8.17/3.71	YES
9.92/4.14	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.92/4.14	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.92/4.14	
9.92/4.14	
9.92/4.14	H-Termination with start terms of the given HASKELL could be proven:
9.92/4.14	
9.92/4.14	(0) HASKELL
9.92/4.14	(1) BR [EQUIVALENT, 0 ms]
9.92/4.14	(2) HASKELL
9.92/4.14	(3) COR [EQUIVALENT, 0 ms]
9.92/4.14	(4) HASKELL
9.92/4.14	(5) Narrow [SOUND, 0 ms]
9.92/4.14	(6) AND
9.92/4.14	    (7) QDP
9.92/4.14	        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.92/4.14	        (9) YES
9.92/4.14	    (10) QDP
9.92/4.14	        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.92/4.14	        (12) YES
9.92/4.14	    (13) QDP
9.92/4.14	        (14) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.92/4.14	        (15) YES
9.92/4.14	
9.92/4.14	
9.92/4.14	----------------------------------------
9.92/4.14	
9.92/4.14	(0)
9.92/4.14	Obligation:
9.92/4.14	mainModule Main 
9.92/4.14	module Main where {
9.92/4.14	import qualified Prelude;
9.92/4.14	}
9.92/4.14	
9.92/4.14	----------------------------------------
9.92/4.14	
9.92/4.14	(1) BR (EQUIVALENT)
9.92/4.14	Replaced joker patterns by fresh variables and removed binding patterns.
9.92/4.14	----------------------------------------
9.92/4.14	
9.92/4.14	(2)
9.92/4.14	Obligation:
9.92/4.14	mainModule Main 
9.92/4.14	module Main where {
9.92/4.14	import qualified Prelude;
9.92/4.14	}
9.92/4.14	
9.92/4.14	----------------------------------------
9.92/4.14	
9.92/4.14	(3) COR (EQUIVALENT)
9.92/4.14	Cond Reductions:
9.92/4.14	The following Function with conditions
9.92/4.14	"undefined |Falseundefined;
9.92/4.14	"
9.92/4.14	is transformed to
9.92/4.14	"undefined  = undefined1;
9.92/4.14	"
9.92/4.14	"undefined0 True = undefined;
9.92/4.14	"
9.92/4.14	"undefined1  = undefined0 False;
9.92/4.14	"
9.92/4.14	
9.92/4.14	----------------------------------------
9.92/4.14	
9.92/4.14	(4)
9.92/4.14	Obligation:
9.92/4.14	mainModule Main 
9.92/4.14	module Main where {
9.92/4.14	import qualified Prelude;
9.92/4.14	}
9.92/4.14	
9.92/4.14	----------------------------------------
9.92/4.14	
9.92/4.14	(5) Narrow (SOUND)
9.92/4.14	Haskell To QDPs
9.92/4.14	
9.92/4.14	digraph dp_graph {
9.92/4.14	node [outthreshold=100, inthreshold=100];1[label="compare",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.92/4.14	3[label="compare vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
9.92/4.14	4[label="compare vx3 vx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3];
9.92/4.14	5[label="primCmpFloat vx3 vx4",fontsize=16,color="burlywood",shape="box"];692[label="vx3/Float vx30 vx31",fontsize=10,color="white",style="solid",shape="box"];5 -> 692[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	692 -> 6[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	6[label="primCmpFloat (Float vx30 vx31) vx4",fontsize=16,color="burlywood",shape="box"];693[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];6 -> 693[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	693 -> 7[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	694[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];6 -> 694[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	694 -> 8[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	7[label="primCmpFloat (Float vx30 (Pos vx310)) vx4",fontsize=16,color="burlywood",shape="box"];695[label="vx4/Float vx40 vx41",fontsize=10,color="white",style="solid",shape="box"];7 -> 695[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	695 -> 9[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	8[label="primCmpFloat (Float vx30 (Neg vx310)) vx4",fontsize=16,color="burlywood",shape="box"];696[label="vx4/Float vx40 vx41",fontsize=10,color="white",style="solid",shape="box"];8 -> 696[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	696 -> 10[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	9[label="primCmpFloat (Float vx30 (Pos vx310)) (Float vx40 vx41)",fontsize=16,color="burlywood",shape="box"];697[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];9 -> 697[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	697 -> 11[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	698[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];9 -> 698[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	698 -> 12[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	10[label="primCmpFloat (Float vx30 (Neg vx310)) (Float vx40 vx41)",fontsize=16,color="burlywood",shape="box"];699[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];10 -> 699[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	699 -> 13[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	700[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];10 -> 700[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	700 -> 14[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	11[label="primCmpFloat (Float vx30 (Pos vx310)) (Float vx40 (Pos vx410))",fontsize=16,color="black",shape="box"];11 -> 15[label="",style="solid", color="black", weight=3];
9.92/4.14	12[label="primCmpFloat (Float vx30 (Pos vx310)) (Float vx40 (Neg vx410))",fontsize=16,color="black",shape="box"];12 -> 16[label="",style="solid", color="black", weight=3];
9.92/4.14	13[label="primCmpFloat (Float vx30 (Neg vx310)) (Float vx40 (Pos vx410))",fontsize=16,color="black",shape="box"];13 -> 17[label="",style="solid", color="black", weight=3];
9.92/4.14	14[label="primCmpFloat (Float vx30 (Neg vx310)) (Float vx40 (Neg vx410))",fontsize=16,color="black",shape="box"];14 -> 18[label="",style="solid", color="black", weight=3];
9.92/4.14	15[label="compare (vx30 * Pos vx410) (Pos vx310 * vx40)",fontsize=16,color="black",shape="box"];15 -> 19[label="",style="solid", color="black", weight=3];
9.92/4.14	16[label="compare (vx30 * Pos vx410) (Neg vx310 * vx40)",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3];
9.92/4.14	17[label="compare (vx30 * Neg vx410) (Pos vx310 * vx40)",fontsize=16,color="black",shape="box"];17 -> 21[label="",style="solid", color="black", weight=3];
9.92/4.14	18[label="compare (vx30 * Neg vx410) (Neg vx310 * vx40)",fontsize=16,color="black",shape="box"];18 -> 22[label="",style="solid", color="black", weight=3];
9.92/4.14	19[label="primCmpInt (vx30 * Pos vx410) (Pos vx310 * vx40)",fontsize=16,color="black",shape="box"];19 -> 23[label="",style="solid", color="black", weight=3];
9.92/4.14	20[label="primCmpInt (vx30 * Pos vx410) (Neg vx310 * vx40)",fontsize=16,color="black",shape="box"];20 -> 24[label="",style="solid", color="black", weight=3];
9.92/4.14	21[label="primCmpInt (vx30 * Neg vx410) (Pos vx310 * vx40)",fontsize=16,color="black",shape="box"];21 -> 25[label="",style="solid", color="black", weight=3];
9.92/4.14	22[label="primCmpInt (vx30 * Neg vx410) (Neg vx310 * vx40)",fontsize=16,color="black",shape="box"];22 -> 26[label="",style="solid", color="black", weight=3];
9.92/4.14	23[label="primCmpInt (primMulInt vx30 (Pos vx410)) (Pos vx310 * vx40)",fontsize=16,color="burlywood",shape="box"];701[label="vx30/Pos vx300",fontsize=10,color="white",style="solid",shape="box"];23 -> 701[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	701 -> 27[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	702[label="vx30/Neg vx300",fontsize=10,color="white",style="solid",shape="box"];23 -> 702[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	702 -> 28[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	24[label="primCmpInt (primMulInt vx30 (Pos vx410)) (Neg vx310 * vx40)",fontsize=16,color="burlywood",shape="box"];703[label="vx30/Pos vx300",fontsize=10,color="white",style="solid",shape="box"];24 -> 703[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	703 -> 29[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	704[label="vx30/Neg vx300",fontsize=10,color="white",style="solid",shape="box"];24 -> 704[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	704 -> 30[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	25[label="primCmpInt (primMulInt vx30 (Neg vx410)) (Pos vx310 * vx40)",fontsize=16,color="burlywood",shape="box"];705[label="vx30/Pos vx300",fontsize=10,color="white",style="solid",shape="box"];25 -> 705[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	705 -> 31[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	706[label="vx30/Neg vx300",fontsize=10,color="white",style="solid",shape="box"];25 -> 706[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	706 -> 32[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	26[label="primCmpInt (primMulInt vx30 (Neg vx410)) (Neg vx310 * vx40)",fontsize=16,color="burlywood",shape="box"];707[label="vx30/Pos vx300",fontsize=10,color="white",style="solid",shape="box"];26 -> 707[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	707 -> 33[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	708[label="vx30/Neg vx300",fontsize=10,color="white",style="solid",shape="box"];26 -> 708[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	708 -> 34[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	27[label="primCmpInt (primMulInt (Pos vx300) (Pos vx410)) (Pos vx310 * vx40)",fontsize=16,color="black",shape="box"];27 -> 35[label="",style="solid", color="black", weight=3];
9.92/4.14	28[label="primCmpInt (primMulInt (Neg vx300) (Pos vx410)) (Pos vx310 * vx40)",fontsize=16,color="black",shape="box"];28 -> 36[label="",style="solid", color="black", weight=3];
9.92/4.14	29[label="primCmpInt (primMulInt (Pos vx300) (Pos vx410)) (Neg vx310 * vx40)",fontsize=16,color="black",shape="box"];29 -> 37[label="",style="solid", color="black", weight=3];
9.92/4.14	30[label="primCmpInt (primMulInt (Neg vx300) (Pos vx410)) (Neg vx310 * vx40)",fontsize=16,color="black",shape="box"];30 -> 38[label="",style="solid", color="black", weight=3];
9.92/4.14	31[label="primCmpInt (primMulInt (Pos vx300) (Neg vx410)) (Pos vx310 * vx40)",fontsize=16,color="black",shape="box"];31 -> 39[label="",style="solid", color="black", weight=3];
9.92/4.14	32[label="primCmpInt (primMulInt (Neg vx300) (Neg vx410)) (Pos vx310 * vx40)",fontsize=16,color="black",shape="box"];32 -> 40[label="",style="solid", color="black", weight=3];
9.92/4.14	33[label="primCmpInt (primMulInt (Pos vx300) (Neg vx410)) (Neg vx310 * vx40)",fontsize=16,color="black",shape="box"];33 -> 41[label="",style="solid", color="black", weight=3];
9.92/4.14	34[label="primCmpInt (primMulInt (Neg vx300) (Neg vx410)) (Neg vx310 * vx40)",fontsize=16,color="black",shape="box"];34 -> 42[label="",style="solid", color="black", weight=3];
9.92/4.14	35 -> 428[label="",style="dashed", color="red", weight=0];
9.92/4.14	35[label="primCmpInt (Pos (primMulNat vx300 vx410)) (Pos vx310 * vx40)",fontsize=16,color="magenta"];35 -> 429[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	36 -> 447[label="",style="dashed", color="red", weight=0];
9.92/4.14	36[label="primCmpInt (Neg (primMulNat vx300 vx410)) (Pos vx310 * vx40)",fontsize=16,color="magenta"];36 -> 448[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	37 -> 470[label="",style="dashed", color="red", weight=0];
9.92/4.14	37[label="primCmpInt (Pos (primMulNat vx300 vx410)) (Neg vx310 * vx40)",fontsize=16,color="magenta"];37 -> 471[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	38 -> 539[label="",style="dashed", color="red", weight=0];
9.92/4.14	38[label="primCmpInt (Neg (primMulNat vx300 vx410)) (Neg vx310 * vx40)",fontsize=16,color="magenta"];38 -> 540[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	39 -> 447[label="",style="dashed", color="red", weight=0];
9.92/4.14	39[label="primCmpInt (Neg (primMulNat vx300 vx410)) (Pos vx310 * vx40)",fontsize=16,color="magenta"];39 -> 449[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	39 -> 450[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	40 -> 428[label="",style="dashed", color="red", weight=0];
9.92/4.14	40[label="primCmpInt (Pos (primMulNat vx300 vx410)) (Pos vx310 * vx40)",fontsize=16,color="magenta"];40 -> 430[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	40 -> 431[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	41 -> 539[label="",style="dashed", color="red", weight=0];
9.92/4.14	41[label="primCmpInt (Neg (primMulNat vx300 vx410)) (Neg vx310 * vx40)",fontsize=16,color="magenta"];41 -> 541[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	41 -> 542[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	42 -> 470[label="",style="dashed", color="red", weight=0];
9.92/4.14	42[label="primCmpInt (Pos (primMulNat vx300 vx410)) (Neg vx310 * vx40)",fontsize=16,color="magenta"];42 -> 472[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	42 -> 473[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	429[label="primMulNat vx300 vx410",fontsize=16,color="burlywood",shape="triangle"];709[label="vx300/Succ vx3000",fontsize=10,color="white",style="solid",shape="box"];429 -> 709[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	709 -> 442[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	710[label="vx300/Zero",fontsize=10,color="white",style="solid",shape="box"];429 -> 710[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	710 -> 443[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	428[label="primCmpInt (Pos vx12) (Pos vx310 * vx40)",fontsize=16,color="burlywood",shape="triangle"];711[label="vx12/Succ vx120",fontsize=10,color="white",style="solid",shape="box"];428 -> 711[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	711 -> 444[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	712[label="vx12/Zero",fontsize=10,color="white",style="solid",shape="box"];428 -> 712[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	712 -> 445[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	448 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	448[label="primMulNat vx300 vx410",fontsize=16,color="magenta"];448 -> 461[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	447[label="primCmpInt (Neg vx13) (Pos vx310 * vx40)",fontsize=16,color="burlywood",shape="triangle"];713[label="vx13/Succ vx130",fontsize=10,color="white",style="solid",shape="box"];447 -> 713[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	713 -> 462[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	714[label="vx13/Zero",fontsize=10,color="white",style="solid",shape="box"];447 -> 714[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	714 -> 463[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	471 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	471[label="primMulNat vx300 vx410",fontsize=16,color="magenta"];471 -> 484[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	470[label="primCmpInt (Pos vx14) (Neg vx310 * vx40)",fontsize=16,color="burlywood",shape="triangle"];715[label="vx14/Succ vx140",fontsize=10,color="white",style="solid",shape="box"];470 -> 715[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	715 -> 485[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	716[label="vx14/Zero",fontsize=10,color="white",style="solid",shape="box"];470 -> 716[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	716 -> 486[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	540 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	540[label="primMulNat vx300 vx410",fontsize=16,color="magenta"];540 -> 551[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	540 -> 552[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	539[label="primCmpInt (Neg vx17) (Neg vx310 * vx40)",fontsize=16,color="burlywood",shape="triangle"];717[label="vx17/Succ vx170",fontsize=10,color="white",style="solid",shape="box"];539 -> 717[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	717 -> 553[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	718[label="vx17/Zero",fontsize=10,color="white",style="solid",shape="box"];539 -> 718[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	718 -> 554[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	449 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	449[label="primMulNat vx300 vx410",fontsize=16,color="magenta"];450[label="vx310",fontsize=16,color="green",shape="box"];430 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	430[label="primMulNat vx300 vx410",fontsize=16,color="magenta"];430 -> 446[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	431[label="vx310",fontsize=16,color="green",shape="box"];541 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	541[label="primMulNat vx300 vx410",fontsize=16,color="magenta"];541 -> 555[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	542[label="vx310",fontsize=16,color="green",shape="box"];472 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	472[label="primMulNat vx300 vx410",fontsize=16,color="magenta"];472 -> 487[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	472 -> 488[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	473[label="vx310",fontsize=16,color="green",shape="box"];442[label="primMulNat (Succ vx3000) vx410",fontsize=16,color="burlywood",shape="box"];719[label="vx410/Succ vx4100",fontsize=10,color="white",style="solid",shape="box"];442 -> 719[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	719 -> 464[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	720[label="vx410/Zero",fontsize=10,color="white",style="solid",shape="box"];442 -> 720[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	720 -> 465[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	443[label="primMulNat Zero vx410",fontsize=16,color="burlywood",shape="box"];721[label="vx410/Succ vx4100",fontsize=10,color="white",style="solid",shape="box"];443 -> 721[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	721 -> 466[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	722[label="vx410/Zero",fontsize=10,color="white",style="solid",shape="box"];443 -> 722[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	722 -> 467[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	444[label="primCmpInt (Pos (Succ vx120)) (Pos vx310 * vx40)",fontsize=16,color="black",shape="box"];444 -> 468[label="",style="solid", color="black", weight=3];
9.92/4.14	445[label="primCmpInt (Pos Zero) (Pos vx310 * vx40)",fontsize=16,color="black",shape="box"];445 -> 469[label="",style="solid", color="black", weight=3];
9.92/4.14	461[label="vx300",fontsize=16,color="green",shape="box"];462[label="primCmpInt (Neg (Succ vx130)) (Pos vx310 * vx40)",fontsize=16,color="black",shape="box"];462 -> 489[label="",style="solid", color="black", weight=3];
9.92/4.14	463[label="primCmpInt (Neg Zero) (Pos vx310 * vx40)",fontsize=16,color="black",shape="box"];463 -> 490[label="",style="solid", color="black", weight=3];
9.92/4.14	484[label="vx410",fontsize=16,color="green",shape="box"];485[label="primCmpInt (Pos (Succ vx140)) (Neg vx310 * vx40)",fontsize=16,color="black",shape="box"];485 -> 513[label="",style="solid", color="black", weight=3];
9.92/4.14	486[label="primCmpInt (Pos Zero) (Neg vx310 * vx40)",fontsize=16,color="black",shape="box"];486 -> 514[label="",style="solid", color="black", weight=3];
9.92/4.14	551[label="vx300",fontsize=16,color="green",shape="box"];552[label="vx410",fontsize=16,color="green",shape="box"];553[label="primCmpInt (Neg (Succ vx170)) (Neg vx310 * vx40)",fontsize=16,color="black",shape="box"];553 -> 564[label="",style="solid", color="black", weight=3];
9.92/4.14	554[label="primCmpInt (Neg Zero) (Neg vx310 * vx40)",fontsize=16,color="black",shape="box"];554 -> 565[label="",style="solid", color="black", weight=3];
9.92/4.14	446[label="vx300",fontsize=16,color="green",shape="box"];555[label="vx410",fontsize=16,color="green",shape="box"];487[label="vx300",fontsize=16,color="green",shape="box"];488[label="vx410",fontsize=16,color="green",shape="box"];464[label="primMulNat (Succ vx3000) (Succ vx4100)",fontsize=16,color="black",shape="box"];464 -> 491[label="",style="solid", color="black", weight=3];
9.92/4.14	465[label="primMulNat (Succ vx3000) Zero",fontsize=16,color="black",shape="box"];465 -> 492[label="",style="solid", color="black", weight=3];
9.92/4.14	466[label="primMulNat Zero (Succ vx4100)",fontsize=16,color="black",shape="box"];466 -> 493[label="",style="solid", color="black", weight=3];
9.92/4.14	467[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];467 -> 494[label="",style="solid", color="black", weight=3];
9.92/4.14	468[label="primCmpInt (Pos (Succ vx120)) (primMulInt (Pos vx310) vx40)",fontsize=16,color="burlywood",shape="box"];723[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];468 -> 723[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	723 -> 495[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	724[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];468 -> 724[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	724 -> 496[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	469[label="primCmpInt (Pos Zero) (primMulInt (Pos vx310) vx40)",fontsize=16,color="burlywood",shape="box"];725[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];469 -> 725[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	725 -> 497[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	726[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];469 -> 726[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	726 -> 498[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	489[label="primCmpInt (Neg (Succ vx130)) (primMulInt (Pos vx310) vx40)",fontsize=16,color="burlywood",shape="box"];727[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];489 -> 727[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	727 -> 515[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	728[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];489 -> 728[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	728 -> 516[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	490[label="primCmpInt (Neg Zero) (primMulInt (Pos vx310) vx40)",fontsize=16,color="burlywood",shape="box"];729[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];490 -> 729[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	729 -> 517[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	730[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];490 -> 730[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	730 -> 518[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	513[label="primCmpInt (Pos (Succ vx140)) (primMulInt (Neg vx310) vx40)",fontsize=16,color="burlywood",shape="box"];731[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];513 -> 731[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	731 -> 521[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	732[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];513 -> 732[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	732 -> 522[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	514[label="primCmpInt (Pos Zero) (primMulInt (Neg vx310) vx40)",fontsize=16,color="burlywood",shape="box"];733[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];514 -> 733[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	733 -> 523[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	734[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];514 -> 734[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	734 -> 524[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	564[label="primCmpInt (Neg (Succ vx170)) (primMulInt (Neg vx310) vx40)",fontsize=16,color="burlywood",shape="box"];735[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];564 -> 735[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	735 -> 570[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	736[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];564 -> 736[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	736 -> 571[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	565[label="primCmpInt (Neg Zero) (primMulInt (Neg vx310) vx40)",fontsize=16,color="burlywood",shape="box"];737[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];565 -> 737[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	737 -> 572[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	738[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];565 -> 738[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	738 -> 573[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	491 -> 519[label="",style="dashed", color="red", weight=0];
9.92/4.14	491[label="primPlusNat (primMulNat vx3000 (Succ vx4100)) (Succ vx4100)",fontsize=16,color="magenta"];491 -> 520[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	492[label="Zero",fontsize=16,color="green",shape="box"];493[label="Zero",fontsize=16,color="green",shape="box"];494[label="Zero",fontsize=16,color="green",shape="box"];495[label="primCmpInt (Pos (Succ vx120)) (primMulInt (Pos vx310) (Pos vx400))",fontsize=16,color="black",shape="box"];495 -> 525[label="",style="solid", color="black", weight=3];
9.92/4.14	496[label="primCmpInt (Pos (Succ vx120)) (primMulInt (Pos vx310) (Neg vx400))",fontsize=16,color="black",shape="box"];496 -> 526[label="",style="solid", color="black", weight=3];
9.92/4.14	497[label="primCmpInt (Pos Zero) (primMulInt (Pos vx310) (Pos vx400))",fontsize=16,color="black",shape="box"];497 -> 527[label="",style="solid", color="black", weight=3];
9.92/4.14	498[label="primCmpInt (Pos Zero) (primMulInt (Pos vx310) (Neg vx400))",fontsize=16,color="black",shape="box"];498 -> 528[label="",style="solid", color="black", weight=3];
9.92/4.14	515[label="primCmpInt (Neg (Succ vx130)) (primMulInt (Pos vx310) (Pos vx400))",fontsize=16,color="black",shape="box"];515 -> 529[label="",style="solid", color="black", weight=3];
9.92/4.14	516[label="primCmpInt (Neg (Succ vx130)) (primMulInt (Pos vx310) (Neg vx400))",fontsize=16,color="black",shape="box"];516 -> 530[label="",style="solid", color="black", weight=3];
9.92/4.14	517[label="primCmpInt (Neg Zero) (primMulInt (Pos vx310) (Pos vx400))",fontsize=16,color="black",shape="box"];517 -> 531[label="",style="solid", color="black", weight=3];
9.92/4.14	518[label="primCmpInt (Neg Zero) (primMulInt (Pos vx310) (Neg vx400))",fontsize=16,color="black",shape="box"];518 -> 532[label="",style="solid", color="black", weight=3];
9.92/4.14	521[label="primCmpInt (Pos (Succ vx140)) (primMulInt (Neg vx310) (Pos vx400))",fontsize=16,color="black",shape="box"];521 -> 556[label="",style="solid", color="black", weight=3];
9.92/4.14	522[label="primCmpInt (Pos (Succ vx140)) (primMulInt (Neg vx310) (Neg vx400))",fontsize=16,color="black",shape="box"];522 -> 557[label="",style="solid", color="black", weight=3];
9.92/4.14	523[label="primCmpInt (Pos Zero) (primMulInt (Neg vx310) (Pos vx400))",fontsize=16,color="black",shape="box"];523 -> 558[label="",style="solid", color="black", weight=3];
9.92/4.14	524[label="primCmpInt (Pos Zero) (primMulInt (Neg vx310) (Neg vx400))",fontsize=16,color="black",shape="box"];524 -> 559[label="",style="solid", color="black", weight=3];
9.92/4.14	570[label="primCmpInt (Neg (Succ vx170)) (primMulInt (Neg vx310) (Pos vx400))",fontsize=16,color="black",shape="box"];570 -> 577[label="",style="solid", color="black", weight=3];
9.92/4.14	571[label="primCmpInt (Neg (Succ vx170)) (primMulInt (Neg vx310) (Neg vx400))",fontsize=16,color="black",shape="box"];571 -> 578[label="",style="solid", color="black", weight=3];
9.92/4.14	572[label="primCmpInt (Neg Zero) (primMulInt (Neg vx310) (Pos vx400))",fontsize=16,color="black",shape="box"];572 -> 579[label="",style="solid", color="black", weight=3];
9.92/4.14	573[label="primCmpInt (Neg Zero) (primMulInt (Neg vx310) (Neg vx400))",fontsize=16,color="black",shape="box"];573 -> 580[label="",style="solid", color="black", weight=3];
9.92/4.14	520 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	520[label="primMulNat vx3000 (Succ vx4100)",fontsize=16,color="magenta"];520 -> 533[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	520 -> 534[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	519[label="primPlusNat vx16 (Succ vx4100)",fontsize=16,color="burlywood",shape="triangle"];739[label="vx16/Succ vx160",fontsize=10,color="white",style="solid",shape="box"];519 -> 739[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	739 -> 535[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	740[label="vx16/Zero",fontsize=10,color="white",style="solid",shape="box"];519 -> 740[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	740 -> 536[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	525 -> 560[label="",style="dashed", color="red", weight=0];
9.92/4.14	525[label="primCmpInt (Pos (Succ vx120)) (Pos (primMulNat vx310 vx400))",fontsize=16,color="magenta"];525 -> 561[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	526 -> 566[label="",style="dashed", color="red", weight=0];
9.92/4.14	526[label="primCmpInt (Pos (Succ vx120)) (Neg (primMulNat vx310 vx400))",fontsize=16,color="magenta"];526 -> 567[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	527 -> 574[label="",style="dashed", color="red", weight=0];
9.92/4.14	527[label="primCmpInt (Pos Zero) (Pos (primMulNat vx310 vx400))",fontsize=16,color="magenta"];527 -> 575[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	528 -> 581[label="",style="dashed", color="red", weight=0];
9.92/4.14	528[label="primCmpInt (Pos Zero) (Neg (primMulNat vx310 vx400))",fontsize=16,color="magenta"];528 -> 582[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	529 -> 584[label="",style="dashed", color="red", weight=0];
9.92/4.14	529[label="primCmpInt (Neg (Succ vx130)) (Pos (primMulNat vx310 vx400))",fontsize=16,color="magenta"];529 -> 585[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	530 -> 588[label="",style="dashed", color="red", weight=0];
9.92/4.14	530[label="primCmpInt (Neg (Succ vx130)) (Neg (primMulNat vx310 vx400))",fontsize=16,color="magenta"];530 -> 589[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	531 -> 592[label="",style="dashed", color="red", weight=0];
9.92/4.14	531[label="primCmpInt (Neg Zero) (Pos (primMulNat vx310 vx400))",fontsize=16,color="magenta"];531 -> 593[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	532 -> 595[label="",style="dashed", color="red", weight=0];
9.92/4.14	532[label="primCmpInt (Neg Zero) (Neg (primMulNat vx310 vx400))",fontsize=16,color="magenta"];532 -> 596[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	556 -> 566[label="",style="dashed", color="red", weight=0];
9.92/4.14	556[label="primCmpInt (Pos (Succ vx140)) (Neg (primMulNat vx310 vx400))",fontsize=16,color="magenta"];556 -> 568[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	556 -> 569[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	557 -> 560[label="",style="dashed", color="red", weight=0];
9.92/4.14	557[label="primCmpInt (Pos (Succ vx140)) (Pos (primMulNat vx310 vx400))",fontsize=16,color="magenta"];557 -> 562[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	557 -> 563[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	558 -> 581[label="",style="dashed", color="red", weight=0];
9.92/4.14	558[label="primCmpInt (Pos Zero) (Neg (primMulNat vx310 vx400))",fontsize=16,color="magenta"];558 -> 583[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	559 -> 574[label="",style="dashed", color="red", weight=0];
9.92/4.14	559[label="primCmpInt (Pos Zero) (Pos (primMulNat vx310 vx400))",fontsize=16,color="magenta"];559 -> 576[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	577 -> 588[label="",style="dashed", color="red", weight=0];
9.92/4.14	577[label="primCmpInt (Neg (Succ vx170)) (Neg (primMulNat vx310 vx400))",fontsize=16,color="magenta"];577 -> 590[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	577 -> 591[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	578 -> 584[label="",style="dashed", color="red", weight=0];
9.92/4.14	578[label="primCmpInt (Neg (Succ vx170)) (Pos (primMulNat vx310 vx400))",fontsize=16,color="magenta"];578 -> 586[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	578 -> 587[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	579 -> 595[label="",style="dashed", color="red", weight=0];
9.92/4.14	579[label="primCmpInt (Neg Zero) (Neg (primMulNat vx310 vx400))",fontsize=16,color="magenta"];579 -> 597[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	580 -> 592[label="",style="dashed", color="red", weight=0];
9.92/4.14	580[label="primCmpInt (Neg Zero) (Pos (primMulNat vx310 vx400))",fontsize=16,color="magenta"];580 -> 594[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	533[label="vx3000",fontsize=16,color="green",shape="box"];534[label="Succ vx4100",fontsize=16,color="green",shape="box"];535[label="primPlusNat (Succ vx160) (Succ vx4100)",fontsize=16,color="black",shape="box"];535 -> 598[label="",style="solid", color="black", weight=3];
9.92/4.14	536[label="primPlusNat Zero (Succ vx4100)",fontsize=16,color="black",shape="box"];536 -> 599[label="",style="solid", color="black", weight=3];
9.92/4.14	561 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	561[label="primMulNat vx310 vx400",fontsize=16,color="magenta"];561 -> 600[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	561 -> 601[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	560[label="primCmpInt (Pos (Succ vx120)) (Pos vx19)",fontsize=16,color="black",shape="triangle"];560 -> 602[label="",style="solid", color="black", weight=3];
9.92/4.14	567 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	567[label="primMulNat vx310 vx400",fontsize=16,color="magenta"];567 -> 603[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	567 -> 604[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	566[label="primCmpInt (Pos (Succ vx120)) (Neg vx20)",fontsize=16,color="black",shape="triangle"];566 -> 605[label="",style="solid", color="black", weight=3];
9.92/4.14	575 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	575[label="primMulNat vx310 vx400",fontsize=16,color="magenta"];575 -> 606[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	575 -> 607[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	574[label="primCmpInt (Pos Zero) (Pos vx21)",fontsize=16,color="burlywood",shape="triangle"];741[label="vx21/Succ vx210",fontsize=10,color="white",style="solid",shape="box"];574 -> 741[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	741 -> 608[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	742[label="vx21/Zero",fontsize=10,color="white",style="solid",shape="box"];574 -> 742[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	742 -> 609[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	582 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	582[label="primMulNat vx310 vx400",fontsize=16,color="magenta"];582 -> 610[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	582 -> 611[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	581[label="primCmpInt (Pos Zero) (Neg vx22)",fontsize=16,color="burlywood",shape="triangle"];743[label="vx22/Succ vx220",fontsize=10,color="white",style="solid",shape="box"];581 -> 743[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	743 -> 612[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	744[label="vx22/Zero",fontsize=10,color="white",style="solid",shape="box"];581 -> 744[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	744 -> 613[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	585 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	585[label="primMulNat vx310 vx400",fontsize=16,color="magenta"];585 -> 614[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	585 -> 615[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	584[label="primCmpInt (Neg (Succ vx130)) (Pos vx23)",fontsize=16,color="black",shape="triangle"];584 -> 616[label="",style="solid", color="black", weight=3];
9.92/4.14	589 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	589[label="primMulNat vx310 vx400",fontsize=16,color="magenta"];589 -> 617[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	589 -> 618[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	588[label="primCmpInt (Neg (Succ vx130)) (Neg vx24)",fontsize=16,color="black",shape="triangle"];588 -> 619[label="",style="solid", color="black", weight=3];
9.92/4.14	593 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	593[label="primMulNat vx310 vx400",fontsize=16,color="magenta"];593 -> 620[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	593 -> 621[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	592[label="primCmpInt (Neg Zero) (Pos vx25)",fontsize=16,color="burlywood",shape="triangle"];745[label="vx25/Succ vx250",fontsize=10,color="white",style="solid",shape="box"];592 -> 745[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	745 -> 622[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	746[label="vx25/Zero",fontsize=10,color="white",style="solid",shape="box"];592 -> 746[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	746 -> 623[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	596 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	596[label="primMulNat vx310 vx400",fontsize=16,color="magenta"];596 -> 624[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	596 -> 625[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	595[label="primCmpInt (Neg Zero) (Neg vx26)",fontsize=16,color="burlywood",shape="triangle"];747[label="vx26/Succ vx260",fontsize=10,color="white",style="solid",shape="box"];595 -> 747[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	747 -> 626[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	748[label="vx26/Zero",fontsize=10,color="white",style="solid",shape="box"];595 -> 748[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	748 -> 627[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	568 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	568[label="primMulNat vx310 vx400",fontsize=16,color="magenta"];568 -> 628[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	568 -> 629[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	569[label="vx140",fontsize=16,color="green",shape="box"];562[label="vx140",fontsize=16,color="green",shape="box"];563 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	563[label="primMulNat vx310 vx400",fontsize=16,color="magenta"];563 -> 630[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	563 -> 631[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	583 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	583[label="primMulNat vx310 vx400",fontsize=16,color="magenta"];583 -> 632[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	583 -> 633[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	576 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	576[label="primMulNat vx310 vx400",fontsize=16,color="magenta"];576 -> 634[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	576 -> 635[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	590[label="vx170",fontsize=16,color="green",shape="box"];591 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	591[label="primMulNat vx310 vx400",fontsize=16,color="magenta"];591 -> 636[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	591 -> 637[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	586[label="vx170",fontsize=16,color="green",shape="box"];587 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	587[label="primMulNat vx310 vx400",fontsize=16,color="magenta"];587 -> 638[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	587 -> 639[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	597 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	597[label="primMulNat vx310 vx400",fontsize=16,color="magenta"];597 -> 640[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	597 -> 641[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	594 -> 429[label="",style="dashed", color="red", weight=0];
9.92/4.14	594[label="primMulNat vx310 vx400",fontsize=16,color="magenta"];594 -> 642[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	594 -> 643[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	598[label="Succ (Succ (primPlusNat vx160 vx4100))",fontsize=16,color="green",shape="box"];598 -> 644[label="",style="dashed", color="green", weight=3];
9.92/4.14	599[label="Succ vx4100",fontsize=16,color="green",shape="box"];600[label="vx310",fontsize=16,color="green",shape="box"];601[label="vx400",fontsize=16,color="green",shape="box"];602[label="primCmpNat (Succ vx120) vx19",fontsize=16,color="burlywood",shape="triangle"];749[label="vx19/Succ vx190",fontsize=10,color="white",style="solid",shape="box"];602 -> 749[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	749 -> 645[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	750[label="vx19/Zero",fontsize=10,color="white",style="solid",shape="box"];602 -> 750[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	750 -> 646[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	603[label="vx310",fontsize=16,color="green",shape="box"];604[label="vx400",fontsize=16,color="green",shape="box"];605[label="GT",fontsize=16,color="green",shape="box"];606[label="vx310",fontsize=16,color="green",shape="box"];607[label="vx400",fontsize=16,color="green",shape="box"];608[label="primCmpInt (Pos Zero) (Pos (Succ vx210))",fontsize=16,color="black",shape="box"];608 -> 647[label="",style="solid", color="black", weight=3];
9.92/4.14	609[label="primCmpInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];609 -> 648[label="",style="solid", color="black", weight=3];
9.92/4.14	610[label="vx310",fontsize=16,color="green",shape="box"];611[label="vx400",fontsize=16,color="green",shape="box"];612[label="primCmpInt (Pos Zero) (Neg (Succ vx220))",fontsize=16,color="black",shape="box"];612 -> 649[label="",style="solid", color="black", weight=3];
9.92/4.14	613[label="primCmpInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];613 -> 650[label="",style="solid", color="black", weight=3];
9.92/4.14	614[label="vx310",fontsize=16,color="green",shape="box"];615[label="vx400",fontsize=16,color="green",shape="box"];616[label="LT",fontsize=16,color="green",shape="box"];617[label="vx310",fontsize=16,color="green",shape="box"];618[label="vx400",fontsize=16,color="green",shape="box"];619[label="primCmpNat vx24 (Succ vx130)",fontsize=16,color="burlywood",shape="triangle"];751[label="vx24/Succ vx240",fontsize=10,color="white",style="solid",shape="box"];619 -> 751[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	751 -> 651[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	752[label="vx24/Zero",fontsize=10,color="white",style="solid",shape="box"];619 -> 752[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	752 -> 652[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	620[label="vx310",fontsize=16,color="green",shape="box"];621[label="vx400",fontsize=16,color="green",shape="box"];622[label="primCmpInt (Neg Zero) (Pos (Succ vx250))",fontsize=16,color="black",shape="box"];622 -> 653[label="",style="solid", color="black", weight=3];
9.92/4.14	623[label="primCmpInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];623 -> 654[label="",style="solid", color="black", weight=3];
9.92/4.14	624[label="vx310",fontsize=16,color="green",shape="box"];625[label="vx400",fontsize=16,color="green",shape="box"];626[label="primCmpInt (Neg Zero) (Neg (Succ vx260))",fontsize=16,color="black",shape="box"];626 -> 655[label="",style="solid", color="black", weight=3];
9.92/4.14	627[label="primCmpInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];627 -> 656[label="",style="solid", color="black", weight=3];
9.92/4.14	628[label="vx310",fontsize=16,color="green",shape="box"];629[label="vx400",fontsize=16,color="green",shape="box"];630[label="vx310",fontsize=16,color="green",shape="box"];631[label="vx400",fontsize=16,color="green",shape="box"];632[label="vx310",fontsize=16,color="green",shape="box"];633[label="vx400",fontsize=16,color="green",shape="box"];634[label="vx310",fontsize=16,color="green",shape="box"];635[label="vx400",fontsize=16,color="green",shape="box"];636[label="vx310",fontsize=16,color="green",shape="box"];637[label="vx400",fontsize=16,color="green",shape="box"];638[label="vx310",fontsize=16,color="green",shape="box"];639[label="vx400",fontsize=16,color="green",shape="box"];640[label="vx310",fontsize=16,color="green",shape="box"];641[label="vx400",fontsize=16,color="green",shape="box"];642[label="vx310",fontsize=16,color="green",shape="box"];643[label="vx400",fontsize=16,color="green",shape="box"];644[label="primPlusNat vx160 vx4100",fontsize=16,color="burlywood",shape="triangle"];753[label="vx160/Succ vx1600",fontsize=10,color="white",style="solid",shape="box"];644 -> 753[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	753 -> 657[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	754[label="vx160/Zero",fontsize=10,color="white",style="solid",shape="box"];644 -> 754[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	754 -> 658[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	645[label="primCmpNat (Succ vx120) (Succ vx190)",fontsize=16,color="black",shape="box"];645 -> 659[label="",style="solid", color="black", weight=3];
9.92/4.14	646[label="primCmpNat (Succ vx120) Zero",fontsize=16,color="black",shape="box"];646 -> 660[label="",style="solid", color="black", weight=3];
9.92/4.14	647 -> 619[label="",style="dashed", color="red", weight=0];
9.92/4.14	647[label="primCmpNat Zero (Succ vx210)",fontsize=16,color="magenta"];647 -> 661[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	647 -> 662[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	648[label="EQ",fontsize=16,color="green",shape="box"];649[label="GT",fontsize=16,color="green",shape="box"];650[label="EQ",fontsize=16,color="green",shape="box"];651[label="primCmpNat (Succ vx240) (Succ vx130)",fontsize=16,color="black",shape="box"];651 -> 663[label="",style="solid", color="black", weight=3];
9.92/4.14	652[label="primCmpNat Zero (Succ vx130)",fontsize=16,color="black",shape="box"];652 -> 664[label="",style="solid", color="black", weight=3];
9.92/4.14	653[label="LT",fontsize=16,color="green",shape="box"];654[label="EQ",fontsize=16,color="green",shape="box"];655 -> 602[label="",style="dashed", color="red", weight=0];
9.92/4.14	655[label="primCmpNat (Succ vx260) Zero",fontsize=16,color="magenta"];655 -> 665[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	655 -> 666[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	656[label="EQ",fontsize=16,color="green",shape="box"];657[label="primPlusNat (Succ vx1600) vx4100",fontsize=16,color="burlywood",shape="box"];755[label="vx4100/Succ vx41000",fontsize=10,color="white",style="solid",shape="box"];657 -> 755[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	755 -> 667[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	756[label="vx4100/Zero",fontsize=10,color="white",style="solid",shape="box"];657 -> 756[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	756 -> 668[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	658[label="primPlusNat Zero vx4100",fontsize=16,color="burlywood",shape="box"];757[label="vx4100/Succ vx41000",fontsize=10,color="white",style="solid",shape="box"];658 -> 757[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	757 -> 669[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	758[label="vx4100/Zero",fontsize=10,color="white",style="solid",shape="box"];658 -> 758[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	758 -> 670[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	659[label="primCmpNat vx120 vx190",fontsize=16,color="burlywood",shape="triangle"];759[label="vx120/Succ vx1200",fontsize=10,color="white",style="solid",shape="box"];659 -> 759[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	759 -> 671[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	760[label="vx120/Zero",fontsize=10,color="white",style="solid",shape="box"];659 -> 760[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	760 -> 672[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	660[label="GT",fontsize=16,color="green",shape="box"];661[label="vx210",fontsize=16,color="green",shape="box"];662[label="Zero",fontsize=16,color="green",shape="box"];663 -> 659[label="",style="dashed", color="red", weight=0];
9.92/4.14	663[label="primCmpNat vx240 vx130",fontsize=16,color="magenta"];663 -> 673[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	663 -> 674[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	664[label="LT",fontsize=16,color="green",shape="box"];665[label="vx260",fontsize=16,color="green",shape="box"];666[label="Zero",fontsize=16,color="green",shape="box"];667[label="primPlusNat (Succ vx1600) (Succ vx41000)",fontsize=16,color="black",shape="box"];667 -> 675[label="",style="solid", color="black", weight=3];
9.92/4.14	668[label="primPlusNat (Succ vx1600) Zero",fontsize=16,color="black",shape="box"];668 -> 676[label="",style="solid", color="black", weight=3];
9.92/4.14	669[label="primPlusNat Zero (Succ vx41000)",fontsize=16,color="black",shape="box"];669 -> 677[label="",style="solid", color="black", weight=3];
9.92/4.14	670[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];670 -> 678[label="",style="solid", color="black", weight=3];
9.92/4.14	671[label="primCmpNat (Succ vx1200) vx190",fontsize=16,color="burlywood",shape="box"];761[label="vx190/Succ vx1900",fontsize=10,color="white",style="solid",shape="box"];671 -> 761[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	761 -> 679[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	762[label="vx190/Zero",fontsize=10,color="white",style="solid",shape="box"];671 -> 762[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	762 -> 680[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	672[label="primCmpNat Zero vx190",fontsize=16,color="burlywood",shape="box"];763[label="vx190/Succ vx1900",fontsize=10,color="white",style="solid",shape="box"];672 -> 763[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	763 -> 681[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	764[label="vx190/Zero",fontsize=10,color="white",style="solid",shape="box"];672 -> 764[label="",style="solid", color="burlywood", weight=9];
9.92/4.14	764 -> 682[label="",style="solid", color="burlywood", weight=3];
9.92/4.14	673[label="vx130",fontsize=16,color="green",shape="box"];674[label="vx240",fontsize=16,color="green",shape="box"];675[label="Succ (Succ (primPlusNat vx1600 vx41000))",fontsize=16,color="green",shape="box"];675 -> 683[label="",style="dashed", color="green", weight=3];
9.92/4.14	676[label="Succ vx1600",fontsize=16,color="green",shape="box"];677[label="Succ vx41000",fontsize=16,color="green",shape="box"];678[label="Zero",fontsize=16,color="green",shape="box"];679[label="primCmpNat (Succ vx1200) (Succ vx1900)",fontsize=16,color="black",shape="box"];679 -> 684[label="",style="solid", color="black", weight=3];
9.92/4.14	680[label="primCmpNat (Succ vx1200) Zero",fontsize=16,color="black",shape="box"];680 -> 685[label="",style="solid", color="black", weight=3];
9.92/4.14	681[label="primCmpNat Zero (Succ vx1900)",fontsize=16,color="black",shape="box"];681 -> 686[label="",style="solid", color="black", weight=3];
9.92/4.14	682[label="primCmpNat Zero Zero",fontsize=16,color="black",shape="box"];682 -> 687[label="",style="solid", color="black", weight=3];
9.92/4.14	683 -> 644[label="",style="dashed", color="red", weight=0];
9.92/4.14	683[label="primPlusNat vx1600 vx41000",fontsize=16,color="magenta"];683 -> 688[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	683 -> 689[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	684 -> 659[label="",style="dashed", color="red", weight=0];
9.92/4.14	684[label="primCmpNat vx1200 vx1900",fontsize=16,color="magenta"];684 -> 690[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	684 -> 691[label="",style="dashed", color="magenta", weight=3];
9.92/4.14	685[label="GT",fontsize=16,color="green",shape="box"];686[label="LT",fontsize=16,color="green",shape="box"];687[label="EQ",fontsize=16,color="green",shape="box"];688[label="vx41000",fontsize=16,color="green",shape="box"];689[label="vx1600",fontsize=16,color="green",shape="box"];690[label="vx1900",fontsize=16,color="green",shape="box"];691[label="vx1200",fontsize=16,color="green",shape="box"];}
9.92/4.14	
9.92/4.14	----------------------------------------
9.92/4.14	
9.92/4.14	(6)
9.92/4.14	Complex Obligation (AND)
9.92/4.14	
9.92/4.14	----------------------------------------
9.92/4.14	
9.92/4.14	(7)
9.92/4.14	Obligation:
9.92/4.14	Q DP problem:
9.92/4.14	The TRS P consists of the following rules:
9.92/4.14	
9.92/4.14	   new_primCmpNat(Succ(vx1200), Succ(vx1900)) -> new_primCmpNat(vx1200, vx1900)
9.92/4.14	
9.92/4.14	R is empty.
9.92/4.14	Q is empty.
9.92/4.14	We have to consider all minimal (P,Q,R)-chains.
9.92/4.14	----------------------------------------
9.92/4.14	
9.92/4.14	(8) QDPSizeChangeProof (EQUIVALENT)
9.92/4.14	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. 
9.92/4.14	
9.92/4.14	From the DPs we obtained the following set of size-change graphs:
9.92/4.14	*new_primCmpNat(Succ(vx1200), Succ(vx1900)) -> new_primCmpNat(vx1200, vx1900)
9.92/4.14	The graph contains the following edges 1 > 1, 2 > 2
9.92/4.14	
9.92/4.14	
9.92/4.14	----------------------------------------
9.92/4.14	
9.92/4.14	(9)
9.92/4.14	YES
9.92/4.14	
9.92/4.14	----------------------------------------
9.92/4.14	
9.92/4.14	(10)
9.92/4.14	Obligation:
9.92/4.14	Q DP problem:
9.92/4.14	The TRS P consists of the following rules:
9.92/4.14	
9.92/4.14	   new_primMulNat(Succ(vx3000), Succ(vx4100)) -> new_primMulNat(vx3000, Succ(vx4100))
9.92/4.14	
9.92/4.14	R is empty.
9.92/4.14	Q is empty.
9.92/4.14	We have to consider all minimal (P,Q,R)-chains.
9.92/4.14	----------------------------------------
9.92/4.14	
9.92/4.14	(11) QDPSizeChangeProof (EQUIVALENT)
9.92/4.14	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. 
9.92/4.14	
9.92/4.14	From the DPs we obtained the following set of size-change graphs:
9.92/4.14	*new_primMulNat(Succ(vx3000), Succ(vx4100)) -> new_primMulNat(vx3000, Succ(vx4100))
9.92/4.14	The graph contains the following edges 1 > 1, 2 >= 2
9.92/4.14	
9.92/4.14	
9.92/4.14	----------------------------------------
9.92/4.14	
9.92/4.14	(12)
9.92/4.14	YES
9.92/4.14	
9.92/4.14	----------------------------------------
9.92/4.14	
9.92/4.14	(13)
9.92/4.14	Obligation:
9.92/4.14	Q DP problem:
9.92/4.14	The TRS P consists of the following rules:
9.92/4.14	
9.92/4.14	   new_primPlusNat(Succ(vx1600), Succ(vx41000)) -> new_primPlusNat(vx1600, vx41000)
9.92/4.14	
9.92/4.14	R is empty.
9.92/4.14	Q is empty.
9.92/4.14	We have to consider all minimal (P,Q,R)-chains.
9.92/4.14	----------------------------------------
9.92/4.14	
9.92/4.14	(14) QDPSizeChangeProof (EQUIVALENT)
9.92/4.14	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. 
9.92/4.14	
9.92/4.14	From the DPs we obtained the following set of size-change graphs:
9.92/4.14	*new_primPlusNat(Succ(vx1600), Succ(vx41000)) -> new_primPlusNat(vx1600, vx41000)
9.92/4.14	The graph contains the following edges 1 > 1, 2 > 2
9.92/4.14	
9.92/4.14	
9.92/4.14	----------------------------------------
9.92/4.14	
9.92/4.14	(15)
9.92/4.14	YES
9.92/4.18	EOF