YES Problem: 0(5(3(x1))) -> 3(0(4(3(0(4(1(4(4(4(x1)))))))))) 1(3(4(x1))) -> 0(4(3(5(5(1(0(3(4(4(x1)))))))))) 4(5(3(x1))) -> 3(4(3(2(2(3(0(3(3(4(x1)))))))))) 1(5(3(1(x1)))) -> 2(1(0(1(1(1(5(1(1(2(x1)))))))))) 3(0(0(5(x1)))) -> 4(2(0(2(1(2(4(0(3(5(x1)))))))))) 4(1(3(5(x1)))) -> 3(0(3(4(4(2(5(5(2(2(x1)))))))))) 0(0(4(5(1(x1))))) -> 0(3(5(2(2(0(0(3(2(1(x1)))))))))) 0(1(0(2(5(x1))))) -> 1(0(3(0(2(3(1(1(5(2(x1)))))))))) 0(1(4(5(4(x1))))) -> 1(0(3(3(1(0(2(3(1(4(x1)))))))))) 1(0(5(4(0(x1))))) -> 1(1(2(0(4(0(0(3(1(0(x1)))))))))) 1(5(3(5(4(x1))))) -> 2(0(2(1(4(4(1(0(1(4(x1)))))))))) 3(5(0(5(3(x1))))) -> 3(2(2(2(0(0(2(2(0(4(x1)))))))))) 4(5(3(1(3(x1))))) -> 2(0(3(5(5(5(0(2(4(3(x1)))))))))) 4(5(3(3(5(x1))))) -> 3(3(4(1(0(1(5(2(5(5(x1)))))))))) 4(5(4(5(3(x1))))) -> 2(3(0(3(3(4(1(5(2(1(x1)))))))))) 5(3(3(5(3(x1))))) -> 5(4(4(5(4(0(2(0(3(3(x1)))))))))) 0(0(1(4(5(3(x1)))))) -> 1(1(1(4(4(3(1(1(5(4(x1)))))))))) 0(0(5(1(3(3(x1)))))) -> 0(2(0(1(4(4(5(5(4(4(x1)))))))))) 0(1(3(5(0(1(x1)))))) -> 1(5(0(4(3(3(5(2(3(5(x1)))))))))) 0(5(3(0(2(3(x1)))))) -> 0(0(3(2(3(5(5(0(4(3(x1)))))))))) 1(0(0(5(5(1(x1)))))) -> 0(3(1(1(1(4(4(4(0(1(x1)))))))))) 1(3(4(5(4(5(x1)))))) -> 1(4(5(0(4(3(3(3(1(5(x1)))))))))) 1(4(0(5(4(0(x1)))))) -> 1(0(2(5(5(0(3(0(4(0(x1)))))))))) 2(5(4(0(5(3(x1)))))) -> 5(3(4(3(2(4(3(2(5(2(x1)))))))))) 4(0(1(3(4(5(x1)))))) -> 3(0(5(0(4(4(4(3(3(5(x1)))))))))) 4(1(0(5(3(1(x1)))))) -> 2(0(3(4(1(5(0(2(5(1(x1)))))))))) 4(5(4(5(3(2(x1)))))) -> 0(3(5(3(4(4(4(2(1(2(x1)))))))))) 5(1(2(4(5(3(x1)))))) -> 0(2(1(1(1(0(1(1(5(4(x1)))))))))) 5(1(3(4(5(1(x1)))))) -> 2(0(2(4(4(3(0(1(1(1(x1)))))))))) 0(0(1(1(3(5(3(x1))))))) -> 1(2(1(5(1(3(0(3(5(3(x1)))))))))) 0(1(4(0(5(2(4(x1))))))) -> 1(1(0(1(0(3(2(5(1(4(x1)))))))))) 1(3(4(0(0(0(0(x1))))))) -> 0(1(0(2(3(2(4(3(3(3(x1)))))))))) 1(4(0(0(5(3(5(x1))))))) -> 0(0(1(3(1(4(4(2(2(5(x1)))))))))) 1(4(0(5(4(2(1(x1))))))) -> 0(0(1(5(4(3(3(3(3(5(x1)))))))))) 1(5(1(5(0(5(1(x1))))))) -> 2(2(2(1(1(5(4(5(5(1(x1)))))))))) 2(5(4(5(4(0(1(x1))))))) -> 5(3(0(4(5(0(4(4(3(1(x1)))))))))) 3(1(0(5(3(5(3(x1))))))) -> 4(4(0(3(4(5(3(4(2(3(x1)))))))))) 4(1(5(3(3(5(3(x1))))))) -> 3(1(3(1(1(5(4(3(4(2(x1)))))))))) 4(5(3(5(1(2(5(x1))))))) -> 3(3(2(1(1(5(1(5(5(5(x1)))))))))) 4(5(3(5(5(0(1(x1))))))) -> 4(3(2(2(0(2(2(4(5(1(x1)))))))))) 5(0(0(0(0(0(5(x1))))))) -> 1(5(1(1(4(4(2(0(2(5(x1)))))))))) 5(1(3(2(5(3(0(x1))))))) -> 5(0(4(3(5(1(3(3(1(0(x1)))))))))) 5(1(4(2(4(5(3(x1))))))) -> 0(1(0(2(3(2(1(0(0(3(x1)))))))))) 5(1(4(5(2(4(2(x1))))))) -> 2(5(0(1(5(1(5(2(0(2(x1)))))))))) Proof: String Reversal Processor: 3(5(0(x1))) -> 4(4(4(1(4(0(3(4(0(3(x1)))))))))) 4(3(1(x1))) -> 4(4(3(0(1(5(5(3(4(0(x1)))))))))) 3(5(4(x1))) -> 4(3(3(0(3(2(2(3(4(3(x1)))))))))) 1(3(5(1(x1)))) -> 2(1(1(5(1(1(1(0(1(2(x1)))))))))) 5(0(0(3(x1)))) -> 5(3(0(4(2(1(2(0(2(4(x1)))))))))) 5(3(1(4(x1)))) -> 2(2(5(5(2(4(4(3(0(3(x1)))))))))) 1(5(4(0(0(x1))))) -> 1(2(3(0(0(2(2(5(3(0(x1)))))))))) 5(2(0(1(0(x1))))) -> 2(5(1(1(3(2(0(3(0(1(x1)))))))))) 4(5(4(1(0(x1))))) -> 4(1(3(2(0(1(3(3(0(1(x1)))))))))) 0(4(5(0(1(x1))))) -> 0(1(3(0(0(4(0(2(1(1(x1)))))))))) 4(5(3(5(1(x1))))) -> 4(1(0(1(4(4(1(2(0(2(x1)))))))))) 3(5(0(5(3(x1))))) -> 4(0(2(2(0(0(2(2(2(3(x1)))))))))) 3(1(3(5(4(x1))))) -> 3(4(2(0(5(5(5(3(0(2(x1)))))))))) 5(3(3(5(4(x1))))) -> 5(5(2(5(1(0(1(4(3(3(x1)))))))))) 3(5(4(5(4(x1))))) -> 1(2(5(1(4(3(3(0(3(2(x1)))))))))) 3(5(3(3(5(x1))))) -> 3(3(0(2(0(4(5(4(4(5(x1)))))))))) 3(5(4(1(0(0(x1)))))) -> 4(5(1(1(3(4(4(1(1(1(x1)))))))))) 3(3(1(5(0(0(x1)))))) -> 4(4(5(5(4(4(1(0(2(0(x1)))))))))) 1(0(5(3(1(0(x1)))))) -> 5(3(2(5(3(3(4(0(5(1(x1)))))))))) 3(2(0(3(5(0(x1)))))) -> 3(4(0(5(5(3(2(3(0(0(x1)))))))))) 1(5(5(0(0(1(x1)))))) -> 1(0(4(4(4(1(1(1(3(0(x1)))))))))) 5(4(5(4(3(1(x1)))))) -> 5(1(3(3(3(4(0(5(4(1(x1)))))))))) 0(4(5(0(4(1(x1)))))) -> 0(4(0(3(0(5(5(2(0(1(x1)))))))))) 3(5(0(4(5(2(x1)))))) -> 2(5(2(3(4(2(3(4(3(5(x1)))))))))) 5(4(3(1(0(4(x1)))))) -> 5(3(3(4(4(4(0(5(0(3(x1)))))))))) 1(3(5(0(1(4(x1)))))) -> 1(5(2(0(5(1(4(3(0(2(x1)))))))))) 2(3(5(4(5(4(x1)))))) -> 2(1(2(4(4(4(3(5(3(0(x1)))))))))) 3(5(4(2(1(5(x1)))))) -> 4(5(1(1(0(1(1(1(2(0(x1)))))))))) 1(5(4(3(1(5(x1)))))) -> 1(1(1(0(3(4(4(2(0(2(x1)))))))))) 3(5(3(1(1(0(0(x1))))))) -> 3(5(3(0(3(1(5(1(2(1(x1)))))))))) 4(2(5(0(4(1(0(x1))))))) -> 4(1(5(2(3(0(1(0(1(1(x1)))))))))) 0(0(0(0(4(3(1(x1))))))) -> 3(3(3(4(2(3(2(0(1(0(x1)))))))))) 5(3(5(0(0(4(1(x1))))))) -> 5(2(2(4(4(1(3(1(0(0(x1)))))))))) 1(2(4(5(0(4(1(x1))))))) -> 5(3(3(3(3(4(5(1(0(0(x1)))))))))) 1(5(0(5(1(5(1(x1))))))) -> 1(5(5(4(5(1(1(2(2(2(x1)))))))))) 1(0(4(5(4(5(2(x1))))))) -> 1(3(4(4(0(5(4(0(3(5(x1)))))))))) 3(5(3(5(0(1(3(x1))))))) -> 3(2(4(3(5(4(3(0(4(4(x1)))))))))) 3(5(3(3(5(1(4(x1))))))) -> 2(4(3(4(5(1(1(3(1(3(x1)))))))))) 5(2(1(5(3(5(4(x1))))))) -> 5(5(5(1(5(1(1(2(3(3(x1)))))))))) 1(0(5(5(3(5(4(x1))))))) -> 1(5(4(2(2(0(2(2(3(4(x1)))))))))) 5(0(0(0(0(0(5(x1))))))) -> 5(2(0(2(4(4(1(1(5(1(x1)))))))))) 0(3(5(2(3(1(5(x1))))))) -> 0(1(3(3(1(5(3(4(0(5(x1)))))))))) 3(5(4(2(4(1(5(x1))))))) -> 3(0(0(1(2(3(2(0(1(0(x1)))))))))) 2(4(2(5(4(1(5(x1))))))) -> 2(0(2(5(1(5(1(0(5(2(x1)))))))))) Bounds Processor: bound: 1 enrichment: match automaton: final states: {368,364,355,347,338,330,321,312,304,295,288,280,271, 263,254,247,239,232,225,217,208,200,191,183,174,165, 156,148,138,129,120,112,103,94,85,78,68,59,51,41,31, 22,12,1} transitions: 41(386) -> 387* 41(378) -> 379* 41(411) -> 412* 41(419) -> 420* 41(418) -> 419* 01(435) -> 436* 01(383) -> 384* 01(416) -> 417* 01(433) -> 434* 01(410) -> 411* 40(69) -> 192* 40(102) -> 94* 40(47) -> 48* 40(326) -> 327* 40(194) -> 195* 40(160) -> 161* 40(88) -> 89* 40(13) -> 14* 40(283) -> 284* 40(328) -> 329* 40(188) -> 189* 40(219) -> 220* 40(187) -> 188* 40(349) -> 350* 40(209) -> 210* 40(270) -> 263* 40(186) -> 187* 40(212) -> 213* 40(142) -> 143* 40(97) -> 98* 40(276) -> 277* 40(289) -> 290* 40(20) -> 21* 40(42) -> 313* 40(52) -> 53* 40(7) -> 8* 40(305) -> 306* 40(139) -> 140* 40(111) -> 103* 40(221) -> 222* 40(121) -> 122* 40(140) -> 141* 40(53) -> 54* 40(118) -> 119* 40(84) -> 78* 40(11) -> 1* 40(284) -> 285* 40(164) -> 156* 40(3) -> 23* 40(206) -> 207* 40(315) -> 316* 40(96) -> 248* 40(181) -> 182* 40(150) -> 151* 40(248) -> 249* 40(155) -> 148* 40(234) -> 235* 40(233) -> 234* 40(21) -> 12* 40(159) -> 160* 40(4) -> 5* 40(220) -> 221* 40(235) -> 236* 40(308) -> 309* 40(30) -> 22* 40(350) -> 351* 40(113) -> 226* 40(309) -> 310* 40(246) -> 239* 40(98) -> 99* 40(356) -> 357* 40(300) -> 301* 40(10) -> 11* 40(133) -> 134* 40(9) -> 10* 40(318) -> 319* 40(344) -> 345* 40(149) -> 150* 40(163) -> 164* 40(167) -> 168* 40(2) -> 42* f60() -> 2* 20(104) -> 105* 20(57) -> 58* 20(81) -> 82* 20(86) -> 87* 20(25) -> 26* 20(339) -> 340* 20(329) -> 321* 20(136) -> 137* 20(285) -> 286* 20(13) -> 157* 20(108) -> 109* 20(343) -> 344* 20(319) -> 320* 20(58) -> 51* 20(296) -> 297* 20(44) -> 45* 20(374) -> 375* 20(286) -> 287* 20(3) -> 104* 20(2) -> 32* 20(171) -> 172* 20(216) -> 208* 20(144) -> 145* 20(117) -> 118* 20(66) -> 67* 20(62) -> 63* 20(126) -> 127* 20(109) -> 110* 20(42) -> 43* 20(69) -> 255* 20(214) -> 215* 20(46) -> 47* 20(351) -> 352* 20(211) -> 212* 20(61) -> 62* 20(32) -> 296* 20(238) -> 232* 20(54) -> 55* 20(40) -> 31* 20(95) -> 96* 20(342) -> 343* 20(24) -> 25* 20(273) -> 274* 20(72) -> 73* 20(229) -> 230* 20(105) -> 106* 20(353) -> 354* 20(77) -> 68* 20(275) -> 276* 20(236) -> 237* 20(121) -> 331* 20(376) -> 368* 20(70) -> 201* 20(176) -> 177* 20(340) -> 341* 20(267) -> 268* 50(371) -> 372* 50(113) -> 114* 50(2) -> 139* 50(215) -> 216* 50(245) -> 246* 50(337) -> 330* 50(178) -> 179* 50(55) -> 56* 50(127) -> 128* 50(325) -> 326* 50(268) -> 269* 50(115) -> 116* 50(199) -> 191* 50(37) -> 38* 50(294) -> 288* 50(76) -> 77* 50(114) -> 115* 50(179) -> 180* 50(173) -> 165* 50(345) -> 346* 50(32) -> 369* 50(302) -> 303* 50(224) -> 217* 50(354) -> 347* 50(261) -> 262* 50(306) -> 307* 50(256) -> 257* 50(16) -> 17* 50(154) -> 155* 50(15) -> 16* 50(161) -> 162* 50(316) -> 317* 50(162) -> 163* 50(56) -> 57* 50(373) -> 374* 50(4) -> 218* 50(128) -> 120* 50(202) -> 203* 50(60) -> 61* 50(333) -> 334* 50(69) -> 166* 50(358) -> 359* 50(230) -> 231* 50(50) -> 41* 50(141) -> 142* 50(335) -> 336* 50(281) -> 289* 50(227) -> 228* 50(192) -> 193* 50(336) -> 337* 50(135) -> 136* 50(287) -> 280* 50(201) -> 202* 50(299) -> 300* 50(301) -> 302* 50(125) -> 126* 50(170) -> 171* 10(190) -> 183* 10(240) -> 241* 10(198) -> 199* 10(157) -> 240* 10(39) -> 40* 10(362) -> 363* 10(237) -> 238* 10(153) -> 154* 10(269) -> 270* 10(2) -> 69* 10(122) -> 123* 10(17) -> 18* 10(67) -> 59* 10(297) -> 298* 10(74) -> 75* 10(13) -> 272* 10(348) -> 349* 10(253) -> 247* 10(83) -> 84* 10(334) -> 335* 10(101) -> 102* 10(96) -> 97* 10(184) -> 185* 10(311) -> 304* 10(359) -> 360* 10(255) -> 256* 10(264) -> 265* 10(324) -> 325* 10(69) -> 86* 10(276) -> 365* 10(175) -> 281* 10(243) -> 244* 10(3) -> 322* 10(370) -> 371* 10(36) -> 37* 10(331) -> 332* 10(282) -> 283* 10(75) -> 76* 10(185) -> 186* 10(323) -> 324* 10(92) -> 93* 10(158) -> 159* 10(152) -> 153* 10(79) -> 80* 10(134) -> 135* 10(257) -> 258* 10(231) -> 225* 10(60) -> 184* 10(38) -> 39* 10(99) -> 100* 10(32) -> 33* 10(332) -> 333* 10(34) -> 35* 10(45) -> 46* 10(8) -> 9* 10(35) -> 36* 10(372) -> 373* 10(166) -> 348* 10(86) -> 149* 10(251) -> 252* 10(252) -> 253* 10(298) -> 299* 10(346) -> 338* 10(241) -> 242* 10(137) -> 129* 10(124) -> 125* 10(244) -> 245* 10(226) -> 227* 10(303) -> 295* 30(151) -> 152* 30(65) -> 66* 30(5) -> 6* 30(196) -> 197* 30(278) -> 279* 30(29) -> 30* 30(3) -> 121* 30(146) -> 147* 30(327) -> 328* 30(49) -> 50* 30(204) -> 205* 30(168) -> 169* 30(274) -> 275* 30(314) -> 315* 30(197) -> 198* 30(131) -> 132* 30(262) -> 254* 30(182) -> 174* 30(320) -> 312* 30(367) -> 364* 30(169) -> 170* 30(13) -> 60* 30(139) -> 209* 30(322) -> 323* 30(23) -> 24* 30(195) -> 196* 30(14) -> 15* 30(281) -> 282* 30(277) -> 278* 30(290) -> 291* 30(279) -> 271* 30(172) -> 173* 30(210) -> 211* 30(61) -> 233* 30(258) -> 259* 30(223) -> 224* 30(91) -> 92* 30(260) -> 261* 30(360) -> 361* 30(317) -> 318* 30(70) -> 71* 30(119) -> 112* 30(222) -> 223* 30(292) -> 293* 30(4) -> 52* 30(291) -> 292* 30(266) -> 267* 30(28) -> 29* 30(42) -> 339* 30(293) -> 294* 30(249) -> 250* 30(32) -> 130* 30(361) -> 362* 30(147) -> 138* 30(310) -> 311* 30(19) -> 20* 30(71) -> 79* 30(26) -> 27* 30(177) -> 178* 30(95) -> 113* 30(175) -> 176* 30(82) -> 83* 30(132) -> 133* 30(2) -> 3* 30(357) -> 358* 30(213) -> 214* 30(73) -> 74* 00(218) -> 219* 00(100) -> 101* 00(69) -> 70* 00(375) -> 376* 00(242) -> 243* 00(363) -> 355* 00(2) -> 13* 00(139) -> 356* 00(116) -> 117* 00(259) -> 260* 00(43) -> 44* 00(265) -> 266* 00(250) -> 251* 00(63) -> 64* 00(90) -> 91* 00(107) -> 108* 00(13) -> 175* 00(205) -> 206* 00(71) -> 72* 00(110) -> 111* 00(145) -> 146* 00(6) -> 7* 00(27) -> 28* 00(64) -> 65* 00(18) -> 19* 00(272) -> 273* 00(106) -> 107* 00(228) -> 229* 00(89) -> 90* 00(352) -> 353* 00(87) -> 88* 00(80) -> 81* 00(93) -> 85* 00(143) -> 144* 00(313) -> 314* 00(123) -> 124* 00(48) -> 49* 00(307) -> 308* 00(207) -> 200* 00(32) -> 95* 00(365) -> 366* 00(366) -> 367* 00(33) -> 34* 00(86) -> 264* 00(3) -> 4* 00(193) -> 194* 00(341) -> 342* 00(157) -> 158* 00(209) -> 305* 00(166) -> 167* 00(203) -> 204* 00(180) -> 181* 00(130) -> 131* 00(369) -> 370* 00(189) -> 190* 21(441) -> 442* 21(436) -> 437* 21(381) -> 382* 21(380) -> 381* 11(439) -> 440* 11(432) -> 433* 11(415) -> 416* 11(438) -> 439* 51(413) -> 414* 51(440) -> 441* 51(414) -> 415* 31(437) -> 438* 31(382) -> 383* 31(377) -> 378* 31(379) -> 380* 31(412) -> 413* 31(417) -> 418* 31(385) -> 386* 31(384) -> 385* 31(434) -> 435* 420 -> 122* 247 -> 69* 355 -> 13,4,305 156 -> 3,121 191 -> 139* 312 -> 3,209 94 -> 42,140 321 -> 3,209 442 -> 202* 148 -> 3,209 254 -> 3,209 68 -> 139,369,202 189 -> 432* 137 -> 410* 217 -> 139* 295 -> 69* 112 -> 3,323 85 -> 13* 12 -> 42,23 232 -> 32,104 368 -> 32,43 174 -> 3,130 288 -> 69,33 22 -> 3,209 138 -> 3,209 208 -> 3,209 330 -> 139,369 183 -> 69* 165 -> 69,272 1 -> 3,209 31 -> 69,322 304 -> 69,272 59 -> 69* 347 -> 139* 225 -> 69,322 120 -> 139* 41 -> 139* 129 -> 3,209 387 -> 318* 51 -> 139* 103 -> 3,209 338 -> 69,272 271 -> 13,175 263 -> 42* 315 -> 377* 200 -> 13* 280 -> 139* 364 -> 3,209 239 -> 3,209 78 -> 42,140 problem: Qed