YES Problem: 0(1(x1)) -> 0(2(3(4(5(1(4(3(4(5(x1)))))))))) 0(4(1(x1))) -> 0(4(0(0(3(4(5(1(5(3(x1)))))))))) 2(0(1(x1))) -> 5(4(2(1(2(5(2(5(2(5(x1)))))))))) 2(1(1(x1))) -> 2(5(3(1(5(3(3(3(4(4(x1)))))))))) 0(1(1(0(x1)))) -> 5(3(4(2(3(3(5(1(3(4(x1)))))))))) 0(1(3(3(x1)))) -> 4(0(0(2(1(5(3(4(3(4(x1)))))))))) 0(4(1(0(x1)))) -> 5(3(4(2(2(2(0(2(4(3(x1)))))))))) 1(0(4(1(x1)))) -> 4(5(1(5(3(3(3(3(0(3(x1)))))))))) 1(0(5(2(x1)))) -> 1(0(2(3(4(5(1(0(2(2(x1)))))))))) 1(4(2(1(x1)))) -> 4(3(2(5(1(5(4(5(5(2(x1)))))))))) 2(1(0(0(x1)))) -> 4(4(5(3(3(5(0(2(5(5(x1)))))))))) 0(0(4(2(2(x1))))) -> 5(5(3(3(5(4(4(1(0(2(x1)))))))))) 0(5(1(0(0(x1))))) -> 0(2(3(0(2(2(2(2(2(2(x1)))))))))) 0(5(5(2(4(x1))))) -> 0(0(4(0(0(5(5(3(5(4(x1)))))))))) 1(0(1(2(0(x1))))) -> 1(4(4(5(1(1(4(1(4(3(x1)))))))))) 1(0(4(4(3(x1))))) -> 4(0(5(5(3(2(2(5(2(2(x1)))))))))) 1(3(3(1(3(x1))))) -> 5(4(2(0(5(3(3(4(3(3(x1)))))))))) 2(1(0(1(1(x1))))) -> 2(2(5(2(2(5(0(0(2(1(x1)))))))))) 2(1(2(1(0(x1))))) -> 2(3(0(5(1(5(4(5(3(0(x1)))))))))) 2(1(3(1(3(x1))))) -> 5(1(0(0(2(5(5(4(2(3(x1)))))))))) 2(2(4(4(3(x1))))) -> 5(5(3(1(5(4(5(2(5(3(x1)))))))))) 0(3(3(1(0(1(x1)))))) -> 5(3(2(0(2(4(3(2(4(1(x1)))))))))) 1(0(1(0(1(0(x1)))))) -> 3(2(5(2(0(2(0(0(1(2(x1)))))))))) 1(1(1(1(3(0(x1)))))) -> 1(5(3(0(5(1(5(3(1(0(x1)))))))))) 1(1(2(0(1(4(x1)))))) -> 4(0(4(2(1(2(2(5(2(4(x1)))))))))) 1(4(0(4(3(1(x1)))))) -> 3(0(2(1(2(0(2(1(5(4(x1)))))))))) 2(0(3(1(5(5(x1)))))) -> 2(3(4(2(4(5(0(5(1(4(x1)))))))))) 3(0(3(1(0(1(x1)))))) -> 0(2(4(5(2(2(5(3(4(2(x1)))))))))) 3(1(2(0(2(1(x1)))))) -> 3(3(1(2(0(5(5(3(4(2(x1)))))))))) 0(0(3(3(1(1(3(x1))))))) -> 1(0(3(5(5(1(4(1(5(0(x1)))))))))) 0(1(1(1(4(0(0(x1))))))) -> 4(0(1(2(3(5(4(5(0(2(x1)))))))))) 0(4(1(1(0(4(3(x1))))))) -> 5(5(2(0(2(5(2(4(2(5(x1)))))))))) 1(0(4(3(3(5(5(x1))))))) -> 5(5(3(4(5(0(3(1(5(5(x1)))))))))) 1(1(1(1(0(3(0(x1))))))) -> 3(0(2(5(1(4(4(0(0(2(x1)))))))))) 1(1(1(5(0(4(0(x1))))))) -> 1(2(0(2(0(5(5(4(5(3(x1)))))))))) 1(2(1(0(5(2(2(x1))))))) -> 1(0(5(3(1(5(3(3(0(2(x1)))))))))) 1(2(1(1(3(0(0(x1))))))) -> 1(5(2(4(2(3(4(2(4(4(x1)))))))))) 1(3(1(3(1(0(4(x1))))))) -> 4(4(5(1(2(1(5(0(0(5(x1)))))))))) 1(3(5(3(4(3(5(x1))))))) -> 4(4(2(5(5(2(2(0(0(5(x1)))))))))) 1(4(2(5(1(0(2(x1))))))) -> 4(4(0(1(5(4(3(5(3(2(x1)))))))))) 3(0(1(0(1(4(0(x1))))))) -> 3(4(5(5(0(5(5(1(3(0(x1)))))))))) 3(0(4(1(2(5(0(x1))))))) -> 3(1(0(2(0(4(0(0(2(3(x1)))))))))) 3(0(4(3(3(0(1(x1))))))) -> 0(3(2(0(5(2(2(1(5(1(x1)))))))))) 4(0(3(3(0(1(3(x1))))))) -> 0(3(3(2(3(4(5(5(1(3(x1)))))))))) 5(1(3(4(1(0(0(x1))))))) -> 2(4(5(3(5(1(2(2(4(0(x1)))))))))) 5(2(0(1(1(3(1(x1))))))) -> 5(3(0(5(3(2(1(4(1(1(x1)))))))))) Proof: String Reversal Processor: 1(0(x1)) -> 5(4(3(4(1(5(4(3(2(0(x1)))))))))) 1(4(0(x1))) -> 3(5(1(5(4(3(0(0(4(0(x1)))))))))) 1(0(2(x1))) -> 5(2(5(2(5(2(1(2(4(5(x1)))))))))) 1(1(2(x1))) -> 4(4(3(3(3(5(1(3(5(2(x1)))))))))) 0(1(1(0(x1)))) -> 4(3(1(5(3(3(2(4(3(5(x1)))))))))) 3(3(1(0(x1)))) -> 4(3(4(3(5(1(2(0(0(4(x1)))))))))) 0(1(4(0(x1)))) -> 3(4(2(0(2(2(2(4(3(5(x1)))))))))) 1(4(0(1(x1)))) -> 3(0(3(3(3(3(5(1(5(4(x1)))))))))) 2(5(0(1(x1)))) -> 2(2(0(1(5(4(3(2(0(1(x1)))))))))) 1(2(4(1(x1)))) -> 2(5(5(4(5(1(5(2(3(4(x1)))))))))) 0(0(1(2(x1)))) -> 5(5(2(0(5(3(3(5(4(4(x1)))))))))) 2(2(4(0(0(x1))))) -> 2(0(1(4(4(5(3(3(5(5(x1)))))))))) 0(0(1(5(0(x1))))) -> 2(2(2(2(2(2(0(3(2(0(x1)))))))))) 4(2(5(5(0(x1))))) -> 4(5(3(5(5(0(0(4(0(0(x1)))))))))) 0(2(1(0(1(x1))))) -> 3(4(1(4(1(1(5(4(4(1(x1)))))))))) 3(4(4(0(1(x1))))) -> 2(2(5(2(2(3(5(5(0(4(x1)))))))))) 3(1(3(3(1(x1))))) -> 3(3(4(3(3(5(0(2(4(5(x1)))))))))) 1(1(0(1(2(x1))))) -> 1(2(0(0(5(2(2(5(2(2(x1)))))))))) 0(1(2(1(2(x1))))) -> 0(3(5(4(5(1(5(0(3(2(x1)))))))))) 3(1(3(1(2(x1))))) -> 3(2(4(5(5(2(0(0(1(5(x1)))))))))) 3(4(4(2(2(x1))))) -> 3(5(2(5(4(5(1(3(5(5(x1)))))))))) 1(0(1(3(3(0(x1)))))) -> 1(4(2(3(4(2(0(2(3(5(x1)))))))))) 0(1(0(1(0(1(x1)))))) -> 2(1(0(0(2(0(2(5(2(3(x1)))))))))) 0(3(1(1(1(1(x1)))))) -> 0(1(3(5(1(5(0(3(5(1(x1)))))))))) 4(1(0(2(1(1(x1)))))) -> 4(2(5(2(2(1(2(4(0(4(x1)))))))))) 1(3(4(0(4(1(x1)))))) -> 4(5(1(2(0(2(1(2(0(3(x1)))))))))) 5(5(1(3(0(2(x1)))))) -> 4(1(5(0(5(4(2(4(3(2(x1)))))))))) 1(0(1(3(0(3(x1)))))) -> 2(4(3(5(2(2(5(4(2(0(x1)))))))))) 1(2(0(2(1(3(x1)))))) -> 2(4(3(5(5(0(2(1(3(3(x1)))))))))) 3(1(1(3(3(0(0(x1))))))) -> 0(5(1(4(1(5(5(3(0(1(x1)))))))))) 0(0(4(1(1(1(0(x1))))))) -> 2(0(5(4(5(3(2(1(0(4(x1)))))))))) 3(4(0(1(1(4(0(x1))))))) -> 5(2(4(2(5(2(0(2(5(5(x1)))))))))) 5(5(3(3(4(0(1(x1))))))) -> 5(5(1(3(0(5(4(3(5(5(x1)))))))))) 0(3(0(1(1(1(1(x1))))))) -> 2(0(0(4(4(1(5(2(0(3(x1)))))))))) 0(4(0(5(1(1(1(x1))))))) -> 3(5(4(5(5(0(2(0(2(1(x1)))))))))) 2(2(5(0(1(2(1(x1))))))) -> 2(0(3(3(5(1(3(5(0(1(x1)))))))))) 0(0(3(1(1(2(1(x1))))))) -> 4(4(2(4(3(2(4(2(5(1(x1)))))))))) 4(0(1(3(1(3(1(x1))))))) -> 5(0(0(5(1(2(1(5(4(4(x1)))))))))) 5(3(4(3(5(3(1(x1))))))) -> 5(0(0(2(2(5(5(2(4(4(x1)))))))))) 2(0(1(5(2(4(1(x1))))))) -> 2(3(5(3(4(5(1(0(4(4(x1)))))))))) 0(4(1(0(1(0(3(x1))))))) -> 0(3(1(5(5(0(5(5(4(3(x1)))))))))) 0(5(2(1(4(0(3(x1))))))) -> 3(2(0(0(4(0(2(0(1(3(x1)))))))))) 1(0(3(3(4(0(3(x1))))))) -> 1(5(1(2(2(5(0(2(3(0(x1)))))))))) 3(1(0(3(3(0(4(x1))))))) -> 3(1(5(5(4(3(2(3(3(0(x1)))))))))) 0(0(1(4(3(1(5(x1))))))) -> 0(4(2(2(1(5(3(5(4(2(x1)))))))))) 1(3(1(1(0(2(5(x1))))))) -> 1(1(4(1(2(3(5(0(3(5(x1)))))))))) Bounds Processor: bound: 1 enrichment: match automaton: final states: {385,376,368,359,350,341,333,325,318,310,302,293,286, 279,271,263,255,246,238,230,221,213,204,194,186,179, 170,161,152,145,137,128,119,112,103,94,85,75,66,60, 50,41,31,21,12,1} transitions: 51(446) -> 447* 51(430) -> 431* 51(402) -> 403* 51(468) -> 469* 51(435) -> 436* 51(463) -> 464* 51(397) -> 398* 51(441) -> 442* 31(444) -> 445* 31(395) -> 396* 31(466) -> 467* 31(439) -> 440* 31(428) -> 429* 31(494) -> 495* 31(433) -> 434* 31(400) -> 401* 31(461) -> 462* 50(297) -> 298* 50(102) -> 94* 50(182) -> 183* 50(153) -> 154* 50(326) -> 327* 50(207) -> 208* 50(68) -> 69* 50(386) -> 387* 50(77) -> 303* 50(106) -> 107* 50(327) -> 328* 50(261) -> 262* 50(242) -> 243* 50(285) -> 279* 50(266) -> 267* 50(343) -> 344* 50(278) -> 271* 50(209) -> 210* 50(338) -> 339* 50(142) -> 143* 50(321) -> 322* 50(268) -> 269* 50(174) -> 175* 50(372) -> 373* 50(126) -> 127* 50(342) -> 343* 50(22) -> 104* 50(101) -> 102* 50(35) -> 36* 50(52) -> 138* 50(165) -> 166* 50(377) -> 378* 50(180) -> 181* 50(251) -> 252* 50(345) -> 346* 50(280) -> 281* 50(130) -> 131* 50(228) -> 229* 50(305) -> 306* 50(324) -> 318* 50(379) -> 380* 50(32) -> 33* 50(256) -> 257* 50(87) -> 88* 50(218) -> 219* 50(6) -> 7* 50(11) -> 1* 50(284) -> 285* 50(17) -> 18* 50(223) -> 287* 50(89) -> 90* 50(138) -> 139* 50(76) -> 205* 50(26) -> 27* 50(233) -> 234* 50(124) -> 125* 50(366) -> 367* 50(373) -> 374* 50(92) -> 93* 50(239) -> 240* 50(55) -> 56* 50(235) -> 236* 50(30) -> 21* 50(80) -> 81* 50(19) -> 20* 50(95) -> 96* 50(98) -> 99* 50(146) -> 147* 50(175) -> 176* 50(184) -> 185* 50(300) -> 301* 50(257) -> 258* 50(346) -> 347* 50(335) -> 336* 50(332) -> 325* 50(91) -> 92* 50(362) -> 363* 50(156) -> 157* 50(123) -> 124* 50(196) -> 197* 50(28) -> 29* 50(46) -> 47* 50(250) -> 251* 50(298) -> 299* 50(274) -> 275* 50(51) -> 67* 50(163) -> 164* 50(167) -> 168* 50(2) -> 22* f60() -> 2* 00(355) -> 356* 00(249) -> 250* 00(195) -> 222* 00(51) -> 52* 00(158) -> 159* 00(187) -> 188* 00(294) -> 295* 00(234) -> 235* 00(13) -> 14* 00(272) -> 273* 00(323) -> 324* 00(110) -> 111* 00(52) -> 53* 00(296) -> 297* 00(122) -> 123* 00(291) -> 292* 00(3) -> 120* 00(2) -> 3* 00(281) -> 282* 00(82) -> 83* 00(171) -> 172* 00(162) -> 163* 00(344) -> 345* 00(201) -> 202* 00(356) -> 357* 00(14) -> 15* 00(76) -> 77* 00(308) -> 309* 00(212) -> 204* 00(62) -> 63* 00(269) -> 270* 00(206) -> 207* 00(42) -> 386* 00(5) -> 113* 00(225) -> 226* 00(351) -> 352* 00(73) -> 74* 00(322) -> 323* 00(169) -> 161* 00(157) -> 158* 00(95) -> 334* 00(361) -> 362* 00(172) -> 173* 00(24) -> 146* 00(349) -> 341* 00(198) -> 199* 00(200) -> 201* 00(353) -> 354* 00(99) -> 100* 00(290) -> 291* 00(331) -> 332* 00(330) -> 331* 00(121) -> 122* 00(384) -> 376* 00(262) -> 255* 20(309) -> 302* 20(388) -> 389* 20(113) -> 114* 20(2) -> 32* 20(245) -> 238* 20(264) -> 265* 20(231) -> 232* 20(188) -> 189* 20(111) -> 103* 20(104) -> 272* 20(315) -> 316* 20(352) -> 353* 20(115) -> 116* 20(312) -> 313* 20(328) -> 329* 20(23) -> 24* 20(199) -> 200* 20(214) -> 215* 20(205) -> 311* 20(76) -> 294* 20(77) -> 78* 20(382) -> 383* 20(114) -> 115* 20(144) -> 137* 20(183) -> 184* 20(254) -> 246* 20(173) -> 174* 20(95) -> 326* 20(32) -> 153* 20(292) -> 286* 20(219) -> 220* 20(195) -> 196* 20(216) -> 217* 20(197) -> 198* 20(381) -> 382* 20(224) -> 225* 20(329) -> 330* 20(240) -> 241* 20(217) -> 218* 20(3) -> 4* 20(319) -> 320* 20(273) -> 274* 20(154) -> 155* 20(159) -> 160* 20(357) -> 358* 20(116) -> 117* 20(83) -> 84* 20(155) -> 156* 20(248) -> 249* 20(118) -> 112* 20(93) -> 85* 20(360) -> 361* 20(275) -> 276* 20(270) -> 263* 20(43) -> 44* 20(295) -> 296* 20(84) -> 75* 20(241) -> 242* 20(226) -> 227* 20(27) -> 28* 20(369) -> 370* 20(44) -> 61* 20(117) -> 118* 20(222) -> 223* 20(53) -> 54* 20(141) -> 142* 20(63) -> 64* 20(86) -> 87* 20(61) -> 62* 20(203) -> 194* 20(177) -> 178* 20(340) -> 333* 20(364) -> 365* 20(191) -> 192* 20(100) -> 101* 20(277) -> 278* 20(42) -> 187* 20(143) -> 144* 20(25) -> 26* 20(140) -> 141* 20(29) -> 30* 20(363) -> 364* 40(52) -> 214* 40(22) -> 23* 40(16) -> 17* 40(39) -> 40* 40(229) -> 221* 40(354) -> 355* 40(237) -> 230* 40(4) -> 239* 40(2) -> 51* 40(10) -> 11* 40(336) -> 337* 40(5) -> 6* 40(133) -> 134* 40(317) -> 310* 40(181) -> 182* 40(135) -> 136* 40(49) -> 41* 40(253) -> 254* 40(127) -> 119* 40(189) -> 190* 40(162) -> 231* 40(192) -> 193* 40(390) -> 391* 40(232) -> 233* 40(311) -> 312* 40(288) -> 289* 40(57) -> 58* 40(64) -> 65* 40(276) -> 277* 40(259) -> 260* 40(40) -> 31* 40(299) -> 300* 40(3) -> 13* 40(195) -> 342* 40(371) -> 372* 40(90) -> 91* 40(129) -> 130* 40(176) -> 177* 40(314) -> 315* 40(120) -> 121* 40(149) -> 150* 40(79) -> 80* 40(107) -> 108* 40(220) -> 213* 40(32) -> 377* 40(105) -> 280* 40(267) -> 268* 40(383) -> 384* 40(8) -> 9* 40(51) -> 95* 40(166) -> 167* 40(108) -> 109* 40(59) -> 50* 40(289) -> 290* 40(76) -> 129* 40(42) -> 43* 40(316) -> 317* 40(244) -> 245* 10(7) -> 8* 10(22) -> 171* 10(215) -> 216* 10(208) -> 209* 10(96) -> 319* 10(391) -> 392* 10(81) -> 82* 10(52) -> 264* 10(365) -> 366* 10(67) -> 68* 10(131) -> 132* 10(304) -> 305* 10(236) -> 237* 10(320) -> 321* 10(367) -> 359* 10(134) -> 135* 10(54) -> 55* 10(195) -> 351* 10(18) -> 19* 10(347) -> 348* 10(287) -> 288* 10(105) -> 180* 10(334) -> 335* 10(374) -> 375* 10(258) -> 259* 10(223) -> 224* 10(260) -> 261* 10(47) -> 48* 10(164) -> 165* 10(283) -> 284* 10(34) -> 35* 10(24) -> 25* 10(247) -> 248* 10(202) -> 203* 10(88) -> 89* 10(389) -> 390* 10(193) -> 186* 10(211) -> 212* 10(227) -> 228* 10(392) -> 385* 10(160) -> 152* 10(132) -> 133* 10(2) -> 76* 10(109) -> 110* 10(380) -> 381* 30(370) -> 371* 30(243) -> 244* 30(38) -> 39* 30(104) -> 105* 30(306) -> 307* 30(20) -> 12* 30(69) -> 70* 30(168) -> 169* 30(282) -> 283* 30(147) -> 148* 30(375) -> 368* 30(185) -> 179* 30(348) -> 349* 30(178) -> 170* 30(360) -> 369* 30(358) -> 350* 30(2) -> 195* 30(22) -> 42* 30(139) -> 140* 30(265) -> 266* 30(36) -> 37* 30(4) -> 5* 30(97) -> 98* 30(205) -> 206* 30(15) -> 16* 30(148) -> 149* 30(72) -> 73* 30(71) -> 72* 30(136) -> 128* 30(96) -> 97* 30(151) -> 145* 30(70) -> 71* 30(9) -> 10* 30(56) -> 57* 30(339) -> 340* 30(150) -> 151* 30(313) -> 314* 30(48) -> 49* 30(337) -> 338* 30(58) -> 59* 30(307) -> 308* 30(77) -> 256* 30(32) -> 162* 30(125) -> 126* 30(45) -> 46* 30(33) -> 34* 30(195) -> 247* 30(44) -> 45* 30(303) -> 304* 30(3) -> 360* 30(105) -> 106* 30(252) -> 253* 30(37) -> 38* 30(378) -> 379* 30(210) -> 211* 30(301) -> 293* 30(78) -> 79* 30(387) -> 388* 30(65) -> 60* 30(190) -> 191* 30(74) -> 66* 30(51) -> 86* 11(442) -> 443* 11(464) -> 465* 11(398) -> 399* 11(431) -> 432* 21(427) -> 428* 21(501) -> 502* 21(493) -> 494* 21(497) -> 498* 21(498) -> 499* 21(460) -> 461* 21(499) -> 500* 21(438) -> 439* 21(394) -> 395* 21(500) -> 501* 21(496) -> 497* 01(503) -> 504* 01(495) -> 496* 01(437) -> 438* 01(459) -> 460* 01(492) -> 493* 01(393) -> 394* 01(426) -> 427* 41(396) -> 397* 41(440) -> 441* 41(429) -> 430* 41(399) -> 400* 41(432) -> 433* 41(465) -> 466* 41(467) -> 468* 41(462) -> 463* 41(401) -> 402* 41(443) -> 444* 41(445) -> 446* 41(434) -> 435* 238 -> 76* 94 -> 3,120 262 -> 459* 447 -> 264* 403 -> 335* 194 -> 3,77 310 -> 3,120 137 -> 195,86 112 -> 3,120,173 85 -> 76* 12 -> 76* 504 -> 438* 359 -> 76* 318 -> 51,13 66 -> 76* 204 -> 3,222 350 -> 3* 368 -> 195* 230 -> 22,104 75 -> 32* 302 -> 32,153 186 -> 76* 21 -> 76* 201 -> 426* 161 -> 3,77 385 -> 76,351 349 -> 503* 170 -> 195* 179 -> 195,86 60 -> 3,77 1 -> 76* 246 -> 76* 31 -> 76* 293 -> 3,438,52,14 325 -> 22* 255 -> 195* 95 -> 393* 341 -> 3,52 331 -> 492* 213 -> 51,129 333 -> 32,4,78 50 -> 195,247 41 -> 3,77 469 -> 351* 145 -> 195* 119 -> 51,377 502 -> 173* 436 -> 203* 51 -> 437* 286 -> 3,222 152 -> 76* 103 -> 32,153 271 -> 195,86 263 -> 3,120,53 128 -> 3,295 376 -> 3,120 221 -> 76,351 279 -> 22,104 problem: Qed