8.26/3.70	YES
9.97/4.18	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.97/4.18	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.97/4.18	
9.97/4.18	
9.97/4.18	H-Termination with start terms of the given HASKELL could be proven:
9.97/4.18	
9.97/4.18	(0) HASKELL
9.97/4.18	(1) BR [EQUIVALENT, 0 ms]
9.97/4.18	(2) HASKELL
9.97/4.18	(3) COR [EQUIVALENT, 0 ms]
9.97/4.18	(4) HASKELL
9.97/4.18	(5) Narrow [SOUND, 0 ms]
9.97/4.18	(6) AND
9.97/4.18	    (7) QDP
9.97/4.18	        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.97/4.18	        (9) YES
9.97/4.18	    (10) QDP
9.97/4.18	        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.97/4.18	        (12) YES
9.97/4.18	    (13) QDP
9.97/4.18	        (14) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.97/4.18	        (15) YES
9.97/4.18	
9.97/4.18	
9.97/4.18	----------------------------------------
9.97/4.18	
9.97/4.18	(0)
9.97/4.18	Obligation:
9.97/4.18	mainModule Main 
9.97/4.18	module Main where {
9.97/4.18	import qualified Prelude;
9.97/4.18	}
9.97/4.18	
9.97/4.18	----------------------------------------
9.97/4.18	
9.97/4.18	(1) BR (EQUIVALENT)
9.97/4.18	Replaced joker patterns by fresh variables and removed binding patterns.
9.97/4.18	----------------------------------------
9.97/4.18	
9.97/4.18	(2)
9.97/4.18	Obligation:
9.97/4.18	mainModule Main 
9.97/4.18	module Main where {
9.97/4.18	import qualified Prelude;
9.97/4.18	}
9.97/4.18	
9.97/4.18	----------------------------------------
9.97/4.18	
9.97/4.18	(3) COR (EQUIVALENT)
9.97/4.18	Cond Reductions:
9.97/4.18	The following Function with conditions
9.97/4.18	"undefined |Falseundefined;
9.97/4.18	"
9.97/4.18	is transformed to
9.97/4.18	"undefined  = undefined1;
9.97/4.18	"
9.97/4.18	"undefined0 True = undefined;
9.97/4.18	"
9.97/4.18	"undefined1  = undefined0 False;
9.97/4.18	"
9.97/4.18	
9.97/4.18	----------------------------------------
9.97/4.18	
9.97/4.18	(4)
9.97/4.18	Obligation:
9.97/4.18	mainModule Main 
9.97/4.18	module Main where {
9.97/4.18	import qualified Prelude;
9.97/4.18	}
9.97/4.18	
9.97/4.18	----------------------------------------
9.97/4.18	
9.97/4.18	(5) Narrow (SOUND)
9.97/4.18	Haskell To QDPs
9.97/4.18	
9.97/4.18	digraph dp_graph {
9.97/4.18	node [outthreshold=100, inthreshold=100];1[label="(==)",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.97/4.18	3[label="(==) vz3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
9.97/4.18	4[label="(==) vz3 vz4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
9.97/4.18	5[label="primEqFloat vz3 vz4",fontsize=16,color="burlywood",shape="box"];505[label="vz3/Float vz30 vz31",fontsize=10,color="white",style="solid",shape="box"];5 -> 505[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	505 -> 6[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	6[label="primEqFloat (Float vz30 vz31) vz4",fontsize=16,color="burlywood",shape="box"];506[label="vz4/Float vz40 vz41",fontsize=10,color="white",style="solid",shape="box"];6 -> 506[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	506 -> 7[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	7[label="primEqFloat (Float vz30 vz31) (Float vz40 vz41)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3];
9.97/4.18	8[label="vz30 * vz41 == vz31 * vz40",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3];
9.97/4.18	9[label="primEqInt (vz30 * vz41) (vz31 * vz40)",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3];
9.97/4.18	10[label="primEqInt (primMulInt vz30 vz41) (vz31 * vz40)",fontsize=16,color="burlywood",shape="box"];507[label="vz30/Pos vz300",fontsize=10,color="white",style="solid",shape="box"];10 -> 507[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	507 -> 11[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	508[label="vz30/Neg vz300",fontsize=10,color="white",style="solid",shape="box"];10 -> 508[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	508 -> 12[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	11[label="primEqInt (primMulInt (Pos vz300) vz41) (vz31 * vz40)",fontsize=16,color="burlywood",shape="box"];509[label="vz41/Pos vz410",fontsize=10,color="white",style="solid",shape="box"];11 -> 509[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	509 -> 13[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	510[label="vz41/Neg vz410",fontsize=10,color="white",style="solid",shape="box"];11 -> 510[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	510 -> 14[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	12[label="primEqInt (primMulInt (Neg vz300) vz41) (vz31 * vz40)",fontsize=16,color="burlywood",shape="box"];511[label="vz41/Pos vz410",fontsize=10,color="white",style="solid",shape="box"];12 -> 511[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	511 -> 15[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	512[label="vz41/Neg vz410",fontsize=10,color="white",style="solid",shape="box"];12 -> 512[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	512 -> 16[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	13[label="primEqInt (primMulInt (Pos vz300) (Pos vz410)) (vz31 * vz40)",fontsize=16,color="black",shape="box"];13 -> 17[label="",style="solid", color="black", weight=3];
9.97/4.18	14[label="primEqInt (primMulInt (Pos vz300) (Neg vz410)) (vz31 * vz40)",fontsize=16,color="black",shape="box"];14 -> 18[label="",style="solid", color="black", weight=3];
9.97/4.18	15[label="primEqInt (primMulInt (Neg vz300) (Pos vz410)) (vz31 * vz40)",fontsize=16,color="black",shape="box"];15 -> 19[label="",style="solid", color="black", weight=3];
9.97/4.18	16[label="primEqInt (primMulInt (Neg vz300) (Neg vz410)) (vz31 * vz40)",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3];
9.97/4.18	17 -> 270[label="",style="dashed", color="red", weight=0];
9.97/4.18	17[label="primEqInt (Pos (primMulNat vz300 vz410)) (vz31 * vz40)",fontsize=16,color="magenta"];17 -> 271[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	18 -> 346[label="",style="dashed", color="red", weight=0];
9.97/4.18	18[label="primEqInt (Neg (primMulNat vz300 vz410)) (vz31 * vz40)",fontsize=16,color="magenta"];18 -> 347[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	19 -> 346[label="",style="dashed", color="red", weight=0];
9.97/4.18	19[label="primEqInt (Neg (primMulNat vz300 vz410)) (vz31 * vz40)",fontsize=16,color="magenta"];19 -> 348[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	20 -> 270[label="",style="dashed", color="red", weight=0];
9.97/4.18	20[label="primEqInt (Pos (primMulNat vz300 vz410)) (vz31 * vz40)",fontsize=16,color="magenta"];20 -> 272[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	271[label="primMulNat vz300 vz410",fontsize=16,color="burlywood",shape="triangle"];513[label="vz300/Succ vz3000",fontsize=10,color="white",style="solid",shape="box"];271 -> 513[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	513 -> 283[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	514[label="vz300/Zero",fontsize=10,color="white",style="solid",shape="box"];271 -> 514[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	514 -> 284[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	270[label="primEqInt (Pos vz10) (vz31 * vz40)",fontsize=16,color="burlywood",shape="triangle"];515[label="vz10/Succ vz100",fontsize=10,color="white",style="solid",shape="box"];270 -> 515[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	515 -> 285[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	516[label="vz10/Zero",fontsize=10,color="white",style="solid",shape="box"];270 -> 516[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	516 -> 286[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	347 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	347[label="primMulNat vz300 vz410",fontsize=16,color="magenta"];347 -> 359[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	346[label="primEqInt (Neg vz15) (vz31 * vz40)",fontsize=16,color="burlywood",shape="triangle"];517[label="vz15/Succ vz150",fontsize=10,color="white",style="solid",shape="box"];346 -> 517[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	517 -> 360[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	518[label="vz15/Zero",fontsize=10,color="white",style="solid",shape="box"];346 -> 518[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	518 -> 361[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	348 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	348[label="primMulNat vz300 vz410",fontsize=16,color="magenta"];348 -> 362[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	272 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	272[label="primMulNat vz300 vz410",fontsize=16,color="magenta"];272 -> 287[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	272 -> 288[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	283[label="primMulNat (Succ vz3000) vz410",fontsize=16,color="burlywood",shape="box"];519[label="vz410/Succ vz4100",fontsize=10,color="white",style="solid",shape="box"];283 -> 519[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	519 -> 303[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	520[label="vz410/Zero",fontsize=10,color="white",style="solid",shape="box"];283 -> 520[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	520 -> 304[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	284[label="primMulNat Zero vz410",fontsize=16,color="burlywood",shape="box"];521[label="vz410/Succ vz4100",fontsize=10,color="white",style="solid",shape="box"];284 -> 521[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	521 -> 305[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	522[label="vz410/Zero",fontsize=10,color="white",style="solid",shape="box"];284 -> 522[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	522 -> 306[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	285[label="primEqInt (Pos (Succ vz100)) (vz31 * vz40)",fontsize=16,color="black",shape="box"];285 -> 307[label="",style="solid", color="black", weight=3];
9.97/4.18	286[label="primEqInt (Pos Zero) (vz31 * vz40)",fontsize=16,color="black",shape="box"];286 -> 308[label="",style="solid", color="black", weight=3];
9.97/4.18	359[label="vz410",fontsize=16,color="green",shape="box"];360[label="primEqInt (Neg (Succ vz150)) (vz31 * vz40)",fontsize=16,color="black",shape="box"];360 -> 373[label="",style="solid", color="black", weight=3];
9.97/4.18	361[label="primEqInt (Neg Zero) (vz31 * vz40)",fontsize=16,color="black",shape="box"];361 -> 374[label="",style="solid", color="black", weight=3];
9.97/4.18	362[label="vz300",fontsize=16,color="green",shape="box"];287[label="vz410",fontsize=16,color="green",shape="box"];288[label="vz300",fontsize=16,color="green",shape="box"];303[label="primMulNat (Succ vz3000) (Succ vz4100)",fontsize=16,color="black",shape="box"];303 -> 319[label="",style="solid", color="black", weight=3];
9.97/4.18	304[label="primMulNat (Succ vz3000) Zero",fontsize=16,color="black",shape="box"];304 -> 320[label="",style="solid", color="black", weight=3];
9.97/4.18	305[label="primMulNat Zero (Succ vz4100)",fontsize=16,color="black",shape="box"];305 -> 321[label="",style="solid", color="black", weight=3];
9.97/4.18	306[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];306 -> 322[label="",style="solid", color="black", weight=3];
9.97/4.18	307[label="primEqInt (Pos (Succ vz100)) (primMulInt vz31 vz40)",fontsize=16,color="burlywood",shape="box"];523[label="vz31/Pos vz310",fontsize=10,color="white",style="solid",shape="box"];307 -> 523[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	523 -> 323[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	524[label="vz31/Neg vz310",fontsize=10,color="white",style="solid",shape="box"];307 -> 524[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	524 -> 324[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	308[label="primEqInt (Pos Zero) (primMulInt vz31 vz40)",fontsize=16,color="burlywood",shape="box"];525[label="vz31/Pos vz310",fontsize=10,color="white",style="solid",shape="box"];308 -> 525[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	525 -> 325[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	526[label="vz31/Neg vz310",fontsize=10,color="white",style="solid",shape="box"];308 -> 526[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	526 -> 326[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	373[label="primEqInt (Neg (Succ vz150)) (primMulInt vz31 vz40)",fontsize=16,color="burlywood",shape="box"];527[label="vz31/Pos vz310",fontsize=10,color="white",style="solid",shape="box"];373 -> 527[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	527 -> 378[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	528[label="vz31/Neg vz310",fontsize=10,color="white",style="solid",shape="box"];373 -> 528[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	528 -> 379[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	374[label="primEqInt (Neg Zero) (primMulInt vz31 vz40)",fontsize=16,color="burlywood",shape="box"];529[label="vz31/Pos vz310",fontsize=10,color="white",style="solid",shape="box"];374 -> 529[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	529 -> 380[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	530[label="vz31/Neg vz310",fontsize=10,color="white",style="solid",shape="box"];374 -> 530[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	530 -> 381[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	319 -> 332[label="",style="dashed", color="red", weight=0];
9.97/4.18	319[label="primPlusNat (primMulNat vz3000 (Succ vz4100)) (Succ vz4100)",fontsize=16,color="magenta"];319 -> 333[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	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="primEqInt (Pos (Succ vz100)) (primMulInt (Pos vz310) vz40)",fontsize=16,color="burlywood",shape="box"];531[label="vz40/Pos vz400",fontsize=10,color="white",style="solid",shape="box"];323 -> 531[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	531 -> 334[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	532[label="vz40/Neg vz400",fontsize=10,color="white",style="solid",shape="box"];323 -> 532[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	532 -> 335[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	324[label="primEqInt (Pos (Succ vz100)) (primMulInt (Neg vz310) vz40)",fontsize=16,color="burlywood",shape="box"];533[label="vz40/Pos vz400",fontsize=10,color="white",style="solid",shape="box"];324 -> 533[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	533 -> 336[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	534[label="vz40/Neg vz400",fontsize=10,color="white",style="solid",shape="box"];324 -> 534[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	534 -> 337[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	325[label="primEqInt (Pos Zero) (primMulInt (Pos vz310) vz40)",fontsize=16,color="burlywood",shape="box"];535[label="vz40/Pos vz400",fontsize=10,color="white",style="solid",shape="box"];325 -> 535[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	535 -> 338[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	536[label="vz40/Neg vz400",fontsize=10,color="white",style="solid",shape="box"];325 -> 536[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	536 -> 339[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	326[label="primEqInt (Pos Zero) (primMulInt (Neg vz310) vz40)",fontsize=16,color="burlywood",shape="box"];537[label="vz40/Pos vz400",fontsize=10,color="white",style="solid",shape="box"];326 -> 537[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	537 -> 340[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	538[label="vz40/Neg vz400",fontsize=10,color="white",style="solid",shape="box"];326 -> 538[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	538 -> 341[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	378[label="primEqInt (Neg (Succ vz150)) (primMulInt (Pos vz310) vz40)",fontsize=16,color="burlywood",shape="box"];539[label="vz40/Pos vz400",fontsize=10,color="white",style="solid",shape="box"];378 -> 539[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	539 -> 385[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	540[label="vz40/Neg vz400",fontsize=10,color="white",style="solid",shape="box"];378 -> 540[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	540 -> 386[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	379[label="primEqInt (Neg (Succ vz150)) (primMulInt (Neg vz310) vz40)",fontsize=16,color="burlywood",shape="box"];541[label="vz40/Pos vz400",fontsize=10,color="white",style="solid",shape="box"];379 -> 541[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	541 -> 387[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	542[label="vz40/Neg vz400",fontsize=10,color="white",style="solid",shape="box"];379 -> 542[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	542 -> 388[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	380[label="primEqInt (Neg Zero) (primMulInt (Pos vz310) vz40)",fontsize=16,color="burlywood",shape="box"];543[label="vz40/Pos vz400",fontsize=10,color="white",style="solid",shape="box"];380 -> 543[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	543 -> 389[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	544[label="vz40/Neg vz400",fontsize=10,color="white",style="solid",shape="box"];380 -> 544[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	544 -> 390[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	381[label="primEqInt (Neg Zero) (primMulInt (Neg vz310) vz40)",fontsize=16,color="burlywood",shape="box"];545[label="vz40/Pos vz400",fontsize=10,color="white",style="solid",shape="box"];381 -> 545[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	545 -> 391[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	546[label="vz40/Neg vz400",fontsize=10,color="white",style="solid",shape="box"];381 -> 546[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	546 -> 392[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	333 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	333[label="primMulNat vz3000 (Succ vz4100)",fontsize=16,color="magenta"];333 -> 342[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	333 -> 343[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	332[label="primPlusNat vz14 (Succ vz4100)",fontsize=16,color="burlywood",shape="triangle"];547[label="vz14/Succ vz140",fontsize=10,color="white",style="solid",shape="box"];332 -> 547[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	547 -> 344[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	548[label="vz14/Zero",fontsize=10,color="white",style="solid",shape="box"];332 -> 548[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	548 -> 345[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	334[label="primEqInt (Pos (Succ vz100)) (primMulInt (Pos vz310) (Pos vz400))",fontsize=16,color="black",shape="box"];334 -> 363[label="",style="solid", color="black", weight=3];
9.97/4.18	335[label="primEqInt (Pos (Succ vz100)) (primMulInt (Pos vz310) (Neg vz400))",fontsize=16,color="black",shape="box"];335 -> 364[label="",style="solid", color="black", weight=3];
9.97/4.18	336[label="primEqInt (Pos (Succ vz100)) (primMulInt (Neg vz310) (Pos vz400))",fontsize=16,color="black",shape="box"];336 -> 365[label="",style="solid", color="black", weight=3];
9.97/4.18	337[label="primEqInt (Pos (Succ vz100)) (primMulInt (Neg vz310) (Neg vz400))",fontsize=16,color="black",shape="box"];337 -> 366[label="",style="solid", color="black", weight=3];
9.97/4.18	338[label="primEqInt (Pos Zero) (primMulInt (Pos vz310) (Pos vz400))",fontsize=16,color="black",shape="box"];338 -> 367[label="",style="solid", color="black", weight=3];
9.97/4.18	339[label="primEqInt (Pos Zero) (primMulInt (Pos vz310) (Neg vz400))",fontsize=16,color="black",shape="box"];339 -> 368[label="",style="solid", color="black", weight=3];
9.97/4.18	340[label="primEqInt (Pos Zero) (primMulInt (Neg vz310) (Pos vz400))",fontsize=16,color="black",shape="box"];340 -> 369[label="",style="solid", color="black", weight=3];
9.97/4.18	341[label="primEqInt (Pos Zero) (primMulInt (Neg vz310) (Neg vz400))",fontsize=16,color="black",shape="box"];341 -> 370[label="",style="solid", color="black", weight=3];
9.97/4.18	385[label="primEqInt (Neg (Succ vz150)) (primMulInt (Pos vz310) (Pos vz400))",fontsize=16,color="black",shape="box"];385 -> 396[label="",style="solid", color="black", weight=3];
9.97/4.18	386[label="primEqInt (Neg (Succ vz150)) (primMulInt (Pos vz310) (Neg vz400))",fontsize=16,color="black",shape="box"];386 -> 397[label="",style="solid", color="black", weight=3];
9.97/4.18	387[label="primEqInt (Neg (Succ vz150)) (primMulInt (Neg vz310) (Pos vz400))",fontsize=16,color="black",shape="box"];387 -> 398[label="",style="solid", color="black", weight=3];
9.97/4.18	388[label="primEqInt (Neg (Succ vz150)) (primMulInt (Neg vz310) (Neg vz400))",fontsize=16,color="black",shape="box"];388 -> 399[label="",style="solid", color="black", weight=3];
9.97/4.18	389[label="primEqInt (Neg Zero) (primMulInt (Pos vz310) (Pos vz400))",fontsize=16,color="black",shape="box"];389 -> 400[label="",style="solid", color="black", weight=3];
9.97/4.18	390[label="primEqInt (Neg Zero) (primMulInt (Pos vz310) (Neg vz400))",fontsize=16,color="black",shape="box"];390 -> 401[label="",style="solid", color="black", weight=3];
9.97/4.18	391[label="primEqInt (Neg Zero) (primMulInt (Neg vz310) (Pos vz400))",fontsize=16,color="black",shape="box"];391 -> 402[label="",style="solid", color="black", weight=3];
9.97/4.18	392[label="primEqInt (Neg Zero) (primMulInt (Neg vz310) (Neg vz400))",fontsize=16,color="black",shape="box"];392 -> 403[label="",style="solid", color="black", weight=3];
9.97/4.18	342[label="Succ vz4100",fontsize=16,color="green",shape="box"];343[label="vz3000",fontsize=16,color="green",shape="box"];344[label="primPlusNat (Succ vz140) (Succ vz4100)",fontsize=16,color="black",shape="box"];344 -> 371[label="",style="solid", color="black", weight=3];
9.97/4.18	345[label="primPlusNat Zero (Succ vz4100)",fontsize=16,color="black",shape="box"];345 -> 372[label="",style="solid", color="black", weight=3];
9.97/4.18	363 -> 375[label="",style="dashed", color="red", weight=0];
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9.97/4.18	364 -> 382[label="",style="dashed", color="red", weight=0];
9.97/4.18	364[label="primEqInt (Pos (Succ vz100)) (Neg (primMulNat vz310 vz400))",fontsize=16,color="magenta"];364 -> 383[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	365 -> 382[label="",style="dashed", color="red", weight=0];
9.97/4.18	365[label="primEqInt (Pos (Succ vz100)) (Neg (primMulNat vz310 vz400))",fontsize=16,color="magenta"];365 -> 384[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	366 -> 375[label="",style="dashed", color="red", weight=0];
9.97/4.18	366[label="primEqInt (Pos (Succ vz100)) (Pos (primMulNat vz310 vz400))",fontsize=16,color="magenta"];366 -> 377[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	367 -> 393[label="",style="dashed", color="red", weight=0];
9.97/4.18	367[label="primEqInt (Pos Zero) (Pos (primMulNat vz310 vz400))",fontsize=16,color="magenta"];367 -> 394[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	368 -> 404[label="",style="dashed", color="red", weight=0];
9.97/4.18	368[label="primEqInt (Pos Zero) (Neg (primMulNat vz310 vz400))",fontsize=16,color="magenta"];368 -> 405[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	369 -> 404[label="",style="dashed", color="red", weight=0];
9.97/4.18	369[label="primEqInt (Pos Zero) (Neg (primMulNat vz310 vz400))",fontsize=16,color="magenta"];369 -> 406[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	370 -> 393[label="",style="dashed", color="red", weight=0];
9.97/4.18	370[label="primEqInt (Pos Zero) (Pos (primMulNat vz310 vz400))",fontsize=16,color="magenta"];370 -> 395[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	396 -> 407[label="",style="dashed", color="red", weight=0];
9.97/4.18	396[label="primEqInt (Neg (Succ vz150)) (Pos (primMulNat vz310 vz400))",fontsize=16,color="magenta"];396 -> 408[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	397 -> 410[label="",style="dashed", color="red", weight=0];
9.97/4.18	397[label="primEqInt (Neg (Succ vz150)) (Neg (primMulNat vz310 vz400))",fontsize=16,color="magenta"];397 -> 411[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	398 -> 410[label="",style="dashed", color="red", weight=0];
9.97/4.18	398[label="primEqInt (Neg (Succ vz150)) (Neg (primMulNat vz310 vz400))",fontsize=16,color="magenta"];398 -> 412[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	399 -> 407[label="",style="dashed", color="red", weight=0];
9.97/4.18	399[label="primEqInt (Neg (Succ vz150)) (Pos (primMulNat vz310 vz400))",fontsize=16,color="magenta"];399 -> 409[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	400 -> 413[label="",style="dashed", color="red", weight=0];
9.97/4.18	400[label="primEqInt (Neg Zero) (Pos (primMulNat vz310 vz400))",fontsize=16,color="magenta"];400 -> 414[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	401 -> 416[label="",style="dashed", color="red", weight=0];
9.97/4.18	401[label="primEqInt (Neg Zero) (Neg (primMulNat vz310 vz400))",fontsize=16,color="magenta"];401 -> 417[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	402 -> 416[label="",style="dashed", color="red", weight=0];
9.97/4.18	402[label="primEqInt (Neg Zero) (Neg (primMulNat vz310 vz400))",fontsize=16,color="magenta"];402 -> 418[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	403 -> 413[label="",style="dashed", color="red", weight=0];
9.97/4.18	403[label="primEqInt (Neg Zero) (Pos (primMulNat vz310 vz400))",fontsize=16,color="magenta"];403 -> 415[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	371[label="Succ (Succ (primPlusNat vz140 vz4100))",fontsize=16,color="green",shape="box"];371 -> 419[label="",style="dashed", color="green", weight=3];
9.97/4.18	372[label="Succ vz4100",fontsize=16,color="green",shape="box"];376 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	376[label="primMulNat vz310 vz400",fontsize=16,color="magenta"];376 -> 420[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	376 -> 421[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	375[label="primEqInt (Pos (Succ vz100)) (Pos vz16)",fontsize=16,color="burlywood",shape="triangle"];549[label="vz16/Succ vz160",fontsize=10,color="white",style="solid",shape="box"];375 -> 549[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	549 -> 422[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	550[label="vz16/Zero",fontsize=10,color="white",style="solid",shape="box"];375 -> 550[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	550 -> 423[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	383 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	383[label="primMulNat vz310 vz400",fontsize=16,color="magenta"];383 -> 424[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	383 -> 425[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	382[label="primEqInt (Pos (Succ vz100)) (Neg vz17)",fontsize=16,color="black",shape="triangle"];382 -> 426[label="",style="solid", color="black", weight=3];
9.97/4.18	384 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	384[label="primMulNat vz310 vz400",fontsize=16,color="magenta"];384 -> 427[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	384 -> 428[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	377 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	377[label="primMulNat vz310 vz400",fontsize=16,color="magenta"];377 -> 429[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	377 -> 430[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	394 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	394[label="primMulNat vz310 vz400",fontsize=16,color="magenta"];394 -> 431[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	394 -> 432[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	393[label="primEqInt (Pos Zero) (Pos vz18)",fontsize=16,color="burlywood",shape="triangle"];551[label="vz18/Succ vz180",fontsize=10,color="white",style="solid",shape="box"];393 -> 551[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	551 -> 433[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	552[label="vz18/Zero",fontsize=10,color="white",style="solid",shape="box"];393 -> 552[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	552 -> 434[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	405 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	405[label="primMulNat vz310 vz400",fontsize=16,color="magenta"];405 -> 435[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	405 -> 436[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	404[label="primEqInt (Pos Zero) (Neg vz19)",fontsize=16,color="burlywood",shape="triangle"];553[label="vz19/Succ vz190",fontsize=10,color="white",style="solid",shape="box"];404 -> 553[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	553 -> 437[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	554[label="vz19/Zero",fontsize=10,color="white",style="solid",shape="box"];404 -> 554[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	554 -> 438[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	406 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	406[label="primMulNat vz310 vz400",fontsize=16,color="magenta"];406 -> 439[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	406 -> 440[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	395 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	395[label="primMulNat vz310 vz400",fontsize=16,color="magenta"];395 -> 441[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	395 -> 442[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	408 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	408[label="primMulNat vz310 vz400",fontsize=16,color="magenta"];408 -> 443[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	408 -> 444[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	407[label="primEqInt (Neg (Succ vz150)) (Pos vz20)",fontsize=16,color="black",shape="triangle"];407 -> 445[label="",style="solid", color="black", weight=3];
9.97/4.18	411 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	411[label="primMulNat vz310 vz400",fontsize=16,color="magenta"];411 -> 446[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	411 -> 447[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	410[label="primEqInt (Neg (Succ vz150)) (Neg vz21)",fontsize=16,color="burlywood",shape="triangle"];555[label="vz21/Succ vz210",fontsize=10,color="white",style="solid",shape="box"];410 -> 555[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	555 -> 448[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	556[label="vz21/Zero",fontsize=10,color="white",style="solid",shape="box"];410 -> 556[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	556 -> 449[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	412 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	412[label="primMulNat vz310 vz400",fontsize=16,color="magenta"];412 -> 450[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	412 -> 451[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	409 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	409[label="primMulNat vz310 vz400",fontsize=16,color="magenta"];409 -> 452[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	409 -> 453[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	414 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	414[label="primMulNat vz310 vz400",fontsize=16,color="magenta"];414 -> 454[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	414 -> 455[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	413[label="primEqInt (Neg Zero) (Pos vz22)",fontsize=16,color="burlywood",shape="triangle"];557[label="vz22/Succ vz220",fontsize=10,color="white",style="solid",shape="box"];413 -> 557[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	557 -> 456[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	558[label="vz22/Zero",fontsize=10,color="white",style="solid",shape="box"];413 -> 558[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	558 -> 457[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	417 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	417[label="primMulNat vz310 vz400",fontsize=16,color="magenta"];417 -> 458[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	417 -> 459[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	416[label="primEqInt (Neg Zero) (Neg vz23)",fontsize=16,color="burlywood",shape="triangle"];559[label="vz23/Succ vz230",fontsize=10,color="white",style="solid",shape="box"];416 -> 559[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	559 -> 460[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	560[label="vz23/Zero",fontsize=10,color="white",style="solid",shape="box"];416 -> 560[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	560 -> 461[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	418 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	418[label="primMulNat vz310 vz400",fontsize=16,color="magenta"];418 -> 462[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	418 -> 463[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	415 -> 271[label="",style="dashed", color="red", weight=0];
9.97/4.18	415[label="primMulNat vz310 vz400",fontsize=16,color="magenta"];415 -> 464[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	415 -> 465[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	419[label="primPlusNat vz140 vz4100",fontsize=16,color="burlywood",shape="triangle"];561[label="vz140/Succ vz1400",fontsize=10,color="white",style="solid",shape="box"];419 -> 561[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	561 -> 466[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	562[label="vz140/Zero",fontsize=10,color="white",style="solid",shape="box"];419 -> 562[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	562 -> 467[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	420[label="vz400",fontsize=16,color="green",shape="box"];421[label="vz310",fontsize=16,color="green",shape="box"];422[label="primEqInt (Pos (Succ vz100)) (Pos (Succ vz160))",fontsize=16,color="black",shape="box"];422 -> 468[label="",style="solid", color="black", weight=3];
9.97/4.18	423[label="primEqInt (Pos (Succ vz100)) (Pos Zero)",fontsize=16,color="black",shape="box"];423 -> 469[label="",style="solid", color="black", weight=3];
9.97/4.18	424[label="vz400",fontsize=16,color="green",shape="box"];425[label="vz310",fontsize=16,color="green",shape="box"];426[label="False",fontsize=16,color="green",shape="box"];427[label="vz400",fontsize=16,color="green",shape="box"];428[label="vz310",fontsize=16,color="green",shape="box"];429[label="vz400",fontsize=16,color="green",shape="box"];430[label="vz310",fontsize=16,color="green",shape="box"];431[label="vz400",fontsize=16,color="green",shape="box"];432[label="vz310",fontsize=16,color="green",shape="box"];433[label="primEqInt (Pos Zero) (Pos (Succ vz180))",fontsize=16,color="black",shape="box"];433 -> 470[label="",style="solid", color="black", weight=3];
9.97/4.18	434[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];434 -> 471[label="",style="solid", color="black", weight=3];
9.97/4.18	435[label="vz400",fontsize=16,color="green",shape="box"];436[label="vz310",fontsize=16,color="green",shape="box"];437[label="primEqInt (Pos Zero) (Neg (Succ vz190))",fontsize=16,color="black",shape="box"];437 -> 472[label="",style="solid", color="black", weight=3];
9.97/4.18	438[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];438 -> 473[label="",style="solid", color="black", weight=3];
9.97/4.18	439[label="vz400",fontsize=16,color="green",shape="box"];440[label="vz310",fontsize=16,color="green",shape="box"];441[label="vz400",fontsize=16,color="green",shape="box"];442[label="vz310",fontsize=16,color="green",shape="box"];443[label="vz400",fontsize=16,color="green",shape="box"];444[label="vz310",fontsize=16,color="green",shape="box"];445[label="False",fontsize=16,color="green",shape="box"];446[label="vz400",fontsize=16,color="green",shape="box"];447[label="vz310",fontsize=16,color="green",shape="box"];448[label="primEqInt (Neg (Succ vz150)) (Neg (Succ vz210))",fontsize=16,color="black",shape="box"];448 -> 474[label="",style="solid", color="black", weight=3];
9.97/4.18	449[label="primEqInt (Neg (Succ vz150)) (Neg Zero)",fontsize=16,color="black",shape="box"];449 -> 475[label="",style="solid", color="black", weight=3];
9.97/4.18	450[label="vz400",fontsize=16,color="green",shape="box"];451[label="vz310",fontsize=16,color="green",shape="box"];452[label="vz400",fontsize=16,color="green",shape="box"];453[label="vz310",fontsize=16,color="green",shape="box"];454[label="vz400",fontsize=16,color="green",shape="box"];455[label="vz310",fontsize=16,color="green",shape="box"];456[label="primEqInt (Neg Zero) (Pos (Succ vz220))",fontsize=16,color="black",shape="box"];456 -> 476[label="",style="solid", color="black", weight=3];
9.97/4.18	457[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];457 -> 477[label="",style="solid", color="black", weight=3];
9.97/4.18	458[label="vz400",fontsize=16,color="green",shape="box"];459[label="vz310",fontsize=16,color="green",shape="box"];460[label="primEqInt (Neg Zero) (Neg (Succ vz230))",fontsize=16,color="black",shape="box"];460 -> 478[label="",style="solid", color="black", weight=3];
9.97/4.18	461[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];461 -> 479[label="",style="solid", color="black", weight=3];
9.97/4.18	462[label="vz400",fontsize=16,color="green",shape="box"];463[label="vz310",fontsize=16,color="green",shape="box"];464[label="vz400",fontsize=16,color="green",shape="box"];465[label="vz310",fontsize=16,color="green",shape="box"];466[label="primPlusNat (Succ vz1400) vz4100",fontsize=16,color="burlywood",shape="box"];563[label="vz4100/Succ vz41000",fontsize=10,color="white",style="solid",shape="box"];466 -> 563[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	563 -> 480[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	564[label="vz4100/Zero",fontsize=10,color="white",style="solid",shape="box"];466 -> 564[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	564 -> 481[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	467[label="primPlusNat Zero vz4100",fontsize=16,color="burlywood",shape="box"];565[label="vz4100/Succ vz41000",fontsize=10,color="white",style="solid",shape="box"];467 -> 565[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	565 -> 482[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	566[label="vz4100/Zero",fontsize=10,color="white",style="solid",shape="box"];467 -> 566[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	566 -> 483[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	468[label="primEqNat vz100 vz160",fontsize=16,color="burlywood",shape="triangle"];567[label="vz100/Succ vz1000",fontsize=10,color="white",style="solid",shape="box"];468 -> 567[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	567 -> 484[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	568[label="vz100/Zero",fontsize=10,color="white",style="solid",shape="box"];468 -> 568[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	568 -> 485[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	469[label="False",fontsize=16,color="green",shape="box"];470[label="False",fontsize=16,color="green",shape="box"];471[label="True",fontsize=16,color="green",shape="box"];472[label="False",fontsize=16,color="green",shape="box"];473[label="True",fontsize=16,color="green",shape="box"];474 -> 468[label="",style="dashed", color="red", weight=0];
9.97/4.18	474[label="primEqNat vz150 vz210",fontsize=16,color="magenta"];474 -> 486[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	474 -> 487[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	475[label="False",fontsize=16,color="green",shape="box"];476[label="False",fontsize=16,color="green",shape="box"];477[label="True",fontsize=16,color="green",shape="box"];478[label="False",fontsize=16,color="green",shape="box"];479[label="True",fontsize=16,color="green",shape="box"];480[label="primPlusNat (Succ vz1400) (Succ vz41000)",fontsize=16,color="black",shape="box"];480 -> 488[label="",style="solid", color="black", weight=3];
9.97/4.18	481[label="primPlusNat (Succ vz1400) Zero",fontsize=16,color="black",shape="box"];481 -> 489[label="",style="solid", color="black", weight=3];
9.97/4.18	482[label="primPlusNat Zero (Succ vz41000)",fontsize=16,color="black",shape="box"];482 -> 490[label="",style="solid", color="black", weight=3];
9.97/4.18	483[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];483 -> 491[label="",style="solid", color="black", weight=3];
9.97/4.18	484[label="primEqNat (Succ vz1000) vz160",fontsize=16,color="burlywood",shape="box"];569[label="vz160/Succ vz1600",fontsize=10,color="white",style="solid",shape="box"];484 -> 569[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	569 -> 492[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	570[label="vz160/Zero",fontsize=10,color="white",style="solid",shape="box"];484 -> 570[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	570 -> 493[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	485[label="primEqNat Zero vz160",fontsize=16,color="burlywood",shape="box"];571[label="vz160/Succ vz1600",fontsize=10,color="white",style="solid",shape="box"];485 -> 571[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	571 -> 494[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	572[label="vz160/Zero",fontsize=10,color="white",style="solid",shape="box"];485 -> 572[label="",style="solid", color="burlywood", weight=9];
9.97/4.18	572 -> 495[label="",style="solid", color="burlywood", weight=3];
9.97/4.18	486[label="vz210",fontsize=16,color="green",shape="box"];487[label="vz150",fontsize=16,color="green",shape="box"];488[label="Succ (Succ (primPlusNat vz1400 vz41000))",fontsize=16,color="green",shape="box"];488 -> 496[label="",style="dashed", color="green", weight=3];
9.97/4.18	489[label="Succ vz1400",fontsize=16,color="green",shape="box"];490[label="Succ vz41000",fontsize=16,color="green",shape="box"];491[label="Zero",fontsize=16,color="green",shape="box"];492[label="primEqNat (Succ vz1000) (Succ vz1600)",fontsize=16,color="black",shape="box"];492 -> 497[label="",style="solid", color="black", weight=3];
9.97/4.18	493[label="primEqNat (Succ vz1000) Zero",fontsize=16,color="black",shape="box"];493 -> 498[label="",style="solid", color="black", weight=3];
9.97/4.18	494[label="primEqNat Zero (Succ vz1600)",fontsize=16,color="black",shape="box"];494 -> 499[label="",style="solid", color="black", weight=3];
9.97/4.18	495[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];495 -> 500[label="",style="solid", color="black", weight=3];
9.97/4.18	496 -> 419[label="",style="dashed", color="red", weight=0];
9.97/4.18	496[label="primPlusNat vz1400 vz41000",fontsize=16,color="magenta"];496 -> 501[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	496 -> 502[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	497 -> 468[label="",style="dashed", color="red", weight=0];
9.97/4.18	497[label="primEqNat vz1000 vz1600",fontsize=16,color="magenta"];497 -> 503[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	497 -> 504[label="",style="dashed", color="magenta", weight=3];
9.97/4.18	498[label="False",fontsize=16,color="green",shape="box"];499[label="False",fontsize=16,color="green",shape="box"];500[label="True",fontsize=16,color="green",shape="box"];501[label="vz1400",fontsize=16,color="green",shape="box"];502[label="vz41000",fontsize=16,color="green",shape="box"];503[label="vz1600",fontsize=16,color="green",shape="box"];504[label="vz1000",fontsize=16,color="green",shape="box"];}
9.97/4.18	
9.97/4.18	----------------------------------------
9.97/4.18	
9.97/4.18	(6)
9.97/4.18	Complex Obligation (AND)
9.97/4.18	
9.97/4.18	----------------------------------------
9.97/4.18	
9.97/4.18	(7)
9.97/4.18	Obligation:
9.97/4.18	Q DP problem:
9.97/4.18	The TRS P consists of the following rules:
9.97/4.18	
9.97/4.18	   new_primMulNat(Succ(vz3000), Succ(vz4100)) -> new_primMulNat(vz3000, Succ(vz4100))
9.97/4.18	
9.97/4.18	R is empty.
9.97/4.18	Q is empty.
9.97/4.18	We have to consider all minimal (P,Q,R)-chains.
9.97/4.18	----------------------------------------
9.97/4.18	
9.97/4.18	(8) QDPSizeChangeProof (EQUIVALENT)
9.97/4.18	By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 
9.97/4.18	
9.97/4.18	From the DPs we obtained the following set of size-change graphs:
9.97/4.18	*new_primMulNat(Succ(vz3000), Succ(vz4100)) -> new_primMulNat(vz3000, Succ(vz4100))
9.97/4.18	The graph contains the following edges 1 > 1, 2 >= 2
9.97/4.18	
9.97/4.18	
9.97/4.18	----------------------------------------
9.97/4.18	
9.97/4.18	(9)
9.97/4.18	YES
9.97/4.18	
9.97/4.18	----------------------------------------
9.97/4.18	
9.97/4.18	(10)
9.97/4.18	Obligation:
9.97/4.18	Q DP problem:
9.97/4.18	The TRS P consists of the following rules:
9.97/4.18	
9.97/4.18	   new_primPlusNat(Succ(vz1400), Succ(vz41000)) -> new_primPlusNat(vz1400, vz41000)
9.97/4.18	
9.97/4.18	R is empty.
9.97/4.18	Q is empty.
9.97/4.18	We have to consider all minimal (P,Q,R)-chains.
9.97/4.18	----------------------------------------
9.97/4.18	
9.97/4.18	(11) QDPSizeChangeProof (EQUIVALENT)
9.97/4.18	By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 
9.97/4.18	
9.97/4.18	From the DPs we obtained the following set of size-change graphs:
9.97/4.18	*new_primPlusNat(Succ(vz1400), Succ(vz41000)) -> new_primPlusNat(vz1400, vz41000)
9.97/4.18	The graph contains the following edges 1 > 1, 2 > 2
9.97/4.18	
9.97/4.18	
9.97/4.18	----------------------------------------
9.97/4.18	
9.97/4.18	(12)
9.97/4.18	YES
9.97/4.18	
9.97/4.18	----------------------------------------
9.97/4.18	
9.97/4.18	(13)
9.97/4.18	Obligation:
9.97/4.18	Q DP problem:
9.97/4.18	The TRS P consists of the following rules:
9.97/4.18	
9.97/4.18	   new_primEqNat(Succ(vz1000), Succ(vz1600)) -> new_primEqNat(vz1000, vz1600)
9.97/4.18	
9.97/4.18	R is empty.
9.97/4.18	Q is empty.
9.97/4.18	We have to consider all minimal (P,Q,R)-chains.
9.97/4.18	----------------------------------------
9.97/4.18	
9.97/4.18	(14) QDPSizeChangeProof (EQUIVALENT)
9.97/4.18	By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 
9.97/4.18	
9.97/4.18	From the DPs we obtained the following set of size-change graphs:
9.97/4.18	*new_primEqNat(Succ(vz1000), Succ(vz1600)) -> new_primEqNat(vz1000, vz1600)
9.97/4.18	The graph contains the following edges 1 > 1, 2 > 2
9.97/4.18	
9.97/4.18	
9.97/4.18	----------------------------------------
9.97/4.18	
9.97/4.18	(15)
9.97/4.18	YES
9.97/4.23	EOF