vx410)) (vx40 * vx31) == LT",fontsize=16,color="black",shape="box"];15 -> 19[label="",style="solid", color="black", weight=3];
10.59/4.16	16[label="primCmpInt (primMulInt (Neg vx300) (Neg vx410)) (vx40 * vx31) == LT",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3];
10.59/4.16	17 -> 267[label="",style="dashed", color="red", weight=0];
10.59/4.16	17[label="primCmpInt (Pos (primMulNat vx300 vx410)) (vx40 * vx31) == LT",fontsize=16,color="magenta"];17 -> 268[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	18 -> 343[label="",style="dashed", color="red", weight=0];
10.59/4.16	18[label="primCmpInt (Neg (primMulNat vx300 vx410)) (vx40 * vx31) == LT",fontsize=16,color="magenta"];18 -> 344[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	19 -> 343[label="",style="dashed", color="red", weight=0];
10.59/4.16	19[label="primCmpInt (Neg (primMulNat vx300 vx410)) (vx40 * vx31) == LT",fontsize=16,color="magenta"];19 -> 345[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	20 -> 267[label="",style="dashed", color="red", weight=0];
10.59/4.16	20[label="primCmpInt (Pos (primMulNat vx300 vx410)) (vx40 * vx31) == LT",fontsize=16,color="magenta"];20 -> 269[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	268[label="primMulNat vx300 vx410",fontsize=16,color="burlywood",shape="triangle"];519[label="vx300/Succ vx3000",fontsize=10,color="white",style="solid",shape="box"];268 -> 519[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	519 -> 280[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	520[label="vx300/Zero",fontsize=10,color="white",style="solid",shape="box"];268 -> 520[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	520 -> 281[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	267[label="primCmpInt (Pos vx10) (vx40 * vx31) == LT",fontsize=16,color="burlywood",shape="triangle"];521[label="vx10/Succ vx100",fontsize=10,color="white",style="solid",shape="box"];267 -> 521[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	521 -> 282[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	522[label="vx10/Zero",fontsize=10,color="white",style="solid",shape="box"];267 -> 522[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	522 -> 283[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	344 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	344[label="primMulNat vx300 vx410",fontsize=16,color="magenta"];344 -> 356[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	343[label="primCmpInt (Neg vx15) (vx40 * vx31) == LT",fontsize=16,color="burlywood",shape="triangle"];523[label="vx15/Succ vx150",fontsize=10,color="white",style="solid",shape="box"];343 -> 523[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	523 -> 357[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	524[label="vx15/Zero",fontsize=10,color="white",style="solid",shape="box"];343 -> 524[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	524 -> 358[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	345 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	345[label="primMulNat vx300 vx410",fontsize=16,color="magenta"];345 -> 359[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	269 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	269[label="primMulNat vx300 vx410",fontsize=16,color="magenta"];269 -> 284[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	269 -> 285[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	280[label="primMulNat (Succ vx3000) vx410",fontsize=16,color="burlywood",shape="box"];525[label="vx410/Succ vx4100",fontsize=10,color="white",style="solid",shape="box"];280 -> 525[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	525 -> 300[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	526[label="vx410/Zero",fontsize=10,color="white",style="solid",shape="box"];280 -> 526[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	526 -> 301[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	281[label="primMulNat Zero vx410",fontsize=16,color="burlywood",shape="box"];527[label="vx410/Succ vx4100",fontsize=10,color="white",style="solid",shape="box"];281 -> 527[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	527 -> 302[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	528[label="vx410/Zero",fontsize=10,color="white",style="solid",shape="box"];281 -> 528[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	528 -> 303[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	282[label="primCmpInt (Pos (Succ vx100)) (vx40 * vx31) == LT",fontsize=16,color="black",shape="box"];282 -> 304[label="",style="solid", color="black", weight=3];
10.59/4.16	283[label="primCmpInt (Pos Zero) (vx40 * vx31) == LT",fontsize=16,color="black",shape="box"];283 -> 305[label="",style="solid", color="black", weight=3];
10.59/4.16	356[label="vx410",fontsize=16,color="green",shape="box"];357[label="primCmpInt (Neg (Succ vx150)) (vx40 * vx31) == LT",fontsize=16,color="black",shape="box"];357 -> 370[label="",style="solid", color="black", weight=3];
10.59/4.16	358[label="primCmpInt (Neg Zero) (vx40 * vx31) == LT",fontsize=16,color="black",shape="box"];358 -> 371[label="",style="solid", color="black", weight=3];
10.59/4.16	359[label="vx300",fontsize=16,color="green",shape="box"];284[label="vx300",fontsize=16,color="green",shape="box"];285[label="vx410",fontsize=16,color="green",shape="box"];300[label="primMulNat (Succ vx3000) (Succ vx4100)",fontsize=16,color="black",shape="box"];300 -> 316[label="",style="solid", color="black", weight=3];
10.59/4.16	301[label="primMulNat (Succ vx3000) Zero",fontsize=16,color="black",shape="box"];301 -> 317[label="",style="solid", color="black", weight=3];
10.59/4.16	302[label="primMulNat Zero (Succ vx4100)",fontsize=16,color="black",shape="box"];302 -> 318[label="",style="solid", color="black", weight=3];
10.59/4.16	303[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];303 -> 319[label="",style="solid", color="black", weight=3];
10.59/4.16	304[label="primCmpInt (Pos (Succ vx100)) (primMulInt vx40 vx31) == LT",fontsize=16,color="burlywood",shape="box"];529[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];304 -> 529[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	529 -> 320[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	530[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];304 -> 530[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	530 -> 321[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	305[label="primCmpInt (Pos Zero) (primMulInt vx40 vx31) == LT",fontsize=16,color="burlywood",shape="box"];531[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];305 -> 531[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	531 -> 322[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	532[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];305 -> 532[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	532 -> 323[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	370[label="primCmpInt (Neg (Succ vx150)) (primMulInt vx40 vx31) == LT",fontsize=16,color="burlywood",shape="box"];533[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];370 -> 533[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	533 -> 375[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	534[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];370 -> 534[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	534 -> 376[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	371[label="primCmpInt (Neg Zero) (primMulInt vx40 vx31) == LT",fontsize=16,color="burlywood",shape="box"];535[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];371 -> 535[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	535 -> 377[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	536[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];371 -> 536[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	536 -> 378[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	316 -> 329[label="",style="dashed", color="red", weight=0];
10.59/4.16	316[label="primPlusNat (primMulNat vx3000 (Succ vx4100)) (Succ vx4100)",fontsize=16,color="magenta"];316 -> 330[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	317[label="Zero",fontsize=16,color="green",shape="box"];318[label="Zero",fontsize=16,color="green",shape="box"];319[label="Zero",fontsize=16,color="green",shape="box"];320[label="primCmpInt (Pos (Succ vx100)) (primMulInt (Pos vx400) vx31) == LT",fontsize=16,color="burlywood",shape="box"];537[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];320 -> 537[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	537 -> 331[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	538[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];320 -> 538[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	538 -> 332[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	321[label="primCmpInt (Pos (Succ vx100)) (primMulInt (Neg vx400) vx31) == LT",fontsize=16,color="burlywood",shape="box"];539[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];321 -> 539[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	539 -> 333[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	540[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];321 -> 540[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	540 -> 334[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	322[label="primCmpInt (Pos Zero) (primMulInt (Pos vx400) vx31) == LT",fontsize=16,color="burlywood",shape="box"];541[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];322 -> 541[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	541 -> 335[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	542[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];322 -> 542[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	542 -> 336[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	323[label="primCmpInt (Pos Zero) (primMulInt (Neg vx400) vx31) == LT",fontsize=16,color="burlywood",shape="box"];543[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];323 -> 543[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	543 -> 337[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	544[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];323 -> 544[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	544 -> 338[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	375[label="primCmpInt (Neg (Succ vx150)) (primMulInt (Pos vx400) vx31) == LT",fontsize=16,color="burlywood",shape="box"];545[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];375 -> 545[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	545 -> 382[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	546[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];375 -> 546[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	546 -> 383[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	376[label="primCmpInt (Neg (Succ vx150)) (primMulInt (Neg vx400) vx31) == LT",fontsize=16,color="burlywood",shape="box"];547[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];376 -> 547[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	547 -> 384[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	548[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];376 -> 548[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	548 -> 385[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	377[label="primCmpInt (Neg Zero) (primMulInt (Pos vx400) vx31) == LT",fontsize=16,color="burlywood",shape="box"];549[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];377 -> 549[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	549 -> 386[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	550[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];377 -> 550[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	550 -> 387[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	378[label="primCmpInt (Neg Zero) (primMulInt (Neg vx400) vx31) == LT",fontsize=16,color="burlywood",shape="box"];551[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];378 -> 551[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	551 -> 388[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	552[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];378 -> 552[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	552 -> 389[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	330 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	330[label="primMulNat vx3000 (Succ vx4100)",fontsize=16,color="magenta"];330 -> 339[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	330 -> 340[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	329[label="primPlusNat vx14 (Succ vx4100)",fontsize=16,color="burlywood",shape="triangle"];553[label="vx14/Succ vx140",fontsize=10,color="white",style="solid",shape="box"];329 -> 553[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	553 -> 341[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	554[label="vx14/Zero",fontsize=10,color="white",style="solid",shape="box"];329 -> 554[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	554 -> 342[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	331[label="primCmpInt (Pos (Succ vx100)) (primMulInt (Pos vx400) (Pos vx310)) == LT",fontsize=16,color="black",shape="box"];331 -> 360[label="",style="solid", color="black", weight=3];
10.59/4.16	332[label="primCmpInt (Pos (Succ vx100)) (primMulInt (Pos vx400) (Neg vx310)) == LT",fontsize=16,color="black",shape="box"];332 -> 361[label="",style="solid", color="black", weight=3];
10.59/4.16	333[label="primCmpInt (Pos (Succ vx100)) (primMulInt (Neg vx400) (Pos vx310)) == LT",fontsize=16,color="black",shape="box"];333 -> 362[label="",style="solid", color="black", weight=3];
10.59/4.16	334[label="primCmpInt (Pos (Succ vx100)) (primMulInt (Neg vx400) (Neg vx310)) == LT",fontsize=16,color="black",shape="box"];334 -> 363[label="",style="solid", color="black", weight=3];
10.59/4.16	335[label="primCmpInt (Pos Zero) (primMulInt (Pos vx400) (Pos vx310)) == LT",fontsize=16,color="black",shape="box"];335 -> 364[label="",style="solid", color="black", weight=3];
10.59/4.16	336[label="primCmpInt (Pos Zero) (primMulInt (Pos vx400) (Neg vx310)) == LT",fontsize=16,color="black",shape="box"];336 -> 365[label="",style="solid", color="black", weight=3];
10.59/4.16	337[label="primCmpInt (Pos Zero) (primMulInt (Neg vx400) (Pos vx310)) == LT",fontsize=16,color="black",shape="box"];337 -> 366[label="",style="solid", color="black", weight=3];
10.59/4.16	338[label="primCmpInt (Pos Zero) (primMulInt (Neg vx400) (Neg vx310)) == LT",fontsize=16,color="black",shape="box"];338 -> 367[label="",style="solid", color="black", weight=3];
10.59/4.16	382[label="primCmpInt (Neg (Succ vx150)) (primMulInt (Pos vx400) (Pos vx310)) == LT",fontsize=16,color="black",shape="box"];382 -> 393[label="",style="solid", color="black", weight=3];
10.59/4.16	383[label="primCmpInt (Neg (Succ vx150)) (primMulInt (Pos vx400) (Neg vx310)) == LT",fontsize=16,color="black",shape="box"];383 -> 394[label="",style="solid", color="black", weight=3];
10.59/4.16	384[label="primCmpInt (Neg (Succ vx150)) (primMulInt (Neg vx400) (Pos vx310)) == LT",fontsize=16,color="black",shape="box"];384 -> 395[label="",style="solid", color="black", weight=3];
10.59/4.16	385[label="primCmpInt (Neg (Succ vx150)) (primMulInt (Neg vx400) (Neg vx310)) == LT",fontsize=16,color="black",shape="box"];385 -> 396[label="",style="solid", color="black", weight=3];
10.59/4.16	386[label="primCmpInt (Neg Zero) (primMulInt (Pos vx400) (Pos vx310)) == LT",fontsize=16,color="black",shape="box"];386 -> 397[label="",style="solid", color="black", weight=3];
10.59/4.16	387[label="primCmpInt (Neg Zero) (primMulInt (Pos vx400) (Neg vx310)) == LT",fontsize=16,color="black",shape="box"];387 -> 398[label="",style="solid", color="black", weight=3];
10.59/4.16	388[label="primCmpInt (Neg Zero) (primMulInt (Neg vx400) (Pos vx310)) == LT",fontsize=16,color="black",shape="box"];388 -> 399[label="",style="solid", color="black", weight=3];
10.59/4.16	389[label="primCmpInt (Neg Zero) (primMulInt (Neg vx400) (Neg vx310)) == LT",fontsize=16,color="black",shape="box"];389 -> 400[label="",style="solid", color="black", weight=3];
10.59/4.16	339[label="vx3000",fontsize=16,color="green",shape="box"];340[label="Succ vx4100",fontsize=16,color="green",shape="box"];341[label="primPlusNat (Succ vx140) (Succ vx4100)",fontsize=16,color="black",shape="box"];341 -> 368[label="",style="solid", color="black", weight=3];
10.59/4.16	342[label="primPlusNat Zero (Succ vx4100)",fontsize=16,color="black",shape="box"];342 -> 369[label="",style="solid", color="black", weight=3];
10.59/4.16	360 -> 372[label="",style="dashed", color="red", weight=0];
10.59/4.16	360[label="primCmpInt (Pos (Succ vx100)) (Pos (primMulNat vx400 vx310)) == LT",fontsize=16,color="magenta"];360 -> 373[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	361 -> 379[label="",style="dashed", color="red", weight=0];
10.59/4.16	361[label="primCmpInt (Pos (Succ vx100)) (Neg (primMulNat vx400 vx310)) == LT",fontsize=16,color="magenta"];361 -> 380[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	362 -> 379[label="",style="dashed", color="red", weight=0];
10.59/4.16	362[label="primCmpInt (Pos (Succ vx100)) (Neg (primMulNat vx400 vx310)) == LT",fontsize=16,color="magenta"];362 -> 381[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	363 -> 372[label="",style="dashed", color="red", weight=0];
10.59/4.16	363[label="primCmpInt (Pos (Succ vx100)) (Pos (primMulNat vx400 vx310)) == LT",fontsize=16,color="magenta"];363 -> 374[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	364 -> 390[label="",style="dashed", color="red", weight=0];
10.59/4.16	364[label="primCmpInt (Pos Zero) (Pos (primMulNat vx400 vx310)) == LT",fontsize=16,color="magenta"];364 -> 391[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	365 -> 401[label="",style="dashed", color="red", weight=0];
10.59/4.16	365[label="primCmpInt (Pos Zero) (Neg (primMulNat vx400 vx310)) == LT",fontsize=16,color="magenta"];365 -> 402[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	366 -> 401[label="",style="dashed", color="red", weight=0];
10.59/4.16	366[label="primCmpInt (Pos Zero) (Neg (primMulNat vx400 vx310)) == LT",fontsize=16,color="magenta"];366 -> 403[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	367 -> 390[label="",style="dashed", color="red", weight=0];
10.59/4.16	367[label="primCmpInt (Pos Zero) (Pos (primMulNat vx400 vx310)) == LT",fontsize=16,color="magenta"];367 -> 392[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	393 -> 404[label="",style="dashed", color="red", weight=0];
10.59/4.16	393[label="primCmpInt (Neg (Succ vx150)) (Pos (primMulNat vx400 vx310)) == LT",fontsize=16,color="magenta"];393 -> 405[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	394 -> 407[label="",style="dashed", color="red", weight=0];
10.59/4.16	394[label="primCmpInt (Neg (Succ vx150)) (Neg (primMulNat vx400 vx310)) == LT",fontsize=16,color="magenta"];394 -> 408[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	395 -> 407[label="",style="dashed", color="red", weight=0];
10.59/4.16	395[label="primCmpInt (Neg (Succ vx150)) (Neg (primMulNat vx400 vx310)) == LT",fontsize=16,color="magenta"];395 -> 409[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	396 -> 404[label="",style="dashed", color="red", weight=0];
10.59/4.16	396[label="primCmpInt (Neg (Succ vx150)) (Pos (primMulNat vx400 vx310)) == LT",fontsize=16,color="magenta"];396 -> 406[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	397 -> 410[label="",style="dashed", color="red", weight=0];
10.59/4.16	397[label="primCmpInt (Neg Zero) (Pos (primMulNat vx400 vx310)) == LT",fontsize=16,color="magenta"];397 -> 411[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	398 -> 413[label="",style="dashed", color="red", weight=0];
10.59/4.16	398[label="primCmpInt (Neg Zero) (Neg (primMulNat vx400 vx310)) == LT",fontsize=16,color="magenta"];398 -> 414[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	399 -> 413[label="",style="dashed", color="red", weight=0];
10.59/4.16	399[label="primCmpInt (Neg Zero) (Neg (primMulNat vx400 vx310)) == LT",fontsize=16,color="magenta"];399 -> 415[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	400 -> 410[label="",style="dashed", color="red", weight=0];
10.59/4.16	400[label="primCmpInt (Neg Zero) (Pos (primMulNat vx400 vx310)) == LT",fontsize=16,color="magenta"];400 -> 412[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	368[label="Succ (Succ (primPlusNat vx140 vx4100))",fontsize=16,color="green",shape="box"];368 -> 416[label="",style="dashed", color="green", weight=3];
10.59/4.16	369[label="Succ vx4100",fontsize=16,color="green",shape="box"];373 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	373[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];373 -> 417[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	373 -> 418[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	372[label="primCmpInt (Pos (Succ vx100)) (Pos vx16) == LT",fontsize=16,color="black",shape="triangle"];372 -> 419[label="",style="solid", color="black", weight=3];
10.59/4.16	380 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	380[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];380 -> 420[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	380 -> 421[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	379[label="primCmpInt (Pos (Succ vx100)) (Neg vx17) == LT",fontsize=16,color="black",shape="triangle"];379 -> 422[label="",style="solid", color="black", weight=3];
10.59/4.16	381 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	381[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];381 -> 423[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	381 -> 424[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	374 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	374[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];374 -> 425[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	374 -> 426[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	391 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	391[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];391 -> 427[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	391 -> 428[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	390[label="primCmpInt (Pos Zero) (Pos vx18) == LT",fontsize=16,color="burlywood",shape="triangle"];555[label="vx18/Succ vx180",fontsize=10,color="white",style="solid",shape="box"];390 -> 555[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	555 -> 429[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	556[label="vx18/Zero",fontsize=10,color="white",style="solid",shape="box"];390 -> 556[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	556 -> 430[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	402 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	402[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];402 -> 431[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	402 -> 432[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	401[label="primCmpInt (Pos Zero) (Neg vx19) == LT",fontsize=16,color="burlywood",shape="triangle"];557[label="vx19/Succ vx190",fontsize=10,color="white",style="solid",shape="box"];401 -> 557[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	557 -> 433[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	558[label="vx19/Zero",fontsize=10,color="white",style="solid",shape="box"];401 -> 558[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	558 -> 434[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	403 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	403[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];403 -> 435[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	403 -> 436[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	392 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	392[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];392 -> 437[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	392 -> 438[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	405 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	405[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];405 -> 439[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	405 -> 440[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	404[label="primCmpInt (Neg (Succ vx150)) (Pos vx20) == LT",fontsize=16,color="black",shape="triangle"];404 -> 441[label="",style="solid", color="black", weight=3];
10.59/4.16	408 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	408[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];408 -> 442[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	408 -> 443[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	407[label="primCmpInt (Neg (Succ vx150)) (Neg vx21) == LT",fontsize=16,color="black",shape="triangle"];407 -> 444[label="",style="solid", color="black", weight=3];
10.59/4.16	409 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	409[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];409 -> 445[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	409 -> 446[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	406 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	406[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];406 -> 447[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	406 -> 448[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	411 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	411[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];411 -> 449[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	411 -> 450[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	410[label="primCmpInt (Neg Zero) (Pos vx22) == LT",fontsize=16,color="burlywood",shape="triangle"];559[label="vx22/Succ vx220",fontsize=10,color="white",style="solid",shape="box"];410 -> 559[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	559 -> 451[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	560[label="vx22/Zero",fontsize=10,color="white",style="solid",shape="box"];410 -> 560[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	560 -> 452[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	414 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	414[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];414 -> 453[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	414 -> 454[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	413[label="primCmpInt (Neg Zero) (Neg vx23) == LT",fontsize=16,color="burlywood",shape="triangle"];561[label="vx23/Succ vx230",fontsize=10,color="white",style="solid",shape="box"];413 -> 561[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	561 -> 455[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	562[label="vx23/Zero",fontsize=10,color="white",style="solid",shape="box"];413 -> 562[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	562 -> 456[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	415 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	415[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];415 -> 457[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	415 -> 458[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	412 -> 268[label="",style="dashed", color="red", weight=0];
10.59/4.16	412[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];412 -> 459[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	412 -> 460[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	416[label="primPlusNat vx140 vx4100",fontsize=16,color="burlywood",shape="triangle"];563[label="vx140/Succ vx1400",fontsize=10,color="white",style="solid",shape="box"];416 -> 563[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	563 -> 461[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	564[label="vx140/Zero",fontsize=10,color="white",style="solid",shape="box"];416 -> 564[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	564 -> 462[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	417[label="vx400",fontsize=16,color="green",shape="box"];418[label="vx310",fontsize=16,color="green",shape="box"];419[label="primCmpNat (Succ vx100) vx16 == LT",fontsize=16,color="burlywood",shape="triangle"];565[label="vx16/Succ vx160",fontsize=10,color="white",style="solid",shape="box"];419 -> 565[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	565 -> 463[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	566[label="vx16/Zero",fontsize=10,color="white",style="solid",shape="box"];419 -> 566[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	566 -> 464[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	420[label="vx400",fontsize=16,color="green",shape="box"];421[label="vx310",fontsize=16,color="green",shape="box"];422[label="GT == LT",fontsize=16,color="black",shape="triangle"];422 -> 465[label="",style="solid", color="black", weight=3];
10.59/4.16	423[label="vx400",fontsize=16,color="green",shape="box"];424[label="vx310",fontsize=16,color="green",shape="box"];425[label="vx400",fontsize=16,color="green",shape="box"];426[label="vx310",fontsize=16,color="green",shape="box"];427[label="vx400",fontsize=16,color="green",shape="box"];428[label="vx310",fontsize=16,color="green",shape="box"];429[label="primCmpInt (Pos Zero) (Pos (Succ vx180)) == LT",fontsize=16,color="black",shape="box"];429 -> 466[label="",style="solid", color="black", weight=3];
10.59/4.16	430[label="primCmpInt (Pos Zero) (Pos Zero) == LT",fontsize=16,color="black",shape="box"];430 -> 467[label="",style="solid", color="black", weight=3];
10.59/4.16	431[label="vx400",fontsize=16,color="green",shape="box"];432[label="vx310",fontsize=16,color="green",shape="box"];433[label="primCmpInt (Pos Zero) (Neg (Succ vx190)) == LT",fontsize=16,color="black",shape="box"];433 -> 468[label="",style="solid", color="black", weight=3];
10.59/4.16	434[label="primCmpInt (Pos Zero) (Neg Zero) == LT",fontsize=16,color="black",shape="box"];434 -> 469[label="",style="solid", color="black", weight=3];
10.59/4.16	435[label="vx400",fontsize=16,color="green",shape="box"];436[label="vx310",fontsize=16,color="green",shape="box"];437[label="vx400",fontsize=16,color="green",shape="box"];438[label="vx310",fontsize=16,color="green",shape="box"];439[label="vx400",fontsize=16,color="green",shape="box"];440[label="vx310",fontsize=16,color="green",shape="box"];441[label="LT == LT",fontsize=16,color="black",shape="triangle"];441 -> 470[label="",style="solid", color="black", weight=3];
10.59/4.16	442[label="vx400",fontsize=16,color="green",shape="box"];443[label="vx310",fontsize=16,color="green",shape="box"];444[label="primCmpNat vx21 (Succ vx150) == LT",fontsize=16,color="burlywood",shape="triangle"];567[label="vx21/Succ vx210",fontsize=10,color="white",style="solid",shape="box"];444 -> 567[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	567 -> 471[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	568[label="vx21/Zero",fontsize=10,color="white",style="solid",shape="box"];444 -> 568[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	568 -> 472[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	445[label="vx400",fontsize=16,color="green",shape="box"];446[label="vx310",fontsize=16,color="green",shape="box"];447[label="vx400",fontsize=16,color="green",shape="box"];448[label="vx310",fontsize=16,color="green",shape="box"];449[label="vx400",fontsize=16,color="green",shape="box"];450[label="vx310",fontsize=16,color="green",shape="box"];451[label="primCmpInt (Neg Zero) (Pos (Succ vx220)) == LT",fontsize=16,color="black",shape="box"];451 -> 473[label="",style="solid", color="black", weight=3];
10.59/4.16	452[label="primCmpInt (Neg Zero) (Pos Zero) == LT",fontsize=16,color="black",shape="box"];452 -> 474[label="",style="solid", color="black", weight=3];
10.59/4.16	453[label="vx400",fontsize=16,color="green",shape="box"];454[label="vx310",fontsize=16,color="green",shape="box"];455[label="primCmpInt (Neg Zero) (Neg (Succ vx230)) == LT",fontsize=16,color="black",shape="box"];455 -> 475[label="",style="solid", color="black", weight=3];
10.59/4.16	456[label="primCmpInt (Neg Zero) (Neg Zero) == LT",fontsize=16,color="black",shape="box"];456 -> 476[label="",style="solid", color="black", weight=3];
10.59/4.16	457[label="vx400",fontsize=16,color="green",shape="box"];458[label="vx310",fontsize=16,color="green",shape="box"];459[label="vx400",fontsize=16,color="green",shape="box"];460[label="vx310",fontsize=16,color="green",shape="box"];461[label="primPlusNat (Succ vx1400) vx4100",fontsize=16,color="burlywood",shape="box"];569[label="vx4100/Succ vx41000",fontsize=10,color="white",style="solid",shape="box"];461 -> 569[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	569 -> 477[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	570[label="vx4100/Zero",fontsize=10,color="white",style="solid",shape="box"];461 -> 570[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	570 -> 478[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	462[label="primPlusNat Zero vx4100",fontsize=16,color="burlywood",shape="box"];571[label="vx4100/Succ vx41000",fontsize=10,color="white",style="solid",shape="box"];462 -> 571[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	571 -> 479[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	572[label="vx4100/Zero",fontsize=10,color="white",style="solid",shape="box"];462 -> 572[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	572 -> 480[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	463[label="primCmpNat (Succ vx100) (Succ vx160) == LT",fontsize=16,color="black",shape="box"];463 -> 481[label="",style="solid", color="black", weight=3];
10.59/4.16	464[label="primCmpNat (Succ vx100) Zero == LT",fontsize=16,color="black",shape="box"];464 -> 482[label="",style="solid", color="black", weight=3];
10.59/4.16	465[label="False",fontsize=16,color="green",shape="box"];466 -> 444[label="",style="dashed", color="red", weight=0];
10.59/4.16	466[label="primCmpNat Zero (Succ vx180) == LT",fontsize=16,color="magenta"];466 -> 483[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	466 -> 484[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	467[label="EQ == LT",fontsize=16,color="black",shape="triangle"];467 -> 485[label="",style="solid", color="black", weight=3];
10.59/4.16	468 -> 422[label="",style="dashed", color="red", weight=0];
10.59/4.16	468[label="GT == LT",fontsize=16,color="magenta"];469 -> 467[label="",style="dashed", color="red", weight=0];
10.59/4.16	469[label="EQ == LT",fontsize=16,color="magenta"];470[label="True",fontsize=16,color="green",shape="box"];471[label="primCmpNat (Succ vx210) (Succ vx150) == LT",fontsize=16,color="black",shape="box"];471 -> 486[label="",style="solid", color="black", weight=3];
10.59/4.16	472[label="primCmpNat Zero (Succ vx150) == LT",fontsize=16,color="black",shape="box"];472 -> 487[label="",style="solid", color="black", weight=3];
10.59/4.16	473 -> 441[label="",style="dashed", color="red", weight=0];
10.59/4.16	473[label="LT == LT",fontsize=16,color="magenta"];474 -> 467[label="",style="dashed", color="red", weight=0];
10.59/4.16	474[label="EQ == LT",fontsize=16,color="magenta"];475 -> 419[label="",style="dashed", color="red", weight=0];
10.59/4.16	475[label="primCmpNat (Succ vx230) Zero == LT",fontsize=16,color="magenta"];475 -> 488[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	475 -> 489[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	476 -> 467[label="",style="dashed", color="red", weight=0];
10.59/4.16	476[label="EQ == LT",fontsize=16,color="magenta"];477[label="primPlusNat (Succ vx1400) (Succ vx41000)",fontsize=16,color="black",shape="box"];477 -> 490[label="",style="solid", color="black", weight=3];
10.59/4.16	478[label="primPlusNat (Succ vx1400) Zero",fontsize=16,color="black",shape="box"];478 -> 491[label="",style="solid", color="black", weight=3];
10.59/4.16	479[label="primPlusNat Zero (Succ vx41000)",fontsize=16,color="black",shape="box"];479 -> 492[label="",style="solid", color="black", weight=3];
10.59/4.16	480[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];480 -> 493[label="",style="solid", color="black", weight=3];
10.59/4.16	481[label="primCmpNat vx100 vx160 == LT",fontsize=16,color="burlywood",shape="triangle"];573[label="vx100/Succ vx1000",fontsize=10,color="white",style="solid",shape="box"];481 -> 573[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	573 -> 494[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	574[label="vx100/Zero",fontsize=10,color="white",style="solid",shape="box"];481 -> 574[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	574 -> 495[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	482 -> 422[label="",style="dashed", color="red", weight=0];
10.59/4.16	482[label="GT == LT",fontsize=16,color="magenta"];483[label="vx180",fontsize=16,color="green",shape="box"];484[label="Zero",fontsize=16,color="green",shape="box"];485[label="False",fontsize=16,color="green",shape="box"];486 -> 481[label="",style="dashed", color="red", weight=0];
10.59/4.16	486[label="primCmpNat vx210 vx150 == LT",fontsize=16,color="magenta"];486 -> 496[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	486 -> 497[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	487 -> 441[label="",style="dashed", color="red", weight=0];
10.59/4.16	487[label="LT == LT",fontsize=16,color="magenta"];488[label="Zero",fontsize=16,color="green",shape="box"];489[label="vx230",fontsize=16,color="green",shape="box"];490[label="Succ (Succ (primPlusNat vx1400 vx41000))",fontsize=16,color="green",shape="box"];490 -> 498[label="",style="dashed", color="green", weight=3];
10.59/4.16	491[label="Succ vx1400",fontsize=16,color="green",shape="box"];492[label="Succ vx41000",fontsize=16,color="green",shape="box"];493[label="Zero",fontsize=16,color="green",shape="box"];494[label="primCmpNat (Succ vx1000) vx160 == LT",fontsize=16,color="burlywood",shape="box"];575[label="vx160/Succ vx1600",fontsize=10,color="white",style="solid",shape="box"];494 -> 575[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	575 -> 499[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	576[label="vx160/Zero",fontsize=10,color="white",style="solid",shape="box"];494 -> 576[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	576 -> 500[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	495[label="primCmpNat Zero vx160 == LT",fontsize=16,color="burlywood",shape="box"];577[label="vx160/Succ vx1600",fontsize=10,color="white",style="solid",shape="box"];495 -> 577[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	577 -> 501[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	578[label="vx160/Zero",fontsize=10,color="white",style="solid",shape="box"];495 -> 578[label="",style="solid", color="burlywood", weight=9];
10.59/4.16	578 -> 502[label="",style="solid", color="burlywood", weight=3];
10.59/4.16	496[label="vx150",fontsize=16,color="green",shape="box"];497[label="vx210",fontsize=16,color="green",shape="box"];498 -> 416[label="",style="dashed", color="red", weight=0];
10.59/4.16	498[label="primPlusNat vx1400 vx41000",fontsize=16,color="magenta"];498 -> 503[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	498 -> 504[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	499[label="primCmpNat (Succ vx1000) (Succ vx1600) == LT",fontsize=16,color="black",shape="box"];499 -> 505[label="",style="solid", color="black", weight=3];
10.59/4.16	500[label="primCmpNat (Succ vx1000) Zero == LT",fontsize=16,color="black",shape="box"];500 -> 506[label="",style="solid", color="black", weight=3];
10.59/4.16	501[label="primCmpNat Zero (Succ vx1600) == LT",fontsize=16,color="black",shape="box"];501 -> 507[label="",style="solid", color="black", weight=3];
10.59/4.16	502[label="primCmpNat Zero Zero == LT",fontsize=16,color="black",shape="box"];502 -> 508[label="",style="solid", color="black", weight=3];
10.59/4.16	503[label="vx1400",fontsize=16,color="green",shape="box"];504[label="vx41000",fontsize=16,color="green",shape="box"];505 -> 481[label="",style="dashed", color="red", weight=0];
10.59/4.16	505[label="primCmpNat vx1000 vx1600 == LT",fontsize=16,color="magenta"];505 -> 509[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	505 -> 510[label="",style="dashed", color="magenta", weight=3];
10.59/4.16	506 -> 422[label="",style="dashed", color="red", weight=0];
10.59/4.16	506[label="GT == LT",fontsize=16,color="magenta"];507 -> 441[label="",style="dashed", color="red", weight=0];
10.59/4.16	507[label="LT == LT",fontsize=16,color="magenta"];508 -> 467[label="",style="dashed", color="red", weight=0];
10.59/4.16	508[label="EQ == LT",fontsize=16,color="magenta"];509[label="vx1600",fontsize=16,color="green",shape="box"];510[label="vx1000",fontsize=16,color="green",shape="box"];}
10.59/4.16	
10.59/4.16	----------------------------------------
10.59/4.16	
10.59/4.16	(6)
10.59/4.16	Complex Obligation (AND)
10.59/4.16	
10.59/4.16	----------------------------------------
10.59/4.16	
10.59/4.16	(7)
10.59/4.16	Obligation:
10.59/4.16	Q DP problem:
10.59/4.16	The TRS P consists of the following rules:
10.59/4.16	
10.59/4.16	   new_primMulNat(Succ(vx3000), Succ(vx4100)) -> new_primMulNat(vx3000, Succ(vx4100))
10.59/4.16	
10.59/4.16	R is empty.
10.59/4.16	Q is empty.
10.59/4.16	We have to consider all minimal (P,Q,R)-chains.
10.59/4.16	----------------------------------------
10.59/4.16	
10.59/4.16	(8) QDPSizeChangeProof (EQUIVALENT)
10.59/4.16	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. 
10.59/4.16	
10.59/4.16	From the DPs we obtained the following set of size-change graphs:
10.59/4.16	*new_primMulNat(Succ(vx3000), Succ(vx4100)) -> new_primMulNat(vx3000, Succ(vx4100))
10.59/4.16	The graph contains the following edges 1 > 1, 2 >= 2
10.59/4.16	
10.59/4.16	
10.59/4.16	----------------------------------------
10.59/4.16	
10.59/4.16	(9)
10.59/4.16	YES
10.59/4.16	
10.59/4.16	----------------------------------------
10.59/4.16	
10.59/4.16	(10)
10.59/4.16	Obligation:
10.59/4.16	Q DP problem:
10.59/4.16	The TRS P consists of the following rules:
10.59/4.16	
10.59/4.16	   new_esEs(Succ(vx1000), Succ(vx1600)) -> new_esEs(vx1000, vx1600)
10.59/4.16	
10.59/4.16	R is empty.
10.59/4.16	Q is empty.
10.59/4.16	We have to consider all minimal (P,Q,R)-chains.
10.59/4.16	----------------------------------------
10.59/4.16	
10.59/4.16	(11) QDPSizeChangeProof (EQUIVALENT)
10.59/4.16	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. 
10.59/4.16	
10.59/4.16	From the DPs we obtained the following set of size-change graphs:
10.59/4.16	*new_esEs(Succ(vx1000), Succ(vx1600)) -> new_esEs(vx1000, vx1600)
10.59/4.16	The graph contains the following edges 1 > 1, 2 > 2
10.59/4.16	
10.59/4.16	
10.59/4.16	----------------------------------------
10.59/4.16	
10.59/4.16	(12)
10.59/4.16	YES
10.59/4.16	
10.59/4.16	----------------------------------------
10.59/4.16	
10.59/4.16	(13)
10.59/4.16	Obligation:
10.59/4.16	Q DP problem:
10.59/4.16	The TRS P consists of the following rules:
10.59/4.16	
10.59/4.16	   new_primPlusNat(Succ(vx1400), Succ(vx41000)) -> new_primPlusNat(vx1400, vx41000)
10.59/4.16	
10.59/4.16	R is empty.
10.59/4.16	Q is empty.
10.59/4.16	We have to consider all minimal (P,Q,R)-chains.
10.59/4.16	----------------------------------------
10.59/4.16	
10.59/4.16	(14) QDPSizeChangeProof (EQUIVALENT)
10.59/4.16	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. 
10.59/4.16	
10.59/4.16	From the DPs we obtained the following set of size-change graphs:
10.59/4.16	*new_primPlusNat(Succ(vx1400), Succ(vx41000)) -> new_primPlusNat(vx1400, vx41000)
10.59/4.16	The graph contains the following edges 1 > 1, 2 > 2
10.59/4.16	
10.59/4.16	
10.59/4.16	----------------------------------------
10.59/4.16	
10.59/4.16	(15)
10.59/4.16	YES
10.79/7.06	EOF