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