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