58.21/15.08	YES
58.21/15.09	
58.21/15.09	Problem:
58.21/15.09	 c(c(x1)) -> a(a(a(b(b(b(x1))))))
58.21/15.09	 b(b(b(a(x1)))) -> b(b(b(b(b(b(b(b(x1))))))))
58.21/15.09	 b(b(c(c(x1)))) -> c(c(c(a(a(a(a(x1)))))))
58.21/15.09	
58.21/15.09	Proof:
58.21/15.09	 Bounds Processor:
58.21/15.09	  bound: 4
58.21/15.09	  enrichment: match
58.21/15.09	  automaton:
58.21/15.09	   final states: {13,8,1}
58.21/15.09	   transitions:
58.21/15.09	    b4(698) -> 699*
58.21/15.09	    b4(700) -> 701*
58.21/15.09	    b4(695) -> 696*
58.21/15.09	    b4(697) -> 698*
58.21/15.09	    b4(699) -> 700*
58.21/15.09	    b4(694) -> 695*
58.21/15.09	    b4(701) -> 702*
58.21/15.09	    b4(696) -> 697*
58.21/15.09	    a1(272) -> 273*
58.21/15.09	    a1(45) -> 46*
58.21/15.09	    a1(25) -> 26*
58.21/15.09	    a1(187) -> 188*
58.21/15.09	    a1(117) -> 118*
58.21/15.09	    a1(184) -> 185*
58.21/15.09	    a1(114) -> 115*
58.21/15.09	    a1(271) -> 272*
58.21/15.09	    a1(44) -> 45*
58.21/15.09	    a1(24) -> 25*
58.21/15.09	    a1(186) -> 187*
58.21/15.09	    a1(116) -> 117*
58.21/15.09	    a1(273) -> 274*
58.21/15.09	    a1(46) -> 47*
58.21/15.09	    a1(270) -> 271*
58.21/15.09	    a1(23) -> 24*
58.21/15.09	    a1(185) -> 186*
58.21/15.09	    a1(115) -> 116*
58.21/15.09	    b1(75) -> 76*
58.21/15.09	    b1(70) -> 71*
58.21/15.09	    b1(50) -> 51*
58.21/15.09	    b1(247) -> 248*
58.21/15.09	    b1(242) -> 243*
58.21/15.09	    b1(20) -> 21*
58.21/15.09	    b1(314) -> 315*
58.21/15.09	    b1(112) -> 113*
58.21/15.09	    b1(107) -> 108*
58.21/15.09	    b1(92) -> 93*
58.21/15.09	    b1(72) -> 73*
58.21/15.09	    b1(67) -> 68*
58.21/15.09	    b1(52) -> 53*
58.21/15.09	    b1(244) -> 245*
58.21/15.09	    b1(42) -> 43*
58.29/15.10	    b1(22) -> 23*
58.29/15.10	    b1(316) -> 317*
58.29/15.10	    b1(109) -> 110*
58.29/15.10	    b1(94) -> 95*
58.29/15.10	    b1(74) -> 75*
58.29/15.10	    b1(69) -> 70*
58.29/15.10	    b1(49) -> 50*
58.29/15.10	    b1(246) -> 247*
58.29/15.10	    b1(241) -> 242*
58.29/15.10	    b1(313) -> 314*
58.29/15.10	    b1(111) -> 112*
58.29/15.10	    b1(106) -> 107*
58.29/15.10	    b1(91) -> 92*
58.29/15.10	    b1(76) -> 77*
58.29/15.10	    b1(66) -> 67*
58.29/15.10	    b1(51) -> 52*
58.29/15.10	    b1(248) -> 249*
58.29/15.10	    b1(243) -> 244*
58.29/15.10	    b1(41) -> 42*
58.29/15.10	    b1(21) -> 22*
58.29/15.10	    b1(315) -> 316*
58.29/15.10	    b1(108) -> 109*
58.29/15.10	    b1(93) -> 94*
58.29/15.10	    b1(73) -> 74*
58.29/15.10	    b1(68) -> 69*
58.29/15.10	    b1(48) -> 49*
58.29/15.10	    b1(245) -> 246*
58.29/15.10	    b1(43) -> 44*
58.29/15.10	    b1(317) -> 318*
58.29/15.10	    b1(312) -> 313*
58.29/15.10	    b1(110) -> 111*
58.29/15.10	    b1(105) -> 106*
58.29/15.10	    b1(90) -> 91*
58.29/15.10	    c1(274) -> 275*
58.29/15.10	    c1(189) -> 190*
58.29/15.10	    c1(119) -> 120*
58.29/15.10	    c1(276) -> 277*
58.29/15.10	    c1(188) -> 189*
58.29/15.10	    c1(118) -> 119*
58.29/15.10	    c1(275) -> 276*
58.29/15.10	    c1(190) -> 191*
58.29/15.10	    c1(120) -> 121*
58.29/15.10	    b2(469) -> 470*
58.29/15.10	    b2(267) -> 268*
58.29/15.10	    b2(464) -> 465*
58.29/15.10	    b2(459) -> 460*
58.29/15.10	    b2(454) -> 455*
58.29/15.10	    b2(651) -> 652*
58.29/15.10	    b2(449) -> 450*
58.29/15.10	    b2(646) -> 647*
58.29/15.10	    b2(237) -> 238*
58.29/15.10	    b2(192) -> 193*
58.29/15.10	    b2(591) -> 592*
58.29/15.10	    b2(586) -> 587*
58.29/15.10	    b2(566) -> 567*
58.29/15.10	    b2(162) -> 163*
58.29/15.10	    b2(359) -> 360*
58.29/15.10	    b2(152) -> 153*
58.29/15.10	    b2(349) -> 350*
58.29/15.10	    b2(541) -> 542*
58.29/15.10	    b2(339) -> 340*
58.29/15.10	    b2(137) -> 138*
58.29/15.10	    b2(334) -> 335*
58.29/15.10	    b2(299) -> 300*
58.29/15.10	    b2(491) -> 492*
58.29/15.10	    b2(688) -> 689*
58.29/15.10	    b2(486) -> 487*
58.29/15.10	    b2(466) -> 467*
58.29/15.10	    b2(264) -> 265*
58.29/15.10	    b2(456) -> 457*
58.29/15.10	    b2(653) -> 654*
58.29/15.10	    b2(451) -> 452*
58.29/15.10	    b2(643) -> 644*
58.29/15.10	    b2(239) -> 240*
58.29/15.10	    b2(214) -> 215*
58.29/15.10	    b2(194) -> 195*
58.29/15.10	    b2(593) -> 594*
58.29/15.10	    b2(583) -> 584*
58.29/15.10	    b2(164) -> 165*
58.29/15.10	    b2(563) -> 564*
58.29/15.10	    b2(159) -> 160*
58.29/15.10	    b2(356) -> 357*
58.29/15.10	    b2(351) -> 352*
58.29/15.10	    b2(543) -> 544*
58.29/15.10	    b2(341) -> 342*
58.29/15.10	    b2(139) -> 140*
58.29/15.10	    b2(538) -> 539*
58.29/15.10	    b2(336) -> 337*
58.29/15.10	    b2(735) -> 736*
58.29/15.10	    b2(301) -> 302*
58.29/15.10	    b2(493) -> 494*
58.29/15.10	    b2(690) -> 691*
58.29/15.10	    b2(488) -> 489*
58.29/15.10	    b2(286) -> 287*
58.29/15.10	    b2(468) -> 469*
58.29/15.10	    b2(266) -> 267*
58.29/15.10	    b2(463) -> 464*
58.29/15.10	    b2(458) -> 459*
58.29/15.10	    b2(453) -> 454*
58.29/15.10	    b2(650) -> 651*
58.29/15.10	    b2(448) -> 449*
58.29/15.10	    b2(645) -> 646*
58.29/15.10	    b2(236) -> 237*
58.29/15.10	    b2(590) -> 591*
58.29/15.11	    b2(585) -> 586*
58.29/15.11	    b2(565) -> 566*
58.29/15.11	    b2(161) -> 162*
58.29/15.11	    b2(358) -> 359*
58.29/15.11	    b2(353) -> 354*
58.29/15.11	    b2(151) -> 152*
58.29/15.11	    b2(545) -> 546*
58.29/15.11	    b2(540) -> 541*
58.29/15.11	    b2(338) -> 339*
58.29/15.11	    b2(727) -> 728*
58.29/15.11	    b2(495) -> 496*
58.29/15.11	    b2(692) -> 693*
58.29/15.11	    b2(485) -> 486*
58.29/15.11	    b2(268) -> 269*
58.29/15.11	    b2(465) -> 466*
58.29/15.11	    b2(460) -> 461*
58.29/15.11	    b2(455) -> 456*
58.29/15.11	    b2(652) -> 653*
58.29/15.11	    b2(450) -> 451*
58.29/15.11	    b2(647) -> 648*
58.29/15.11	    b2(238) -> 239*
58.29/15.11	    b2(213) -> 214*
58.29/15.11	    b2(193) -> 194*
58.29/15.11	    b2(592) -> 593*
58.29/15.11	    b2(587) -> 588*
58.29/15.11	    b2(163) -> 164*
58.29/15.11	    b2(562) -> 563*
58.29/15.11	    b2(158) -> 159*
58.29/15.11	    b2(355) -> 356*
58.29/15.11	    b2(153) -> 154*
58.29/15.11	    b2(350) -> 351*
58.29/15.11	    b2(542) -> 543*
58.29/15.11	    b2(340) -> 341*
58.29/15.11	    b2(138) -> 139*
58.29/15.11	    b2(335) -> 336*
58.29/15.11	    b2(729) -> 730*
58.29/15.11	    b2(300) -> 301*
58.29/15.11	    b2(492) -> 493*
58.29/15.11	    b2(689) -> 690*
58.29/15.11	    b2(487) -> 488*
58.29/15.11	    b2(285) -> 286*
58.29/15.11	    b2(467) -> 468*
58.29/15.11	    b2(265) -> 266*
58.29/15.11	    b2(462) -> 463*
58.29/15.11	    b2(457) -> 458*
58.29/15.11	    b2(649) -> 650*
58.29/15.11	    b2(447) -> 448*
58.29/15.11	    b2(644) -> 645*
58.29/15.11	    b2(235) -> 236*
58.29/15.11	    b2(215) -> 216*
58.29/15.11	    b2(589) -> 590*
58.29/15.11	    b2(584) -> 585*
58.29/15.11	    b2(165) -> 166*
58.29/15.11	    b2(564) -> 565*
58.29/15.11	    b2(160) -> 161*
58.29/15.11	    b2(357) -> 358*
58.29/15.11	    b2(352) -> 353*
58.29/15.11	    b2(544) -> 545*
58.29/15.11	    b2(539) -> 540*
58.29/15.11	    b2(337) -> 338*
58.29/15.11	    b2(494) -> 495*
58.29/15.11	    b2(691) -> 692*
58.29/15.11	    b2(489) -> 490*
58.29/15.11	    b2(287) -> 288*
58.29/15.11	    a2(217) -> 218*
58.29/15.11	    a2(197) -> 198*
58.29/15.11	    a2(369) -> 370*
58.29/15.11	    a2(142) -> 143*
58.29/15.11	    a2(304) -> 305*
58.29/15.11	    a2(289) -> 290*
58.29/15.11	    a2(371) -> 372*
58.29/15.11	    a2(154) -> 155*
58.29/15.11	    a2(216) -> 217*
58.29/15.11	    a2(196) -> 197*
58.29/15.11	    a2(156) -> 157*
58.29/15.11	    a2(141) -> 142*
58.29/15.11	    a2(303) -> 304*
58.29/15.11	    a2(288) -> 289*
58.29/15.11	    a2(218) -> 219*
58.29/15.11	    a2(370) -> 371*
58.29/15.11	    a2(497) -> 498*
58.29/15.11	    a2(290) -> 291*
58.29/15.11	    a2(195) -> 196*
58.29/15.11	    a2(372) -> 373*
58.29/15.11	    a2(155) -> 156*
58.29/15.11	    a2(741) -> 742*
58.29/15.11	    a2(140) -> 141*
58.29/15.11	    a2(731) -> 732*
58.29/15.11	    a2(302) -> 303*
58.29/15.11	    f30() -> 2*
58.29/15.11	    c2(374) -> 375*
58.29/15.11	    c2(373) -> 374*
58.29/15.11	    c2(375) -> 376*
58.29/15.11	    a0(15) -> 16*
58.29/15.11	    a0(5) -> 6*
58.29/15.11	    a0(7) -> 1*
58.29/15.11	    a0(2) -> 14*
58.29/15.11	    a0(14) -> 15*
58.29/15.11	    a0(16) -> 17*
58.29/15.11	    a0(6) -> 7*
58.29/15.11	    b3(661) -> 662*
58.29/15.11	    b3(656) -> 657*
58.29/15.11	    b3(444) -> 445*
58.29/15.11	    b3(439) -> 440*
58.29/15.11	    b3(626) -> 627*
58.29/15.11	    b3(596) -> 597*
58.29/15.11	    b3(571) -> 572*
58.29/15.11	    b3(753) -> 754*
58.29/15.11	    b3(536) -> 537*
58.29/15.11	    b3(733) -> 734*
58.29/15.11	    b3(531) -> 532*
58.29/15.11	    b3(718) -> 719*
58.29/15.11	    b3(703) -> 704*
58.29/15.11	    b3(663) -> 664*
58.29/15.11	    b3(658) -> 659*
58.29/15.11	    b3(441) -> 442*
58.29/15.11	    b3(431) -> 432*
58.29/15.11	    b3(628) -> 629*
58.29/15.11	    b3(623) -> 624*
58.29/15.11	    b3(598) -> 599*
58.29/15.11	    b3(391) -> 392*
58.29/15.11	    b3(573) -> 574*
58.29/15.11	    b3(568) -> 569*
58.29/15.11	    b3(755) -> 756*
58.29/15.11	    b3(750) -> 751*
58.29/15.11	    b3(533) -> 534*
58.29/15.11	    b3(715) -> 716*
58.29/15.11	    b3(705) -> 706*
58.29/15.11	    b3(665) -> 666*
58.29/15.11	    b3(655) -> 656*
58.29/15.11	    b3(443) -> 444*
58.29/15.11	    b3(438) -> 439*
58.29/15.11	    b3(433) -> 434*
58.29/15.11	    b3(625) -> 626*
58.29/15.11	    b3(595) -> 596*
58.29/15.11	    b3(393) -> 394*
58.29/15.11	    b3(575) -> 576*
58.29/15.11	    b3(570) -> 571*
58.29/15.11	    b3(752) -> 753*
58.29/15.11	    b3(747) -> 748*
58.29/15.11	    b3(535) -> 536*
58.29/15.11	    b3(530) -> 531*
58.29/15.11	    b3(717) -> 718*
58.29/15.11	    b3(707) -> 708*
58.29/15.11	    b3(662) -> 663*
58.29/15.11	    b3(657) -> 658*
58.29/15.11	    b3(445) -> 446*
58.29/15.11	    b3(440) -> 441*
58.29/15.11	    b3(627) -> 628*
58.29/15.11	    b3(622) -> 623*
58.29/15.11	    b3(597) -> 598*
58.29/15.11	    b3(572) -> 573*
58.29/15.11	    b3(754) -> 755*
58.29/15.11	    b3(749) -> 750*
58.29/15.11	    b3(739) -> 740*
58.29/15.11	    b3(532) -> 533*
58.29/15.11	    b3(719) -> 720*
58.29/15.11	    b3(704) -> 705*
58.29/15.11	    b3(664) -> 665*
58.29/15.11	    b3(659) -> 660*
58.29/15.11	    b3(442) -> 443*
58.29/15.11	    b3(432) -> 433*
58.29/15.11	    b3(629) -> 630*
58.29/15.11	    b3(624) -> 625*
58.29/15.11	    b3(599) -> 600*
58.29/15.11	    b3(392) -> 393*
58.29/15.11	    b3(574) -> 575*
58.29/15.11	    b3(569) -> 570*
58.29/15.11	    b3(756) -> 757*
58.29/15.11	    b3(751) -> 752*
58.29/15.11	    b3(534) -> 535*
58.29/15.11	    b3(529) -> 530*
58.29/15.11	    b3(721) -> 722*
58.29/15.11	    b3(716) -> 717*
58.29/15.11	    b3(706) -> 707*
58.29/15.11	    b0(10) -> 11*
58.29/15.11	    b0(5) -> 9*
58.29/15.11	    b0(12) -> 8*
58.29/15.11	    b0(2) -> 3*
58.29/15.11	    b0(9) -> 10*
58.29/15.11	    b0(4) -> 5*
58.29/15.11	    b0(11) -> 12*
58.29/15.11	    b0(3) -> 4*
58.29/15.11	    a3(434) -> 435*
58.29/15.11	    a3(394) -> 395*
58.29/15.11	    a3(436) -> 437*
58.29/15.11	    a3(396) -> 397*
58.29/15.11	    a3(435) -> 436*
58.29/15.11	    a3(395) -> 396*
58.29/15.11	    c0(17) -> 18*
58.29/15.11	    c0(19) -> 13*
58.29/15.11	    c0(18) -> 19*
58.29/15.11	    2 -> 90*
58.29/15.11	    8 -> 91,3,92,4,93,5
58.29/15.11	    13 -> 92,4
58.29/15.11	    14 -> 72*
58.29/15.11	    15 -> 66*
58.29/15.11	    16 -> 48*
58.29/15.11	    17 -> 20*
58.29/15.11	    18 -> 114,41
58.29/15.11	    26 -> 19*
58.29/15.11	    44 -> 235*
58.29/15.11	    45 -> 158*
58.29/15.11	    46 -> 727,105
58.29/15.11	    47 -> 13*
58.29/15.11	    53 -> 20*
58.29/15.11	    71 -> 48*
58.29/15.11	    77 -> 66*
58.29/15.11	    92 -> 23,22,21,53,20,52,51,50,49,71,70,69,68,67,77,66,76,75,8,74,12,73,11,10,95,93,4,5,9,94
58.29/15.11	    95 -> 72*
58.29/15.11	    113 -> 72,10
58.29/15.11	    114 -> 589*
58.29/15.11	    115 -> 447*
58.29/15.11	    116 -> 355*
58.29/15.11	    117 -> 264*
58.29/15.11	    118 -> 151*
58.29/15.11	    119 -> 731,184,137
58.29/15.11	    121 -> 92,91,11,74,76,77,68,70,49,51,20,21,23,72,9
58.29/15.11	    140 -> 438*
58.29/15.11	    141 -> 739,334
58.29/15.11	    142 -> 729,241
58.29/15.11	    143 -> 121,9
58.29/15.11	    157 -> 120*
58.29/15.11	    166 -> 465,108
58.29/15.11	    184 -> 649*
58.29/15.11	    185 -> 583*
58.29/15.11	    186 -> 491*
58.29/15.11	    187 -> 349*
58.29/15.11	    188 -> 213*
58.29/15.11	    189 -> 741,270,192
58.29/15.11	    191 -> 72,11
58.29/15.11	    195 -> 568*
58.29/15.11	    196 -> 749,453
58.29/15.11	    197 -> 735,312
58.29/15.11	    198 -> 191,11
58.29/15.11	    219 -> 190*
58.29/15.11	    240 -> 158*
58.29/15.11	    249 -> 72,12
58.29/15.11	    269 -> 151*
58.29/15.11	    270 -> 688*
58.29/15.11	    271 -> 643*
58.29/15.11	    272 -> 562*
58.29/15.11	    273 -> 485*
58.29/15.11	    274 -> 299*
58.29/15.11	    275 -> 369,285
58.29/15.11	    277 -> 8,3,4,5,93,92,91
58.29/15.11	    288 -> 661*
58.29/15.11	    289 -> 529*
58.29/15.11	    290 -> 462*
58.29/15.11	    291 -> 277,8,5,92
58.29/15.11	    305 -> 276*
58.29/15.11	    318 -> 90*
58.29/15.11	    342 -> 244*
58.29/15.11	    354 -> 213*
58.29/15.11	    360 -> 264*
58.29/15.11	    369 -> 715*
58.29/15.11	    370 -> 703*
58.29/15.11	    371 -> 655*
58.29/15.11	    372 -> 595*
58.29/15.11	    373 -> 431*
58.29/15.11	    374 -> 497,391
58.29/15.11	    376 -> 23,22,53,21,51,52,50,49,70,71,69,68,77,67,66,76,75,8,73,11,12,74,95,94,9,93,5,10,72
58.29/15.11	    394 -> 694*
58.29/15.11	    395 -> 622*
58.29/15.11	    396 -> 538*
58.29/15.11	    397 -> 376,5,9,94,93,95,72
58.29/15.11	    437 -> 375*
58.29/15.11	    446 -> 532,337
58.29/15.11	    452 -> 355*
58.29/15.11	    461 -> 315*
58.29/15.11	    470 -> 23,22,21,53,52,51,50,49,71,70,69,68,67,77,66,76,75,8,74,11,10,12,9,94,95,73
58.29/15.11	    490 -> 299*
58.29/15.11	    496 -> 349*
58.29/15.11	    497 -> 721*
58.29/15.11	    498 -> 370*
58.29/15.11	    537 -> 465*
58.29/15.11	    546 -> 23,21,22,52,53,50,51,71,49,48,69,70,67,68,76,73,75,74,11,12,8,77
58.29/15.11	    567 -> 485*
58.29/15.11	    576 -> 752,456
58.29/15.11	    588 -> 491*
58.29/15.11	    594 -> 447*
58.29/15.11	    600 -> 431*
58.29/15.11	    630 -> 541*
58.29/15.11	    648 -> 562*
58.29/15.11	    654 -> 583*
58.29/15.11	    660 -> 595*
58.29/15.11	    666 -> 529*
58.29/15.11	    693 -> 643*
58.29/15.11	    702 -> 625*
58.29/15.11	    708 -> 655*
58.29/15.11	    720 -> 703*
58.29/15.11	    722 -> 716*
58.29/15.11	    728 -> 463*
58.29/15.11	    730 -> 463*
58.29/15.11	    731 -> 733*
58.29/15.11	    732 -> 370*
58.29/15.11	    734 -> 716*
58.29/15.11	    736 -> 164*
58.29/15.11	    740 -> 530*
58.29/15.11	    741 -> 747*
58.29/15.11	    742 -> 370*
58.29/15.11	    748 -> 716*
58.29/15.11	    757 -> 166*
58.29/15.11	  problem:
58.29/15.11	   
58.29/15.11	  Qed
58.29/15.11	EOF