YES Problem: 0(1(4(x1))) -> 5(5(4(0(2(2(0(2(5(4(x1)))))))))) 0(4(1(x1))) -> 5(2(2(3(5(3(2(2(5(4(x1)))))))))) 1(4(1(x1))) -> 1(4(4(2(0(3(5(4(4(5(x1)))))))))) 0(1(1(1(x1)))) -> 0(3(5(1(2(0(3(2(4(5(x1)))))))))) 4(1(0(0(x1)))) -> 1(4(0(5(4(2(5(5(3(0(x1)))))))))) 4(1(1(3(x1)))) -> 4(5(2(0(5(2(3(5(4(2(x1)))))))))) 0(1(1(2(0(x1))))) -> 3(2(3(2(3(5(4(5(2(0(x1)))))))))) 0(3(0(1(3(x1))))) -> 2(0(3(5(5(0(1(2(1(2(x1)))))))))) 0(4(4(1(3(x1))))) -> 4(5(4(5(0(5(4(5(5(2(x1)))))))))) 1(0(4(1(0(x1))))) -> 2(3(0(2(3(4(2(0(4(0(x1)))))))))) 1(1(4(3(1(x1))))) -> 1(4(2(0(5(4(4(5(5(3(x1)))))))))) 0(0(0(4(3(1(x1)))))) -> 2(3(2(0(0(4(2(4(3(3(x1)))))))))) 0(1(1(1(1(3(x1)))))) -> 3(1(2(3(2(3(4(1(3(3(x1)))))))))) 0(1(3(4(3(1(x1)))))) -> 1(5(4(5(2(2(0(3(5(1(x1)))))))))) 0(1(4(5(1(3(x1)))))) -> 2(0(5(3(2(3(1(5(0(3(x1)))))))))) 0(1(5(0(0(0(x1)))))) -> 5(2(1(0(1(0(5(4(0(0(x1)))))))))) 0(3(1(1(1(1(x1)))))) -> 0(3(3(1(3(0(3(2(3(3(x1)))))))))) 0(3(4(0(1(0(x1)))))) -> 1(2(3(5(3(5(2(5(4(0(x1)))))))))) 1(0(0(1(1(1(x1)))))) -> 1(1(5(5(3(3(3(0(0(2(x1)))))))))) 1(0(5(1(3(0(x1)))))) -> 3(2(3(0(1(0(2(0(0(3(x1)))))))))) 1(3(1(1(4(1(x1)))))) -> 2(5(0(3(2(5(4(5(4(4(x1)))))))))) 2(5(3(4(3(2(x1)))))) -> 2(5(2(0(5(4(3(3(3(2(x1)))))))))) 3(0(4(1(0(3(x1)))))) -> 5(2(3(3(0(2(1(0(3(0(x1)))))))))) 3(1(0(1(5(5(x1)))))) -> 5(4(2(0(0(0(3(3(5(5(x1)))))))))) 4(5(1(1(3(1(x1)))))) -> 4(4(5(5(2(2(4(5(4(0(x1)))))))))) 5(1(3(4(1(2(x1)))))) -> 0(4(4(2(0(0(5(5(2(2(x1)))))))))) 5(2(4(4(1(3(x1)))))) -> 5(5(5(0(5(2(2(2(1(2(x1)))))))))) 0(0(0(0(4(4(3(x1))))))) -> 1(5(4(4(4(3(1(5(0(5(x1)))))))))) 0(0(4(1(1(0(3(x1))))))) -> 2(1(2(0(3(5(0(1(0(3(x1)))))))))) 0(3(4(1(1(0(0(x1))))))) -> 3(3(3(0(1(1(4(3(5(0(x1)))))))))) 1(0(3(2(1(3(1(x1))))))) -> 2(1(3(5(5(3(5(5(1(4(x1)))))))))) 1(1(0(3(5(1(3(x1))))))) -> 2(5(3(5(5(4(4(1(3(3(x1)))))))))) 1(1(3(1(1(3(0(x1))))))) -> 2(3(1(2(4(5(2(0(0(0(x1)))))))))) 1(1(3(4(1(3(5(x1))))))) -> 2(5(5(2(1(2(1(5(2(5(x1)))))))))) 1(3(3(4(0(5(2(x1))))))) -> 4(5(4(3(4(2(5(5(2(2(x1)))))))))) 1(3(4(0(4(3(2(x1))))))) -> 2(3(1(1(5(4(0(3(5(2(x1)))))))))) 1(5(1(1(3(5(2(x1))))))) -> 0(1(0(3(3(2(4(3(2(2(x1)))))))))) 1(5(3(1(3(4(4(x1))))))) -> 2(5(4(5(1(1(5(4(1(4(x1)))))))))) 2(1(3(4(3(1(1(x1))))))) -> 5(4(4(1(4(1(4(4(1(5(x1)))))))))) 3(0(4(5(0(0(4(x1))))))) -> 3(0(5(0(0(2(0(0(0(4(x1)))))))))) 3(4(0(0(1(3(0(x1))))))) -> 4(4(3(0(3(2(4(2(2(0(x1)))))))))) 4(0(1(4(3(2(0(x1))))))) -> 4(5(0(2(0(3(3(3(3(0(x1)))))))))) 4(0(4(0(3(4(4(x1))))))) -> 4(4(4(3(5(1(4(1(4(4(x1)))))))))) 4(0(4(3(2(1(0(x1))))))) -> 1(4(2(3(5(5(3(2(3(5(x1)))))))))) 5(1(3(4(1(3(1(x1))))))) -> 1(5(4(4(3(4(3(0(1(2(x1)))))))))) 5(1(4(4(3(0(0(x1))))))) -> 5(0(2(5(4(2(5(2(2(0(x1)))))))))) 5(5(0(0(4(1(5(x1))))))) -> 5(4(3(2(0(2(5(5(5(5(x1)))))))))) Proof: String Reversal Processor: 4(1(0(x1))) -> 4(5(2(0(2(2(0(4(5(5(x1)))))))))) 1(4(0(x1))) -> 4(5(2(2(3(5(3(2(2(5(x1)))))))))) 1(4(1(x1))) -> 5(4(4(5(3(0(2(4(4(1(x1)))))))))) 1(1(1(0(x1)))) -> 5(4(2(3(0(2(1(5(3(0(x1)))))))))) 0(0(1(4(x1)))) -> 0(3(5(5(2(4(5(0(4(1(x1)))))))))) 3(1(1(4(x1)))) -> 2(4(5(3(2(5(0(2(5(4(x1)))))))))) 0(2(1(1(0(x1))))) -> 0(2(5(4(5(3(2(3(2(3(x1)))))))))) 3(1(0(3(0(x1))))) -> 2(1(2(1(0(5(5(3(0(2(x1)))))))))) 3(1(4(4(0(x1))))) -> 2(5(5(4(5(0(5(4(5(4(x1)))))))))) 0(1(4(0(1(x1))))) -> 0(4(0(2(4(3(2(0(3(2(x1)))))))))) 1(3(4(1(1(x1))))) -> 3(5(5(4(4(5(0(2(4(1(x1)))))))))) 1(3(4(0(0(0(x1)))))) -> 3(3(4(2(4(0(0(2(3(2(x1)))))))))) 3(1(1(1(1(0(x1)))))) -> 3(3(1(4(3(2(3(2(1(3(x1)))))))))) 1(3(4(3(1(0(x1)))))) -> 1(5(3(0(2(2(5(4(5(1(x1)))))))))) 3(1(5(4(1(0(x1)))))) -> 3(0(5(1(3(2(3(5(0(2(x1)))))))))) 0(0(0(5(1(0(x1)))))) -> 0(0(4(5(0(1(0(1(2(5(x1)))))))))) 1(1(1(1(3(0(x1)))))) -> 3(3(2(3(0(3(1(3(3(0(x1)))))))))) 0(1(0(4(3(0(x1)))))) -> 0(4(5(2(5(3(5(3(2(1(x1)))))))))) 1(1(1(0(0(1(x1)))))) -> 2(0(0(3(3(3(5(5(1(1(x1)))))))))) 0(3(1(5(0(1(x1)))))) -> 3(0(0(2(0(1(0(3(2(3(x1)))))))))) 1(4(1(1(3(1(x1)))))) -> 4(4(5(4(5(2(3(0(5(2(x1)))))))))) 2(3(4(3(5(2(x1)))))) -> 2(3(3(3(4(5(0(2(5(2(x1)))))))))) 3(0(1(4(0(3(x1)))))) -> 0(3(0(1(2(0(3(3(2(5(x1)))))))))) 5(5(1(0(1(3(x1)))))) -> 5(5(3(3(0(0(0(2(4(5(x1)))))))))) 1(3(1(1(5(4(x1)))))) -> 0(4(5(4(2(2(5(5(4(4(x1)))))))))) 2(1(4(3(1(5(x1)))))) -> 2(2(5(5(0(0(2(4(4(0(x1)))))))))) 3(1(4(4(2(5(x1)))))) -> 2(1(2(2(2(5(0(5(5(5(x1)))))))))) 3(4(4(0(0(0(0(x1))))))) -> 5(0(5(1(3(4(4(4(5(1(x1)))))))))) 3(0(1(1(4(0(0(x1))))))) -> 3(0(1(0(5(3(0(2(1(2(x1)))))))))) 0(0(1(1(4(3(0(x1))))))) -> 0(5(3(4(1(1(0(3(3(3(x1)))))))))) 1(3(1(2(3(0(1(x1))))))) -> 4(1(5(5(3(5(5(3(1(2(x1)))))))))) 3(1(5(3(0(1(1(x1))))))) -> 3(3(1(4(4(5(5(3(5(2(x1)))))))))) 0(3(1(1(3(1(1(x1))))))) -> 0(0(0(2(5(4(2(1(3(2(x1)))))))))) 5(3(1(4(3(1(1(x1))))))) -> 5(2(5(1(2(1(2(5(5(2(x1)))))))))) 2(5(0(4(3(3(1(x1))))))) -> 2(2(5(5(2(4(3(4(5(4(x1)))))))))) 2(3(4(0(4(3(1(x1))))))) -> 2(5(3(0(4(5(1(1(3(2(x1)))))))))) 2(5(3(1(1(5(1(x1))))))) -> 2(2(3(4(2(3(3(0(1(0(x1)))))))))) 4(4(3(1(3(5(1(x1))))))) -> 4(1(4(5(1(1(5(4(5(2(x1)))))))))) 1(1(3(4(3(1(2(x1))))))) -> 5(1(4(4(1(4(1(4(4(5(x1)))))))))) 4(0(0(5(4(0(3(x1))))))) -> 4(0(0(0(2(0(0(5(0(3(x1)))))))))) 0(3(1(0(0(4(3(x1))))))) -> 0(2(2(4(2(3(0(3(4(4(x1)))))))))) 0(2(3(4(1(0(4(x1))))))) -> 0(3(3(3(3(0(2(0(5(4(x1)))))))))) 4(4(3(0(4(0(4(x1))))))) -> 4(4(1(4(1(5(3(4(4(4(x1)))))))))) 0(1(2(3(4(0(4(x1))))))) -> 5(3(2(3(5(5(3(2(4(1(x1)))))))))) 1(3(1(4(3(1(5(x1))))))) -> 2(1(0(3(4(3(4(4(5(1(x1)))))))))) 0(0(3(4(4(1(5(x1))))))) -> 0(2(2(5(2(4(5(2(0(5(x1)))))))))) 5(1(4(0(0(5(5(x1))))))) -> 5(5(5(5(2(0(2(3(4(5(x1)))))))))) Bounds Processor: bound: 1 enrichment: match automaton: final states: {390,381,375,368,360,352,344,335,327,319,310,303,296, 288,280,272,264,255,246,239,231,222,213,204,196,188, 179,172,163,154,146,138,130,121,112,104,96,87,79,69, 59,49,41,31,21,12,1} transitions: 30(371) -> 372* 30(168) -> 169* 30(2) -> 60* 30(71) -> 72* 30(178) -> 172* 30(55) -> 56* 30(127) -> 128* 30(111) -> 104* 30(377) -> 378* 30(312) -> 313* 30(313) -> 314* 30(37) -> 38* 30(214) -> 345* 30(33) -> 147* 30(205) -> 391* 30(180) -> 273* 30(361) -> 362* 30(210) -> 211* 30(114) -> 115* 30(247) -> 265* 30(131) -> 132* 30(254) -> 246* 30(110) -> 111* 30(32) -> 33* 30(150) -> 151* 30(197) -> 198* 30(137) -> 130* 30(70) -> 88* 30(261) -> 262* 30(133) -> 134* 30(240) -> 376* 30(346) -> 347* 30(80) -> 297* 30(256) -> 257* 30(16) -> 17* 30(103) -> 96* 30(14) -> 15* 30(119) -> 120* 30(267) -> 268* 30(307) -> 308* 30(193) -> 194* 30(249) -> 250* 30(194) -> 195* 30(357) -> 358* 30(116) -> 117* 30(209) -> 210* 30(155) -> 156* 30(181) -> 182* 30(167) -> 168* 30(316) -> 317* 30(166) -> 167* 30(148) -> 149* 30(356) -> 357* 30(13) -> 197* 30(90) -> 91* 30(373) -> 374* 30(355) -> 356* 30(157) -> 158* 30(241) -> 242* 30(202) -> 203* 30(60) -> 256* 30(26) -> 27* 30(152) -> 153* 30(358) -> 359* 30(63) -> 64* 30(153) -> 146* 30(61) -> 62* 30(278) -> 279* 30(192) -> 193* 30(279) -> 272* 30(120) -> 112* 30(97) -> 369* 30(47) -> 48* 31(447) -> 448* 31(425) -> 426* 31(414) -> 415* 41(428) -> 429* 41(444) -> 445* 41(416) -> 417* 41(427) -> 428* 41(417) -> 418* 41(449) -> 450* 41(450) -> 451* 41(422) -> 423* 41(421) -> 422* 41(443) -> 444* 41(410) -> 411* 41(411) -> 412* 40(297) -> 298* 40(326) -> 319* 40(122) -> 123* 40(109) -> 110* 40(367) -> 360* 40(187) -> 179* 40(343) -> 335* 40(186) -> 187* 40(143) -> 144* 40(276) -> 277* 40(57) -> 58* 40(39) -> 40* 40(20) -> 12* 40(205) -> 328* 40(22) -> 23* 40(240) -> 241* 40(180) -> 320* 40(29) -> 30* 40(305) -> 306* 40(161) -> 162* 40(324) -> 325* 40(32) -> 223* 40(94) -> 95* 40(23) -> 24* 40(100) -> 101* 40(83) -> 84* 40(218) -> 219* 40(11) -> 1* 40(214) -> 361* 40(282) -> 283* 40(3) -> 205* 40(223) -> 224* 40(315) -> 316* 40(366) -> 367* 40(4) -> 5* 40(43) -> 44* 40(107) -> 108* 40(376) -> 377* 40(220) -> 221* 40(348) -> 349* 40(99) -> 100* 40(191) -> 192* 40(260) -> 261* 40(50) -> 214* 40(364) -> 365* 40(271) -> 264* 40(184) -> 185* 40(331) -> 332* 40(65) -> 66* 40(332) -> 333* 40(91) -> 92* 40(117) -> 118* 40(275) -> 276* 40(123) -> 240* 40(329) -> 330* 40(28) -> 29* 40(384) -> 385* 40(51) -> 80* 40(2) -> 50* 00(5) -> 6* 00(208) -> 209* 00(149) -> 150* 00(81) -> 82* 00(248) -> 249* 00(341) -> 342* 00(52) -> 53* 00(3) -> 382* 00(226) -> 227* 00(189) -> 190* 00(145) -> 138* 00(206) -> 207* 00(180) -> 181* 00(306) -> 307* 00(221) -> 213* 00(285) -> 286* 00(170) -> 171* 00(244) -> 245* 00(62) -> 173* 00(257) -> 258* 00(351) -> 344* 00(169) -> 170* 00(97) -> 98* 00(139) -> 140* 00(359) -> 352* 00(23) -> 42* 00(342) -> 343* 00(251) -> 252* 00(68) -> 59* 00(93) -> 94* 00(36) -> 37* 00(253) -> 254* 00(287) -> 280* 00(105) -> 106* 00(126) -> 127* 00(141) -> 142* 00(106) -> 107* 00(176) -> 177* 00(203) -> 196* 00(60) -> 336* 00(207) -> 208* 00(8) -> 9* 00(198) -> 199* 00(378) -> 379* 00(70) -> 71* 00(232) -> 233* 00(345) -> 346* 00(286) -> 287* 00(174) -> 175* 00(144) -> 145* 00(136) -> 137* 00(263) -> 255* 00(162) -> 154* 00(88) -> 89* 00(48) -> 41* 00(389) -> 381* 00(337) -> 338* 00(201) -> 202* 00(51) -> 353* 00(392) -> 393* 00(354) -> 355* 00(225) -> 226* 00(311) -> 312* 00(340) -> 341* 00(74) -> 75* 00(177) -> 178* 00(95) -> 87* 00(338) -> 339* 00(25) -> 26* 00(2) -> 32* 51(429) -> 430* 51(415) -> 416* 51(451) -> 452* 51(448) -> 449* 51(426) -> 427* 51(418) -> 419* 20(132) -> 133* 20(235) -> 236* 20(38) -> 39* 20(393) -> 394* 20(217) -> 218* 20(54) -> 55* 20(291) -> 292* 20(216) -> 217* 20(385) -> 386* 20(294) -> 295* 20(17) -> 18* 20(23) -> 97* 20(298) -> 299* 20(2) -> 70* 20(22) -> 155* 20(182) -> 183* 20(391) -> 392* 20(124) -> 125* 20(309) -> 303* 20(318) -> 310* 20(88) -> 105* 20(349) -> 350* 20(13) -> 14* 20(281) -> 282* 20(205) -> 206* 20(76) -> 77* 20(171) -> 163* 20(284) -> 285* 20(230) -> 222* 20(62) -> 63* 20(236) -> 237* 20(247) -> 248* 20(382) -> 383* 20(60) -> 61* 20(6) -> 7* 20(302) -> 296* 20(151) -> 152* 20(314) -> 315* 20(289) -> 290* 20(9) -> 10* 20(113) -> 114* 20(199) -> 200* 20(18) -> 19* 20(108) -> 109* 20(238) -> 231* 20(339) -> 340* 20(388) -> 389* 20(347) -> 348* 20(159) -> 160* 20(89) -> 90* 20(24) -> 25* 20(58) -> 49* 20(125) -> 126* 20(224) -> 225* 20(195) -> 188* 20(44) -> 45* 20(86) -> 79* 20(7) -> 8* 20(3) -> 13* 20(350) -> 351* 20(353) -> 354* 20(317) -> 318* 20(301) -> 302* 20(234) -> 235* 20(380) -> 375* 20(92) -> 93* 20(372) -> 373* 20(78) -> 69* 20(229) -> 230* 20(387) -> 388* 20(180) -> 189* 20(67) -> 68* 20(35) -> 36* 20(115) -> 116* 20(175) -> 176* 20(51) -> 52* 21(412) -> 413* 21(423) -> 424* 21(445) -> 446* 50(190) -> 191* 50(22) -> 122* 50(66) -> 67* 50(211) -> 212* 50(362) -> 363* 50(214) -> 215* 50(4) -> 232* 50(233) -> 234* 50(269) -> 270* 50(2) -> 3* 50(10) -> 11* 50(336) -> 337* 50(374) -> 368* 50(71) -> 131* 50(53) -> 54* 50(135) -> 136* 50(273) -> 274* 50(27) -> 28* 50(15) -> 16* 50(215) -> 216* 50(102) -> 103* 50(300) -> 301* 50(72) -> 73* 50(180) -> 289* 50(80) -> 81* 50(128) -> 129* 50(50) -> 51* 50(334) -> 327* 50(101) -> 102* 50(304) -> 305* 50(308) -> 309* 50(396) -> 397* 50(64) -> 65* 50(164) -> 165* 50(40) -> 31* 50(243) -> 244* 50(266) -> 267* 50(299) -> 300* 50(3) -> 4* 50(82) -> 83* 50(370) -> 371* 50(397) -> 390* 50(274) -> 275* 50(268) -> 269* 50(46) -> 47* 50(56) -> 57* 50(185) -> 186* 50(228) -> 229* 50(323) -> 324* 50(283) -> 284* 50(158) -> 159* 50(395) -> 396* 50(320) -> 321* 50(265) -> 266* 50(386) -> 387* 50(262) -> 263* 50(84) -> 85* 50(45) -> 46* 50(383) -> 384* 50(293) -> 294* 50(394) -> 395* 50(156) -> 157* 50(85) -> 86* 50(142) -> 143* 50(212) -> 204* 50(19) -> 20* 50(160) -> 161* 50(183) -> 184* 50(30) -> 21* 50(250) -> 251* 50(42) -> 43* 50(123) -> 124* 50(245) -> 239* 50(165) -> 166* 50(70) -> 180* 50(73) -> 74* 50(219) -> 220* 50(227) -> 228* 50(33) -> 34* 50(369) -> 370* 50(98) -> 99* 50(295) -> 288* 11(420) -> 421* 11(442) -> 443* 11(409) -> 410* 01(413) -> 414* 01(424) -> 425* 01(446) -> 447* 10(379) -> 380* 10(13) -> 139* 10(134) -> 135* 10(259) -> 260* 10(363) -> 364* 10(292) -> 293* 10(129) -> 121* 10(75) -> 76* 10(2) -> 22* 10(281) -> 304* 10(252) -> 253* 10(325) -> 326* 10(237) -> 238* 10(140) -> 141* 10(365) -> 366* 10(173) -> 174* 10(277) -> 278* 10(242) -> 243* 10(22) -> 164* 10(32) -> 311* 10(258) -> 259* 10(322) -> 323* 10(270) -> 271* 10(34) -> 35* 10(118) -> 119* 10(200) -> 201* 10(88) -> 281* 10(328) -> 329* 10(321) -> 322* 10(60) -> 113* 10(77) -> 78* 10(290) -> 291* 10(330) -> 331* 10(147) -> 148* 10(333) -> 334* 10(70) -> 247* f60() -> 2* 196 -> 60,33 327 -> 22,164 430 -> 366* 163 -> 22,164 328 -> 409* 452 -> 164* 375 -> 22,113 154 -> 32,312 360 -> 50,214 231 -> 60* 310 -> 70,13 69 -> 60* 335 -> 50,223 104 -> 22,113 112 -> 60* 12 -> 22* 188 -> 70,61 419 -> 331* 344 -> 32,336 204 -> 3,4 264 -> 22,113 368 -> 32* 270 -> 442* 363 -> 420* 288 -> 3* 121 -> 22,113 172 -> 32,336 138 -> 32* 21 -> 22* 79 -> 60* 296 -> 70,13 179 -> 22* 390 -> 3,122 222 -> 70,155 1 -> 50,23 246 -> 60,33 49 -> 60* 31 -> 22,164 130 -> 60* 381 -> 32* 255 -> 32* 319 -> 50,214 59 -> 32,71 146 -> 22,164 213 -> 22,113 41 -> 32* 352 -> 32,71 303 -> 70,61 96 -> 22,113 87 -> 32* 280 -> 32,336 239 -> 60,345 272 -> 60* problem: Qed