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