YES Problem: 0(1(2(3(x1)))) -> 1(4(0(5(4(0(5(4(4(2(x1)))))))))) 1(0(2(4(5(x1))))) -> 1(0(5(4(4(1(3(5(5(5(x1)))))))))) 1(4(0(3(3(x1))))) -> 1(4(5(1(1(1(2(1(3(0(x1)))))))))) 1(4(0(3(5(x1))))) -> 5(1(3(1(1(5(1(1(0(5(x1)))))))))) 1(4(3(5(2(x1))))) -> 2(4(3(1(0(1(5(5(0(2(x1)))))))))) 1(4(5(0(3(x1))))) -> 5(1(5(5(1(1(5(0(4(2(x1)))))))))) 2(3(3(3(3(x1))))) -> 3(5(5(5(2(4(4(5(1(2(x1)))))))))) 2(3(3(4(1(x1))))) -> 2(5(0(3(1(5(1(0(5(5(x1)))))))))) 5(0(3(5(2(x1))))) -> 1(3(4(4(4(4(4(4(4(0(x1)))))))))) 5(3(0(3(3(x1))))) -> 5(4(4(3(5(1(1(1(1(5(x1)))))))))) 0(1(4(3(2(3(x1)))))) -> 2(5(1(2(1(1(5(5(3(2(x1)))))))))) 0(2(3(4(1(4(x1)))))) -> 2(1(1(5(4(2(1(4(4(5(x1)))))))))) 1(0(2(3(3(3(x1)))))) -> 1(4(0(4(3(1(5(1(2(5(x1)))))))))) 1(3(5(3(1(3(x1)))))) -> 1(0(5(1(1(2(4(5(5(1(x1)))))))))) 1(5(3(5(3(0(x1)))))) -> 0(1(5(1(1(1(0(5(0(0(x1)))))))))) 2(1(4(3(5(3(x1)))))) -> 3(1(0(1(3(4(2(0(4(2(x1)))))))))) 4(0(3(2(3(5(x1)))))) -> 4(2(5(1(1(1(3(1(1(1(x1)))))))))) 4(1(0(3(3(3(x1)))))) -> 4(5(5(5(2(2(4(4(2(3(x1)))))))))) 5(0(0(2(3(1(x1)))))) -> 1(1(5(5(5(2(0(2(4(1(x1)))))))))) 5(0(2(3(4(1(x1)))))) -> 5(1(3(2(5(1(4(1(5(5(x1)))))))))) 5(0(4(5(0(2(x1)))))) -> 1(5(5(2(3(3(4(4(0(2(x1)))))))))) 5(2(3(2(3(3(x1)))))) -> 1(1(3(2(2(2(1(1(3(2(x1)))))))))) 0(1(2(0(0(4(5(x1))))))) -> 0(1(1(1(1(4(2(0(5(5(x1)))))))))) 0(2(0(3(5(3(1(x1))))))) -> 3(1(0(1(2(5(0(1(1(4(x1)))))))))) 0(2(2(4(5(3(3(x1))))))) -> 2(4(3(1(2(2(5(5(4(3(x1)))))))))) 1(0(4(1(0(1(5(x1))))))) -> 5(5(5(1(5(1(1(5(1(5(x1)))))))))) 1(3(5(3(4(5(2(x1))))))) -> 1(0(1(4(3(4(4(1(5(2(x1)))))))))) 1(4(0(3(2(1(3(x1))))))) -> 2(0(3(1(4(5(2(2(4(4(x1)))))))))) 1(5(2(1(0(2(3(x1))))))) -> 1(4(1(3(5(0(1(0(5(5(x1)))))))))) 1(5(2(3(1(4(0(x1))))))) -> 1(4(4(4(5(2(4(0(5(5(x1)))))))))) 1(5(3(1(2(3(3(x1))))))) -> 3(0(3(1(0(1(3(4(2(0(x1)))))))))) 2(0(1(2(5(0(4(x1))))))) -> 2(4(4(1(1(0(1(3(4(4(x1)))))))))) 2(2(0(0(3(3(1(x1))))))) -> 4(4(2(3(4(1(5(5(4(1(x1)))))))))) 2(3(0(2(0(0(1(x1))))))) -> 2(3(2(2(4(4(1(0(5(5(x1)))))))))) 2(3(3(4(5(2(1(x1))))))) -> 4(4(2(3(1(4(2(1(5(5(x1)))))))))) 2(3(5(3(4(3(5(x1))))))) -> 2(2(3(2(1(5(5(4(4(0(x1)))))))))) 2(4(1(5(3(3(4(x1))))))) -> 2(3(5(1(5(5(5(2(0(4(x1)))))))))) 2(4(2(0(3(5(3(x1))))))) -> 4(2(5(1(5(1(1(3(1(3(x1)))))))))) 3(0(5(3(4(5(2(x1))))))) -> 3(1(0(1(2(2(4(4(5(5(x1)))))))))) 3(2(1(4(0(3(5(x1))))))) -> 3(1(4(0(5(3(3(0(1(5(x1)))))))))) 3(3(0(5(3(0(3(x1))))))) -> 3(0(1(4(2(5(5(5(3(2(x1)))))))))) 3(3(3(3(0(5(1(x1))))))) -> 3(2(0(1(3(4(2(1(1(1(x1)))))))))) 3(3(5(2(0(3(1(x1))))))) -> 3(3(4(2(4(4(2(2(1(1(x1)))))))))) 3(3(5(2(5(2(3(x1))))))) -> 3(4(2(2(1(5(1(3(1(2(x1)))))))))) 3(5(0(4(5(2(0(x1))))))) -> 3(1(3(1(1(3(3(1(0(5(x1)))))))))) 4(0(5(2(3(4(5(x1))))))) -> 4(4(3(3(1(5(5(2(1(5(x1)))))))))) 4(1(5(3(3(4(0(x1))))))) -> 3(1(1(1(0(4(2(4(2(2(x1)))))))))) 4(5(2(3(3(4(0(x1))))))) -> 0(5(1(1(2(4(3(1(1(3(x1)))))))))) 4(5(4(3(4(2(3(x1))))))) -> 4(4(0(5(4(4(4(5(1(3(x1)))))))))) 5(0(3(3(1(2(5(x1))))))) -> 5(5(5(4(0(0(1(1(1(0(x1)))))))))) 5(0(3(3(4(5(4(x1))))))) -> 5(1(3(3(3(5(4(4(4(4(x1)))))))))) 5(3(4(5(2(3(3(x1))))))) -> 5(4(3(1(1(5(0(1(3(1(x1)))))))))) Proof: String Reversal Processor: 3(2(1(0(x1)))) -> 2(4(4(5(0(4(5(0(4(1(x1)))))))))) 5(4(2(0(1(x1))))) -> 5(5(5(3(1(4(4(5(0(1(x1)))))))))) 3(3(0(4(1(x1))))) -> 0(3(1(2(1(1(1(5(4(1(x1)))))))))) 5(3(0(4(1(x1))))) -> 5(0(1(1(5(1(1(3(1(5(x1)))))))))) 2(5(3(4(1(x1))))) -> 2(0(5(5(1(0(1(3(4(2(x1)))))))))) 3(0(5(4(1(x1))))) -> 2(4(0(5(1(1(5(5(1(5(x1)))))))))) 3(3(3(3(2(x1))))) -> 2(1(5(4(4(2(5(5(5(3(x1)))))))))) 1(4(3(3(2(x1))))) -> 5(5(0(1(5(1(3(0(5(2(x1)))))))))) 2(5(3(0(5(x1))))) -> 0(4(4(4(4(4(4(4(3(1(x1)))))))))) 3(3(0(3(5(x1))))) -> 5(1(1(1(1(5(3(4(4(5(x1)))))))))) 3(2(3(4(1(0(x1)))))) -> 2(3(5(5(1(1(2(1(5(2(x1)))))))))) 4(1(4(3(2(0(x1)))))) -> 5(4(4(1(2(4(5(1(1(2(x1)))))))))) 3(3(3(2(0(1(x1)))))) -> 5(2(1(5(1(3(4(0(4(1(x1)))))))))) 3(1(3(5(3(1(x1)))))) -> 1(5(5(4(2(1(1(5(0(1(x1)))))))))) 0(3(5(3(5(1(x1)))))) -> 0(0(5(0(1(1(1(5(1(0(x1)))))))))) 3(5(3(4(1(2(x1)))))) -> 2(4(0(2(4(3(1(0(1(3(x1)))))))))) 5(3(2(3(0(4(x1)))))) -> 1(1(1(3(1(1(1(5(2(4(x1)))))))))) 3(3(3(0(1(4(x1)))))) -> 3(2(4(4(2(2(5(5(5(4(x1)))))))))) 1(3(2(0(0(5(x1)))))) -> 1(4(2(0(2(5(5(5(1(1(x1)))))))))) 1(4(3(2(0(5(x1)))))) -> 5(5(1(4(1(5(2(3(1(5(x1)))))))))) 2(0(5(4(0(5(x1)))))) -> 2(0(4(4(3(3(2(5(5(1(x1)))))))))) 3(3(2(3(2(5(x1)))))) -> 2(3(1(1(2(2(2(3(1(1(x1)))))))))) 5(4(0(0(2(1(0(x1))))))) -> 5(5(0(2(4(1(1(1(1(0(x1)))))))))) 1(3(5(3(0(2(0(x1))))))) -> 4(1(1(0(5(2(1(0(1(3(x1)))))))))) 3(3(5(4(2(2(0(x1))))))) -> 3(4(5(5(2(2(1(3(4(2(x1)))))))))) 5(1(0(1(4(0(1(x1))))))) -> 5(1(5(1(1(5(1(5(5(5(x1)))))))))) 2(5(4(3(5(3(1(x1))))))) -> 2(5(1(4(4(3(4(1(0(1(x1)))))))))) 3(1(2(3(0(4(1(x1))))))) -> 4(4(2(2(5(4(1(3(0(2(x1)))))))))) 3(2(0(1(2(5(1(x1))))))) -> 5(5(0(1(0(5(3(1(4(1(x1)))))))))) 0(4(1(3(2(5(1(x1))))))) -> 5(5(0(4(2(5(4(4(4(1(x1)))))))))) 3(3(2(1(3(5(1(x1))))))) -> 0(2(4(3(1(0(1(3(0(3(x1)))))))))) 4(0(5(2(1(0(2(x1))))))) -> 4(4(3(1(0(1(1(4(4(2(x1)))))))))) 1(3(3(0(0(2(2(x1))))))) -> 1(4(5(5(1(4(3(2(4(4(x1)))))))))) 1(0(0(2(0(3(2(x1))))))) -> 5(5(0(1(4(4(2(2(3(2(x1)))))))))) 1(2(5(4(3(3(2(x1))))))) -> 5(5(1(2(4(1(3(2(4(4(x1)))))))))) 5(3(4(3(5(3(2(x1))))))) -> 0(4(4(5(5(1(2(3(2(2(x1)))))))))) 4(3(3(5(1(4(2(x1))))))) -> 4(0(2(5(5(5(1(5(3(2(x1)))))))))) 3(5(3(0(2(4(2(x1))))))) -> 3(1(3(1(1(5(1(5(2(4(x1)))))))))) 2(5(4(3(5(0(3(x1))))))) -> 5(5(4(4(2(2(1(0(1(3(x1)))))))))) 5(3(0(4(1(2(3(x1))))))) -> 5(1(0(3(3(5(0(4(1(3(x1)))))))))) 3(0(3(5(0(3(3(x1))))))) -> 2(3(5(5(5(2(4(1(0(3(x1)))))))))) 1(5(0(3(3(3(3(x1))))))) -> 1(1(1(2(4(3(1(0(2(3(x1)))))))))) 1(3(0(2(5(3(3(x1))))))) -> 1(1(2(2(4(4(2(4(3(3(x1)))))))))) 3(2(5(2(5(3(3(x1))))))) -> 2(1(3(1(5(1(2(2(4(3(x1)))))))))) 0(2(5(4(0(5(3(x1))))))) -> 5(0(1(3(3(1(1(3(1(3(x1)))))))))) 5(4(3(2(5(0(4(x1))))))) -> 5(1(2(5(5(1(3(3(4(4(x1)))))))))) 0(4(3(3(5(1(4(x1))))))) -> 2(2(4(2(4(0(1(1(1(3(x1)))))))))) 0(4(3(3(2(5(4(x1))))))) -> 3(1(1(3(4(2(1(1(5(0(x1)))))))))) 3(2(4(3(4(5(4(x1))))))) -> 3(1(5(4(4(4(5(0(4(4(x1)))))))))) 5(2(1(3(3(0(5(x1))))))) -> 0(1(1(1(0(0(4(5(5(5(x1)))))))))) 4(5(4(3(3(0(5(x1))))))) -> 4(4(4(4(5(3(3(3(1(5(x1)))))))))) 3(3(2(5(4(3(5(x1))))))) -> 1(3(1(0(5(1(1(3(4(5(x1)))))))))) Bounds Processor: bound: 0 enrichment: match automaton: final states: {425,418,411,403,394,386,378,370,361,352,343,335,327, 322,316,308,299,293,284,275,267,258,250,242,233,225, 216,210,204,196,188,179,172,163,154,144,135,125,118, 111,102,94,85,76,67,57,49,39,29,21,12,1} transitions: 10(309) -> 310* 10(317) -> 318* 10(371) -> 372* 10(221) -> 222* 10(113) -> 114* 10(2) -> 3* 10(359) -> 360* 10(426) -> 427* 10(127) -> 197* 10(409) -> 410* 10(268) -> 269* 10(115) -> 116* 10(366) -> 367* 10(259) -> 336* 10(91) -> 92* 10(395) -> 396* 10(68) -> 95* 10(174) -> 175* 10(23) -> 24* 10(130) -> 131* 10(33) -> 34* 10(51) -> 52* 10(126) -> 127* 10(262) -> 263* 10(24) -> 25* 10(345) -> 346* 10(176) -> 177* 10(32) -> 33* 10(302) -> 303* 10(380) -> 381* 10(65) -> 66* 10(197) -> 198* 10(396) -> 397* 10(137) -> 138* 10(70) -> 71* 10(30) -> 31* 10(3) -> 164* 10(35) -> 36* 10(416) -> 417* 10(16) -> 17* 10(103) -> 104* 10(40) -> 103* 10(289) -> 290* 10(384) -> 385* 10(14) -> 119* 10(119) -> 120* 10(271) -> 272* 10(193) -> 194* 10(52) -> 53* 10(350) -> 351* 10(72) -> 73* 10(149) -> 150* 10(235) -> 236* 10(89) -> 90* 10(401) -> 402* 10(387) -> 388* 10(107) -> 108* 10(92) -> 93* 10(147) -> 148* 10(22) -> 23* 10(220) -> 221* 10(148) -> 149* 10(207) -> 208* 10(360) -> 352* 10(13) -> 226* 10(90) -> 91* 10(351) -> 343* 10(4) -> 243* 10(128) -> 129* 10(198) -> 199* 10(36) -> 37* 10(96) -> 97* 10(333) -> 334* 10(400) -> 401* 10(260) -> 261* 10(269) -> 270* 10(26) -> 27* 10(124) -> 118* 10(44) -> 45* 10(152) -> 153* 10(136) -> 387* 10(129) -> 130* 10(230) -> 231* 10(414) -> 415* 10(320) -> 321* 10(368) -> 369* 10(208) -> 209* 10(349) -> 350* 10(153) -> 144* 10(372) -> 373* 10(151) -> 152* 10(430) -> 431* 10(278) -> 294* 10(192) -> 193* 10(58) -> 136* 10(279) -> 280* 10(223) -> 224* 10(427) -> 428* 10(97) -> 98* 10(318) -> 319* 10(375) -> 376* 10(296) -> 297* 10(364) -> 365* 10(218) -> 219* 10(171) -> 163* 10(246) -> 247* 10(283) -> 275* 10(42) -> 43* 10(432) -> 425* 10(415) -> 416* 20(265) -> 266* 20(301) -> 302* 20(116) -> 117* 20(158) -> 159* 20(169) -> 170* 20(200) -> 201* 20(393) -> 386* 20(286) -> 287* 20(392) -> 393* 20(106) -> 107* 20(145) -> 146* 20(58) -> 344* 20(190) -> 191* 20(285) -> 286* 20(253) -> 254* 20(187) -> 179* 20(357) -> 358* 20(354) -> 355* 20(143) -> 135* 20(276) -> 277* 20(40) -> 300* 20(120) -> 121* 20(342) -> 335* 20(369) -> 361* 20(205) -> 323* 20(195) -> 188* 20(101) -> 94* 20(295) -> 296* 20(161) -> 162* 20(32) -> 173* 20(140) -> 141* 20(238) -> 239* 20(66) -> 57* 20(211) -> 212* 20(11) -> 1* 20(383) -> 384* 20(181) -> 182* 20(313) -> 314* 20(138) -> 205* 20(390) -> 391* 20(61) -> 62* 20(43) -> 211* 20(25) -> 26* 20(239) -> 240* 20(189) -> 190* 20(348) -> 349* 20(232) -> 225* 20(191) -> 192* 20(95) -> 96* 20(48) -> 39* 20(363) -> 364* 20(362) -> 363* 20(358) -> 359* 20(56) -> 49* 20(397) -> 398* 20(337) -> 338* 20(167) -> 168* 20(157) -> 158* 20(2) -> 40* 00(7) -> 8* 00(40) -> 234* 00(43) -> 44* 00(3) -> 13* 00(413) -> 414* 00(328) -> 329* 00(206) -> 207* 00(307) -> 299* 00(344) -> 345* 00(168) -> 169* 00(314) -> 315* 00(84) -> 76* 00(131) -> 132* 00(276) -> 404* 00(134) -> 125* 00(54) -> 55* 00(68) -> 69* 00(290) -> 291* 00(412) -> 413* 00(141) -> 142* 00(270) -> 271* 00(332) -> 333* 00(47) -> 48* 00(376) -> 377* 00(245) -> 246* 00(136) -> 137* 00(4) -> 5* 00(37) -> 38* 00(133) -> 134* 00(266) -> 258* 00(28) -> 21* 00(247) -> 248* 00(429) -> 430* 00(201) -> 202* 00(186) -> 187* 00(58) -> 259* 00(261) -> 262* 00(388) -> 389* 00(417) -> 411* 00(255) -> 256* 00(2) -> 126* 00(73) -> 74* 50(132) -> 133* 50(219) -> 220* 50(404) -> 405* 50(38) -> 29* 50(297) -> 298* 50(217) -> 218* 50(291) -> 292* 50(104) -> 105* 50(156) -> 157* 50(20) -> 12* 50(385) -> 378* 50(34) -> 35* 50(325) -> 326* 50(329) -> 330* 50(164) -> 165* 50(257) -> 250* 50(213) -> 214* 50(178) -> 172* 50(298) -> 293* 50(2) -> 30* 50(122) -> 123* 50(40) -> 68* 50(340) -> 341* 50(202) -> 203* 50(117) -> 111* 50(4) -> 22* 50(5) -> 6* 50(338) -> 339* 50(88) -> 89* 50(13) -> 14* 50(281) -> 282* 50(205) -> 206* 50(126) -> 395* 50(148) -> 317* 50(71) -> 72* 50(177) -> 178* 50(75) -> 67* 50(110) -> 102* 50(382) -> 383* 50(145) -> 155* 50(60) -> 61* 50(249) -> 242* 50(428) -> 429* 50(248) -> 249* 50(99) -> 100* 50(59) -> 60* 50(237) -> 238* 50(64) -> 65* 50(18) -> 19* 50(311) -> 312* 50(304) -> 305* 50(381) -> 382* 50(155) -> 156* 50(114) -> 115* 50(408) -> 409* 50(339) -> 340* 50(420) -> 421* 50(326) -> 322* 50(334) -> 327* 50(165) -> 166* 50(285) -> 309* 50(256) -> 257* 50(377) -> 370* 50(8) -> 9* 50(50) -> 51* 50(93) -> 85* 50(123) -> 124* 50(312) -> 313* 50(58) -> 59* 50(231) -> 232* 50(98) -> 99* 50(45) -> 46* 50(224) -> 216* 50(222) -> 223* 50(365) -> 366* 50(280) -> 281* 50(303) -> 304* 50(3) -> 180* 50(252) -> 253* 50(30) -> 217* 50(146) -> 147* 50(212) -> 213* 50(127) -> 128* 50(310) -> 311* 50(292) -> 284* 50(166) -> 167* 50(173) -> 174* 50(46) -> 47* 50(19) -> 20* 50(203) -> 196* 50(53) -> 54* 50(180) -> 181* 50(74) -> 75* 50(31) -> 50* 50(244) -> 245* 40(424) -> 418* 40(240) -> 241* 40(422) -> 423* 40(254) -> 255* 40(229) -> 230* 40(214) -> 215* 40(4) -> 251* 40(2) -> 145* 40(10) -> 11* 40(336) -> 337* 40(5) -> 112* 40(62) -> 63* 40(273) -> 274* 40(287) -> 288* 40(355) -> 356* 40(15) -> 16* 40(83) -> 84* 40(305) -> 306* 40(80) -> 81* 40(236) -> 237* 40(406) -> 407* 40(184) -> 185* 40(145) -> 276* 40(288) -> 289* 40(9) -> 10* 40(407) -> 408* 40(264) -> 265* 40(324) -> 325* 40(121) -> 122* 40(391) -> 392* 40(139) -> 140* 40(40) -> 41* 40(175) -> 176* 40(389) -> 390* 40(3) -> 4* 40(82) -> 83* 40(274) -> 267* 40(398) -> 399* 40(282) -> 283* 40(185) -> 186* 40(109) -> 110* 40(228) -> 229* 40(209) -> 204* 40(55) -> 56* 40(323) -> 324* 40(294) -> 295* 40(77) -> 78* 40(79) -> 80* 40(347) -> 348* 40(6) -> 7* 40(353) -> 354* 40(105) -> 106* 40(423) -> 424* 40(356) -> 357* 40(136) -> 328* 40(278) -> 279* 40(58) -> 362* 40(142) -> 143* 40(199) -> 200* 40(108) -> 109* 40(86) -> 87* 40(160) -> 161* 40(159) -> 160* 40(421) -> 422* 40(251) -> 252* 40(30) -> 86* 40(63) -> 64* 40(14) -> 15* 40(78) -> 79* 40(41) -> 268* 40(218) -> 412* 40(306) -> 307* 40(81) -> 82* 40(170) -> 171* 40(315) -> 308* 40(241) -> 233* 40(226) -> 227* 40(405) -> 406* 30(112) -> 113* 30(379) -> 380* 30(150) -> 151* 30(86) -> 426* 30(100) -> 101* 30(17) -> 18* 30(136) -> 371* 30(234) -> 235* 30(272) -> 273* 30(346) -> 347* 30(259) -> 260* 30(276) -> 379* 30(419) -> 420* 30(164) -> 189* 30(319) -> 320* 30(58) -> 353* 30(402) -> 394* 30(367) -> 368* 30(374) -> 375* 30(27) -> 28* 30(431) -> 432* 30(399) -> 400* 30(41) -> 42* 30(3) -> 77* 30(2) -> 58* 30(162) -> 154* 30(300) -> 301* 30(373) -> 374* 30(182) -> 183* 30(69) -> 70* 30(215) -> 210* 30(194) -> 195* 30(183) -> 184* 30(277) -> 278* 30(243) -> 244* 30(32) -> 419* 30(341) -> 342* 30(40) -> 285* 30(227) -> 228* 30(321) -> 316* 30(410) -> 403* 30(87) -> 88* 30(331) -> 332* 30(330) -> 331* 30(263) -> 264* 30(138) -> 139* 30(31) -> 32* f60() -> 2* 196 -> 30,155 327 -> 30,59 94 -> 58,285 163 -> 3,136 403 -> 58,285 210 -> 58,353 418 -> 145,86 144 -> 30,59,309 378 -> 30,155 267 -> 145* 242 -> 58,285 154 -> 58,353 250 -> 126,5,329 216 -> 30,180,128 370 -> 126,234 335 -> 58,260 85 -> 58,353 12 -> 30,155 425 -> 58,353 188 -> 58,353 284 -> 3,127 258 -> 58,353 118 -> 58,77,371 204 -> 3,136 67 -> 3* 386 -> 126* 394 -> 126* 308 -> 145,362,354 172 -> 3* 21 -> 58,353 233 -> 58,77 343 -> 3,31,396 76 -> 40* 125 -> 126,259 179 -> 40* 135 -> 58* 316 -> 58* 1 -> 58,285 49 -> 58* 293 -> 3,103 361 -> 58,285 275 -> 3,136 411 -> 30,68 225 -> 40* 57 -> 58,353 39 -> 40* 299 -> 30,59 352 -> 3,136,236 29 -> 30,59 102 -> 145,4 322 -> 40* 111 -> 58,353 problem: Qed