YES Problem: 0(0(0(0(0(1(2(2(1(0(3(2(3(x1))))))))))))) -> 1(1(2(2(3(0(2(2(0(1(2(0(2(2(1(3(2(x1))))))))))))))))) 0(0(2(3(2(1(0(2(1(2(0(3(0(x1))))))))))))) -> 3(2(2(2(2(3(3(3(2(2(3(0(2(2(2(0(0(x1))))))))))))))))) 0(1(0(2(1(0(3(2(0(3(0(2(0(x1))))))))))))) -> 0(3(3(2(2(3(2(2(2(0(1(0(2(0(3(2(0(x1))))))))))))))))) 0(1(2(2(0(2(2(3(0(1(1(1(3(x1))))))))))))) -> 0(2(2(2(1(3(1(2(3(0(2(0(0(2(2(1(1(x1))))))))))))))))) 0(3(0(2(0(0(2(1(2(3(1(3(2(x1))))))))))))) -> 1(0(2(2(1(1(3(0(2(0(0(0(2(2(0(3(2(x1))))))))))))))))) 1(2(2(1(0(0(1(0(3(2(1(2(3(x1))))))))))))) -> 1(2(2(1(3(3(0(2(2(0(2(2(2(0(0(2(1(x1))))))))))))))))) 1(3(0(1(1(1(2(3(1(3(0(2(2(x1))))))))))))) -> 0(2(0(2(2(0(1(1(2(2(2(3(2(0(2(2(1(x1))))))))))))))))) 1(3(3(1(0(1(3(2(2(2(0(0(3(x1))))))))))))) -> 0(2(1(2(2(0(0(0(2(2(2(0(1(2(2(0(1(x1))))))))))))))))) 1(3(3(2(2(0(1(1(1(1(2(0(3(x1))))))))))))) -> 1(2(2(2(3(2(0(2(1(1(2(2(1(3(1(2(1(x1))))))))))))))))) 1(3(3(3(2(2(3(1(2(2(3(3(1(x1))))))))))))) -> 2(1(2(1(2(3(0(2(2(0(0(2(2(2(1(3(1(x1))))))))))))))))) 2(0(0(1(2(0(3(2(3(2(2(3(2(x1))))))))))))) -> 2(0(2(3(0(2(2(1(3(2(2(0(0(0(2(0(2(x1))))))))))))))))) 2(0(0(2(3(2(3(2(1(0(3(2(1(x1))))))))))))) -> 2(0(0(0(0(0(2(2(2(2(1(3(2(2(3(2(1(x1))))))))))))))))) 2(0(1(0(2(2(0(3(0(0(3(3(0(x1))))))))))))) -> 2(0(2(0(2(3(1(1(2(3(1(2(2(2(0(2(0(x1))))))))))))))))) 2(0(1(1(1(3(2(0(0(0(1(0(1(x1))))))))))))) -> 2(1(2(2(2(2(2(0(2(3(2(0(2(1(0(0(0(x1))))))))))))))))) 2(0(3(3(1(0(3(1(2(2(2(2(1(x1))))))))))))) -> 2(2(3(1(0(1(2(2(3(2(2(0(0(1(1(2(2(x1))))))))))))))))) 2(1(0(3(3(0(0(3(1(1(2(3(2(x1))))))))))))) -> 2(1(1(3(1(0(0(2(2(2(1(3(1(1(3(1(2(x1))))))))))))))))) 2(1(1(2(1(1(1(1(1(2(0(3(0(x1))))))))))))) -> 2(1(1(1(0(0(2(0(2(2(0(1(3(2(0(1(0(x1))))))))))))))))) 2(1(1(2(2(3(0(0(3(3(1(3(2(x1))))))))))))) -> 2(1(3(1(0(2(0(3(2(3(2(2(3(2(0(2(2(x1))))))))))))))))) 2(1(1(3(2(3(3(1(0(0(1(2(0(x1))))))))))))) -> 2(3(3(1(2(2(2(1(1(2(2(1(0(3(2(2(3(x1))))))))))))))))) 2(1(1(3(3(0(1(0(0(0(2(1(3(x1))))))))))))) -> 2(0(2(2(1(3(0(2(1(2(3(2(0(0(2(3(0(x1))))))))))))))))) 2(1(2(3(1(2(3(3(2(3(3(1(1(x1))))))))))))) -> 2(2(3(0(0(2(2(1(2(0(1(0(2(0(3(1(2(x1))))))))))))))))) 2(2(0(2(3(2(3(3(1(1(1(3(3(x1))))))))))))) -> 2(2(2(2(2(3(3(3(1(1(3(2(3(2(2(2(2(x1))))))))))))))))) 2(2(1(0(2(3(3(3(0(1(1(1(1(x1))))))))))))) -> 2(0(2(3(1(2(0(2(2(3(2(2(3(2(2(2(2(x1))))))))))))))))) 2(2(1(1(2(0(1(1(0(3(3(0(1(x1))))))))))))) -> 0(2(2(1(0(0(0(1(2(2(0(2(3(1(2(2(0(x1))))))))))))))))) 2(2(1(1(3(1(3(2(0(1(0(0(1(x1))))))))))))) -> 0(0(0(2(2(1(3(0(3(0(0(2(2(3(0(1(1(x1))))))))))))))))) 2(3(0(0(1(2(1(2(3(0(2(1(1(x1))))))))))))) -> 2(2(2(0(1(3(3(0(3(2(0(2(2(0(0(2(2(x1))))))))))))))))) 2(3(2(0(0(0(0(0(3(1(0(2(3(x1))))))))))))) -> 2(3(0(0(2(2(2(1(1(1(3(2(1(3(1(3(2(x1))))))))))))))))) 3(0(1(2(2(3(3(2(2(2(0(1(3(x1))))))))))))) -> 3(1(2(2(0(2(2(0(2(2(1(3(0(0(2(2(1(x1))))))))))))))))) 3(1(2(1(2(3(0(2(1(2(1(2(3(x1))))))))))))) -> 0(0(2(2(2(3(1(0(1(3(2(2(0(1(2(2(2(x1))))))))))))))))) 3(2(0(3(2(0(2(3(1(0(3(2(3(x1))))))))))))) -> 2(1(1(1(3(2(2(0(0(2(3(2(1(2(2(1(3(x1))))))))))))))))) Proof: String Reversal Processor: 3(2(3(0(1(2(2(1(0(0(0(0(0(x1))))))))))))) -> 2(3(1(2(2(0(2(1(0(2(2(0(3(2(2(1(1(x1))))))))))))))))) 0(3(0(2(1(2(0(1(2(3(2(0(0(x1))))))))))))) -> 0(0(2(2(2(0(3(2(2(3(3(3(2(2(2(2(3(x1))))))))))))))))) 0(2(0(3(0(2(3(0(1(2(0(1(0(x1))))))))))))) -> 0(2(3(0(2(0(1(0(2(2(2(3(2(2(3(3(0(x1))))))))))))))))) 3(1(1(1(0(3(2(2(0(2(2(1(0(x1))))))))))))) -> 1(1(2(2(0(0(2(0(3(2(1(3(1(2(2(2(0(x1))))))))))))))))) 2(3(1(3(2(1(2(0(0(2(0(3(0(x1))))))))))))) -> 2(3(0(2(2(0(0(0(2(0(3(1(1(2(2(0(1(x1))))))))))))))))) 3(2(1(2(3(0(1(0(0(1(2(2(1(x1))))))))))))) -> 1(2(0(0(2(2(2(0(2(2(0(3(3(1(2(2(1(x1))))))))))))))))) 2(2(0(3(1(3(2(1(1(1(0(3(1(x1))))))))))))) -> 1(2(2(0(2(3(2(2(2(1(1(0(2(2(0(2(0(x1))))))))))))))))) 3(0(0(2(2(2(3(1(0(1(3(3(1(x1))))))))))))) -> 1(0(2(2(1(0(2(2(2(0(0(0(2(2(1(2(0(x1))))))))))))))))) 3(0(2(1(1(1(1(0(2(2(3(3(1(x1))))))))))))) -> 1(2(1(3(1(2(2(1(1(2(0(2(3(2(2(2(1(x1))))))))))))))))) 1(3(3(2(2(1(3(2(2(3(3(3(1(x1))))))))))))) -> 1(3(1(2(2(2(0(0(2(2(0(3(2(1(2(1(2(x1))))))))))))))))) 2(3(2(2(3(2(3(0(2(1(0(0(2(x1))))))))))))) -> 2(0(2(0(0(0(2(2(3(1(2(2(0(3(2(0(2(x1))))))))))))))))) 1(2(3(0(1(2(3(2(3(2(0(0(2(x1))))))))))))) -> 1(2(3(2(2(3(1(2(2(2(2(0(0(0(0(0(2(x1))))))))))))))))) 0(3(3(0(0(3(0(2(2(0(1(0(2(x1))))))))))))) -> 0(2(0(2(2(2(1(3(2(1(1(3(2(0(2(0(2(x1))))))))))))))))) 1(0(1(0(0(0(2(3(1(1(1(0(2(x1))))))))))))) -> 0(0(0(1(2(0(2(3(2(0(2(2(2(2(2(1(2(x1))))))))))))))))) 1(2(2(2(2(1(3(0(1(3(3(0(2(x1))))))))))))) -> 2(2(1(1(0(0(2(2(3(2(2(1(0(1(3(2(2(x1))))))))))))))))) 2(3(2(1(1(3(0(0(3(3(0(1(2(x1))))))))))))) -> 2(1(3(1(1(3(1(2(2(2(0(0(1(3(1(1(2(x1))))))))))))))))) 0(3(0(2(1(1(1(1(1(2(1(1(2(x1))))))))))))) -> 0(1(0(2(3(1(0(2(2(0(2(0(0(1(1(1(2(x1))))))))))))))))) 2(3(1(3(3(0(0(3(2(2(1(1(2(x1))))))))))))) -> 2(2(0(2(3(2(2(3(2(3(0(2(0(1(3(1(2(x1))))))))))))))))) 0(2(1(0(0(1(3(3(2(3(1(1(2(x1))))))))))))) -> 3(2(2(3(0(1(2(2(1(1(2(2(2(1(3(3(2(x1))))))))))))))))) 3(1(2(0(0(0(1(0(3(3(1(1(2(x1))))))))))))) -> 0(3(2(0(0(2(3(2(1(2(0(3(1(2(2(0(2(x1))))))))))))))))) 1(1(3(3(2(3(3(2(1(3(2(1(2(x1))))))))))))) -> 2(1(3(0(2(0(1(0(2(1(2(2(0(0(3(2(2(x1))))))))))))))))) 3(3(1(1(1(3(3(2(3(2(0(2(2(x1))))))))))))) -> 2(2(2(2(3(2(3(1(1(3(3(3(2(2(2(2(2(x1))))))))))))))))) 1(1(1(1(0(3(3(3(2(0(1(2(2(x1))))))))))))) -> 2(2(2(2(3(2(2(3(2(2(0(2(1(3(2(0(2(x1))))))))))))))))) 1(0(3(3(0(1(1(0(2(1(1(2(2(x1))))))))))))) -> 0(2(2(1(3(2(0(2(2(1(0(0(0(1(2(2(0(x1))))))))))))))))) 1(0(0(1(0(2(3(1(3(1(1(2(2(x1))))))))))))) -> 1(1(0(3(2(2(0(0(3(0(3(1(2(2(0(0(0(x1))))))))))))))))) 1(1(2(0(3(2(1(2(1(0(0(3(2(x1))))))))))))) -> 2(2(0(0(2(2(0(2(3(0(3(3(1(0(2(2(2(x1))))))))))))))))) 3(2(0(1(3(0(0(0(0(0(2(3(2(x1))))))))))))) -> 2(3(1(3(1(2(3(1(1(1(2(2(2(0(0(3(2(x1))))))))))))))))) 3(1(0(2(2(2(3(3(2(2(1(0(3(x1))))))))))))) -> 1(2(2(0(0(3(1(2(2(0(2(2(0(2(2(1(3(x1))))))))))))))))) 3(2(1(2(1(2(0(3(2(1(2(1(3(x1))))))))))))) -> 2(2(2(1(0(2(2(3(1(0(1(3(2(2(2(0(0(x1))))))))))))))))) 3(2(3(0(1(3(2(0(2(3(0(2(3(x1))))))))))))) -> 3(1(2(2(1(2(3(2(0(0(2(2(3(1(1(1(2(x1))))))))))))))))) Bounds Processor: bound: 0 enrichment: match automaton: final states: {443,428,412,397,383,367,353,340,325,311,297,281,266, 252,237,221,207,193,178,162,145,131,116,101,85,69, 53,36,19,1} transitions: 20(164) -> 298* 20(128) -> 129* 20(279) -> 280* 20(359) -> 360* 20(4) -> 5* 20(222) -> 326* 20(269) -> 270* 20(295) -> 296* 20(226) -> 227* 20(289) -> 290* 20(133) -> 134* 20(23) -> 24* 20(420) -> 421* 20(305) -> 306* 20(236) -> 221* 20(230) -> 231* 20(183) -> 184* 20(419) -> 420* 20(361) -> 362* 20(392) -> 393* 20(203) -> 204* 20(40) -> 41* 20(351) -> 352* 20(334) -> 335* 20(399) -> 400* 20(341) -> 342* 20(358) -> 359* 20(242) -> 243* 20(430) -> 431* 20(3) -> 86* 20(185) -> 186* 20(182) -> 183* 20(210) -> 211* 20(205) -> 206* 20(337) -> 338* 20(167) -> 168* 20(301) -> 302* 20(416) -> 417* 20(303) -> 304* 20(143) -> 144* 20(191) -> 192* 20(411) -> 397* 20(102) -> 103* 20(156) -> 157* 20(62) -> 63* 20(27) -> 28* 20(425) -> 426* 20(43) -> 44* 20(370) -> 371* 20(39) -> 40* 20(9) -> 10* 20(114) -> 115* 20(377) -> 378* 20(139) -> 140* 20(65) -> 66* 20(111) -> 112* 20(32) -> 33* 20(149) -> 150* 20(37) -> 54* 20(285) -> 286* 20(429) -> 430* 20(244) -> 245* 20(184) -> 185* 20(123) -> 124* 20(349) -> 350* 20(21) -> 22* 20(216) -> 217* 20(2) -> 146* 20(12) -> 13* 20(272) -> 273* 20(42) -> 43* 20(31) -> 32* 20(441) -> 442* 20(135) -> 136* 20(352) -> 340* 20(316) -> 317* 20(59) -> 60* 20(157) -> 158* 20(258) -> 259* 20(442) -> 428* 20(417) -> 418* 20(147) -> 148* 20(84) -> 69* 20(389) -> 390* 20(320) -> 321* 20(445) -> 446* 20(452) -> 453* 20(344) -> 345* 20(91) -> 92* 20(368) -> 429* 20(28) -> 29* 20(92) -> 93* 20(327) -> 328* 20(437) -> 438* 20(51) -> 52* 20(108) -> 109* 20(87) -> 132* 20(314) -> 315* 20(284) -> 285* 20(313) -> 314* 20(55) -> 56* 20(18) -> 1* 20(251) -> 237* 20(277) -> 278* 20(369) -> 370* 20(81) -> 82* 20(14) -> 15* 20(308) -> 309* 20(86) -> 87* 20(364) -> 365* 20(257) -> 258* 20(80) -> 81* 20(171) -> 172* 20(286) -> 287* 20(20) -> 21* 20(436) -> 437* 20(208) -> 209* 20(275) -> 276* 20(117) -> 118* 20(153) -> 154* 20(5) -> 6* 20(426) -> 427* 20(122) -> 123* 20(414) -> 415* 20(96) -> 97* 20(453) -> 454* 20(448) -> 449* 20(113) -> 114* 20(212) -> 213* 20(33) -> 34* 20(175) -> 176* 20(338) -> 339* 20(290) -> 291* 20(255) -> 256* 20(274) -> 275* 20(201) -> 202* 20(198) -> 199* 20(202) -> 203* 20(326) -> 327* 20(188) -> 189* 20(400) -> 401* 20(170) -> 171* 20(70) -> 71* 20(124) -> 125* 20(48) -> 49* 20(365) -> 366* 20(127) -> 128* 20(76) -> 77* 20(15) -> 16* 20(395) -> 396* 20(166) -> 167* 20(177) -> 162* 20(158) -> 159* 20(346) -> 347* 20(347) -> 348* 20(378) -> 379* 20(444) -> 445* 20(99) -> 100* 20(280) -> 266* 20(324) -> 311* 20(118) -> 119* 20(391) -> 392* 20(163) -> 164* 20(54) -> 55* 20(138) -> 139* 20(214) -> 215* 20(229) -> 230* 20(227) -> 228* 20(95) -> 96* 20(8) -> 9* 20(189) -> 190* 20(406) -> 407* 20(194) -> 195* 20(336) -> 337* 20(146) -> 222* 20(107) -> 108* 20(71) -> 72* 20(343) -> 344* 20(440) -> 441* 20(94) -> 95* 20(294) -> 295* 20(209) -> 210* 20(103) -> 104* 20(396) -> 383* 20(401) -> 402* 20(262) -> 263* 20(109) -> 110* 20(350) -> 351* 20(148) -> 208* 20(243) -> 244* 20(339) -> 325* 20(235) -> 236* 20(66) -> 67* 20(22) -> 23* 20(450) -> 451* 20(413) -> 414* 20(152) -> 153* 20(44) -> 45* 10(168) -> 169* 10(432) -> 433* 10(427) -> 412* 10(115) -> 101* 10(72) -> 73* 10(68) -> 53* 10(148) -> 149* 10(200) -> 201* 10(283) -> 284* 10(287) -> 288* 10(106) -> 107* 10(144) -> 131* 10(58) -> 59* 10(16) -> 17* 10(357) -> 358* 10(454) -> 455* 10(186) -> 187* 10(142) -> 143* 10(73) -> 74* 10(126) -> 127* 10(381) -> 382* 10(20) -> 413* 10(382) -> 367* 10(409) -> 410* 10(302) -> 303* 10(267) -> 268* 10(165) -> 341* 10(439) -> 440* 10(407) -> 408* 10(137) -> 138* 10(130) -> 116* 10(161) -> 145* 10(421) -> 422* 10(140) -> 141* 10(136) -> 137* 10(238) -> 253* 10(100) -> 85* 10(245) -> 246* 10(87) -> 88* 10(192) -> 178* 10(147) -> 238* 10(11) -> 12* 10(264) -> 265* 10(3) -> 4* 10(223) -> 224* 10(315) -> 316* 10(404) -> 405* 10(248) -> 249* 10(403) -> 404* 10(402) -> 403* 10(234) -> 235* 10(233) -> 234* 10(159) -> 160* 10(217) -> 218* 10(239) -> 240* 10(291) -> 292* 10(247) -> 248* 10(55) -> 354* 10(323) -> 324* 10(225) -> 226* 10(451) -> 452* 10(67) -> 68* 10(260) -> 261* 10(54) -> 117* 10(105) -> 106* 10(146) -> 147* 10(197) -> 198* 10(331) -> 332* 10(288) -> 289* 10(371) -> 372* 10(363) -> 364* 10(332) -> 333* 10(56) -> 57* 10(196) -> 197* 10(46) -> 47* 10(250) -> 251* 10(298) -> 299* 10(318) -> 319* 10(434) -> 435* 10(384) -> 385* 10(2) -> 3* 30(89) -> 90* 30(41) -> 42* 30(195) -> 196* 30(348) -> 349* 30(190) -> 191* 30(6) -> 7* 30(385) -> 386* 30(253) -> 444* 30(322) -> 323* 30(17) -> 18* 30(362) -> 363* 30(330) -> 331* 30(238) -> 239* 30(60) -> 61* 30(110) -> 111* 30(304) -> 305* 30(379) -> 380* 30(150) -> 151* 30(345) -> 346* 30(249) -> 250* 30(329) -> 330* 30(74) -> 75* 30(431) -> 432* 30(435) -> 436* 30(25) -> 26* 30(83) -> 84* 30(282) -> 283* 30(261) -> 262* 30(160) -> 161* 30(141) -> 142* 30(388) -> 389* 30(422) -> 423* 30(228) -> 229* 30(2) -> 20* 30(328) -> 329* 30(147) -> 267* 30(333) -> 334* 30(38) -> 39* 30(187) -> 188* 30(372) -> 373* 30(455) -> 443* 30(57) -> 58* 30(293) -> 294* 30(146) -> 282* 30(199) -> 200* 30(386) -> 387* 30(374) -> 375* 30(276) -> 277* 30(449) -> 450* 30(213) -> 214* 30(410) -> 411* 30(309) -> 310* 30(88) -> 89* 30(299) -> 300* 30(271) -> 272* 30(29) -> 30* 30(405) -> 406* 30(26) -> 27* 30(222) -> 223* 30(24) -> 25* 30(335) -> 336* 30(50) -> 51* 30(37) -> 38* 30(296) -> 281* 30(273) -> 274* 30(132) -> 133* 30(169) -> 170* 30(408) -> 409* 30(246) -> 247* 30(164) -> 165* f40() -> 2* 00(424) -> 425* 00(52) -> 36* 00(240) -> 241* 00(211) -> 212* 00(254) -> 255* 00(354) -> 355* 00(256) -> 257* 00(2) -> 37* 00(321) -> 322* 00(93) -> 94* 00(10) -> 11* 00(360) -> 361* 00(373) -> 374* 00(119) -> 120* 00(317) -> 318* 00(181) -> 182* 00(380) -> 381* 00(446) -> 447* 00(13) -> 14* 00(375) -> 376* 00(49) -> 50* 00(438) -> 439* 00(355) -> 356* 00(223) -> 312* 00(215) -> 216* 00(253) -> 254* 00(300) -> 301* 00(224) -> 225* 00(61) -> 62* 00(180) -> 181* 00(146) -> 163* 00(390) -> 391* 00(54) -> 102* 00(204) -> 205* 00(232) -> 233* 00(163) -> 179* 00(415) -> 416* 00(387) -> 388* 00(154) -> 155* 00(104) -> 105* 00(121) -> 122* 00(64) -> 65* 00(164) -> 194* 00(97) -> 98* 00(259) -> 260* 00(172) -> 173* 00(47) -> 48* 00(3) -> 70* 00(82) -> 83* 00(398) -> 399* 00(282) -> 398* 00(75) -> 76* 00(268) -> 269* 00(263) -> 264* 00(90) -> 91* 00(312) -> 313* 00(129) -> 130* 00(176) -> 177* 00(433) -> 434* 00(393) -> 394* 00(155) -> 156* 00(120) -> 121* 00(77) -> 78* 00(79) -> 80* 00(342) -> 343* 00(134) -> 135* 00(307) -> 308* 00(231) -> 232* 00(220) -> 207* 00(265) -> 252* 00(125) -> 126* 00(423) -> 424* 00(112) -> 113* 00(34) -> 35* 00(356) -> 357* 00(179) -> 180* 00(45) -> 46* 00(174) -> 175* 00(35) -> 19* 00(418) -> 419* 00(310) -> 297* 00(278) -> 279* 00(368) -> 369* 00(173) -> 174* 00(7) -> 8* 00(394) -> 395* 00(292) -> 293* 00(37) -> 368* 00(30) -> 31* 00(63) -> 64* 00(447) -> 448* 00(270) -> 271* 00(78) -> 79* 00(218) -> 219* 00(306) -> 307* 00(366) -> 353* 00(165) -> 166* 00(206) -> 193* 00(319) -> 320* 00(241) -> 242* 00(376) -> 377* 00(219) -> 220* 00(151) -> 152* 00(98) -> 99* 00(326) -> 384* 266 -> 146,21 367 -> 3* 19 -> 37* 412 -> 20,386 131 -> 20,38 353 -> 3* 340 -> 3,4 162 -> 146,21 69 -> 146,21 85 -> 20,282 281 -> 37,163 252 -> 37* 53 -> 20* 237 -> 146,21 116 -> 20,38 311 -> 3,4 207 -> 3* 178 -> 3,147 36 -> 37,163,102 297 -> 20,267 428 -> 20,282,151 101 -> 146,222,55 1 -> 20,282 397 -> 20,282 193 -> 37* 325 -> 20* 443 -> 20,282 145 -> 3,413,284 383 -> 3,4,238 221 -> 3,147 problem: Qed