YES Problem: 0(1(1(2(x1)))) -> 3(3(0(3(3(2(2(0(0(0(x1)))))))))) 5(4(4(0(x1)))) -> 2(3(1(0(0(3(3(3(4(0(x1)))))))))) 0(0(5(0(5(x1))))) -> 2(5(2(2(3(3(3(5(1(0(x1)))))))))) 0(4(1(5(5(x1))))) -> 2(1(3(5(2(2(3(3(2(5(x1)))))))))) 5(0(5(5(0(x1))))) -> 3(4(0(3(0(4(0(3(3(5(x1)))))))))) 5(0(5(5(5(x1))))) -> 5(1(3(0(3(3(1(3(1(2(x1)))))))))) 5(5(2(1(0(x1))))) -> 3(3(1(3(3(0(4(5(1(2(x1)))))))))) 0(1(0(5(5(2(x1)))))) -> 0(2(3(2(4(0(1(3(2(0(x1)))))))))) 0(2(1(5(5(2(x1)))))) -> 0(3(4(2(1(2(0(1(2(3(x1)))))))))) 0(4(0(5(3(1(x1)))))) -> 3(2(3(2(2(3(4(0(1(1(x1)))))))))) 0(4(0(5(3(4(x1)))))) -> 0(0(0(0(3(0(4(4(5(1(x1)))))))))) 0(4(4(4(5(4(x1)))))) -> 3(2(0(2(1(3(0(4(5(4(x1)))))))))) 0(5(4(5(5(5(x1)))))) -> 3(3(4(3(1(4(4(3(3(5(x1)))))))))) 1(1(1(5(3(4(x1)))))) -> 1(5(1(3(3(3(2(0(4(4(x1)))))))))) 1(1(4(1(5(5(x1)))))) -> 4(2(3(0(4(4(1(0(0(4(x1)))))))))) 2(1(1(1(4(5(x1)))))) -> 2(0(4(2(0(3(3(2(1(5(x1)))))))))) 3(1(1(1(5(4(x1)))))) -> 3(3(5(4(1(5(1(3(5(4(x1)))))))))) 4(4(0(5(5(2(x1)))))) -> 0(1(2(2(0(2(0(1(4(2(x1)))))))))) 4(4(1(1(5(0(x1)))))) -> 4(0(3(2(2(1(1(0(4(0(x1)))))))))) 4(4(4(0(5(0(x1)))))) -> 3(4(0(0(1(3(4(2(3(2(x1)))))))))) 5(0(5(5(3(1(x1)))))) -> 5(0(5(1(3(0(0(3(0(1(x1)))))))))) 5(5(1(1(0(3(x1)))))) -> 3(3(0(2(5(1(3(3(2(3(x1)))))))))) 0(2(2(5(4(5(2(x1))))))) -> 3(2(2(3(5(2(0(3(2(2(x1)))))))))) 0(4(5(2(1(5(0(x1))))))) -> 0(2(3(2(0(1(5(4(1(2(x1)))))))))) 0(5(0(5(5(0(0(x1))))))) -> 0(2(4(0(3(0(3(5(4(0(x1)))))))))) 0(5(4(3(5(2(4(x1))))))) -> 0(3(1(3(0(0(4(3(2(4(x1)))))))))) 0(5(5(5(1(5(5(x1))))))) -> 0(1(0(1(3(5(1(3(2(5(x1)))))))))) 1(0(0(5(0(1(3(x1))))))) -> 1(2(0(3(3(4(0(2(1(3(x1)))))))))) 1(5(5(5(2(2(0(x1))))))) -> 3(0(4(2(0(2(1(0(3(2(x1)))))))))) 2(1(0(4(5(5(2(x1))))))) -> 4(3(3(2(1(2(4(1(2(3(x1)))))))))) 2(1(1(5(5(5(0(x1))))))) -> 3(3(4(5(3(2(1(4(3(0(x1)))))))))) 2(1(5(3(4(4(0(x1))))))) -> 4(3(2(3(0(1(3(4(3(0(x1)))))))))) 2(1(5(5(3(4(4(x1))))))) -> 3(3(1(3(3(1(5(5(4(4(x1)))))))))) 4(1(1(3(1(0(2(x1))))))) -> 4(2(3(5(2(2(0(0(0(0(x1)))))))))) 4(1(5(0(5(1(4(x1))))))) -> 0(1(0(1(1(0(0(0(0(1(x1)))))))))) 4(4(4(1(1(5(3(x1))))))) -> 4(4(2(5(3(3(4(3(3(2(x1)))))))))) 4(4(4(5(5(5(0(x1))))))) -> 0(4(0(4(1(3(0(4(3(2(x1)))))))))) 4(5(5(1(1(3(4(x1))))))) -> 0(2(3(2(0(4(4(5(2(4(x1)))))))))) 5(2(0(5(4(0(5(x1))))))) -> 3(3(0(4(3(1(5(2(3(2(x1)))))))))) 5(2(4(5(3(4(4(x1))))))) -> 2(0(5(2(3(3(5(1(3(4(x1)))))))))) 5(3(1(5(4(4(0(x1))))))) -> 1(0(3(2(1(3(1(0(4(0(x1)))))))))) 5(4(4(0(4(5(0(x1))))))) -> 2(3(5(2(2(5(0(4(3(0(x1)))))))))) 5(5(2(2(1(1(5(x1))))))) -> 3(3(4(2(3(1(1(3(2(4(x1)))))))))) 5(5(2(5(1(4(0(x1))))))) -> 4(3(1(3(2(0(0(4(3(2(x1)))))))))) 5(5(5(0(0(1(3(x1))))))) -> 5(4(1(2(3(0(0(1(1(3(x1)))))))))) Proof: String Reversal Processor: 2(1(1(0(x1)))) -> 0(0(0(2(2(3(3(0(3(3(x1)))))))))) 0(4(4(5(x1)))) -> 0(4(3(3(3(0(0(1(3(2(x1)))))))))) 5(0(5(0(0(x1))))) -> 0(1(5(3(3(3(2(2(5(2(x1)))))))))) 5(5(1(4(0(x1))))) -> 5(2(3(3(2(2(5(3(1(2(x1)))))))))) 0(5(5(0(5(x1))))) -> 5(3(3(0(4(0(3(0(4(3(x1)))))))))) 5(5(5(0(5(x1))))) -> 2(1(3(1(3(3(0(3(1(5(x1)))))))))) 0(1(2(5(5(x1))))) -> 2(1(5(4(0(3(3(1(3(3(x1)))))))))) 2(5(5(0(1(0(x1)))))) -> 0(2(3(1(0(4(2(3(2(0(x1)))))))))) 2(5(5(1(2(0(x1)))))) -> 3(2(1(0(2(1(2(4(3(0(x1)))))))))) 1(3(5(0(4(0(x1)))))) -> 1(1(0(4(3(2(2(3(2(3(x1)))))))))) 4(3(5(0(4(0(x1)))))) -> 1(5(4(4(0(3(0(0(0(0(x1)))))))))) 4(5(4(4(4(0(x1)))))) -> 4(5(4(0(3(1(2(0(2(3(x1)))))))))) 5(5(5(4(5(0(x1)))))) -> 5(3(3(4(4(1(3(4(3(3(x1)))))))))) 4(3(5(1(1(1(x1)))))) -> 4(4(0(2(3(3(3(1(5(1(x1)))))))))) 5(5(1(4(1(1(x1)))))) -> 4(0(0(1(4(4(0(3(2(4(x1)))))))))) 5(4(1(1(1(2(x1)))))) -> 5(1(2(3(3(0(2(4(0(2(x1)))))))))) 4(5(1(1(1(3(x1)))))) -> 4(5(3(1(5(1(4(5(3(3(x1)))))))))) 2(5(5(0(4(4(x1)))))) -> 2(4(1(0(2(0(2(2(1(0(x1)))))))))) 0(5(1(1(4(4(x1)))))) -> 0(4(0(1(1(2(2(3(0(4(x1)))))))))) 0(5(0(4(4(4(x1)))))) -> 2(3(2(4(3(1(0(0(4(3(x1)))))))))) 1(3(5(5(0(5(x1)))))) -> 1(0(3(0(0(3(1(5(0(5(x1)))))))))) 3(0(1(1(5(5(x1)))))) -> 3(2(3(3(1(5(2(0(3(3(x1)))))))))) 2(5(4(5(2(2(0(x1))))))) -> 2(2(3(0(2(5(3(2(2(3(x1)))))))))) 0(5(1(2(5(4(0(x1))))))) -> 2(1(4(5(1(0(2(3(2(0(x1)))))))))) 0(0(5(5(0(5(0(x1))))))) -> 0(4(5(3(0(3(0(4(2(0(x1)))))))))) 4(2(5(3(4(5(0(x1))))))) -> 4(2(3(4(0(0(3(1(3(0(x1)))))))))) 5(5(1(5(5(5(0(x1))))))) -> 5(2(3(1(5(3(1(0(1(0(x1)))))))))) 3(1(0(5(0(0(1(x1))))))) -> 3(1(2(0(4(3(3(0(2(1(x1)))))))))) 0(2(2(5(5(5(1(x1))))))) -> 2(3(0(1(2(0(2(4(0(3(x1)))))))))) 2(5(5(4(0(1(2(x1))))))) -> 3(2(1(4(2(1(2(3(3(4(x1)))))))))) 0(5(5(5(1(1(2(x1))))))) -> 0(3(4(1(2(3(5(4(3(3(x1)))))))))) 0(4(4(3(5(1(2(x1))))))) -> 0(3(4(3(1(0(3(2(3(4(x1)))))))))) 4(4(3(5(5(1(2(x1))))))) -> 4(4(5(5(1(3(3(1(3(3(x1)))))))))) 2(0(1(3(1(1(4(x1))))))) -> 0(0(0(0(2(2(5(3(2(4(x1)))))))))) 4(1(5(0(5(1(4(x1))))))) -> 1(0(0(0(0(1(1(0(1(0(x1)))))))))) 3(5(1(1(4(4(4(x1))))))) -> 2(3(3(4(3(3(5(2(4(4(x1)))))))))) 0(5(5(5(4(4(4(x1))))))) -> 2(3(4(0(3(1(4(0(4(0(x1)))))))))) 4(3(1(1(5(5(4(x1))))))) -> 4(2(5(4(4(0(2(3(2(0(x1)))))))))) 5(0(4(5(0(2(5(x1))))))) -> 2(3(2(5(1(3(4(0(3(3(x1)))))))))) 4(4(3(5(4(2(5(x1))))))) -> 4(3(1(5(3(3(2(5(0(2(x1)))))))))) 0(4(4(5(1(3(5(x1))))))) -> 0(4(0(1(3(1(2(3(0(1(x1)))))))))) 0(5(4(0(4(4(5(x1))))))) -> 0(3(4(0(5(2(2(5(3(2(x1)))))))))) 5(1(1(2(2(5(5(x1))))))) -> 4(2(3(1(1(3(2(4(3(3(x1)))))))))) 0(4(1(5(2(5(5(x1))))))) -> 2(3(4(0(0(2(3(1(3(4(x1)))))))))) 3(1(0(0(5(5(5(x1))))))) -> 3(1(1(0(0(3(2(1(4(5(x1)))))))))) Bounds Processor: bound: 1 enrichment: match automaton: final states: {366,358,351,343,334,326,319,314,305,296,290,283,278, 270,263,254,245,236,228,220,212,206,198,191,182,175, 166,157,149,140,130,120,112,104,95,86,77,67,59,49, 40,31,22,12,1} transitions: 10(243) -> 244* 10(266) -> 267* 10(73) -> 74* 10(2) -> 121* 10(337) -> 338* 10(55) -> 56* 10(68) -> 158* 10(331) -> 332* 10(210) -> 211* 10(114) -> 115* 10(367) -> 368* 10(250) -> 251* 10(176) -> 177* 10(163) -> 164* 10(57) -> 58* 10(229) -> 230* 10(190) -> 182* 10(65) -> 66* 10(354) -> 355* 10(308) -> 309* 10(62) -> 279* 10(80) -> 81* 10(321) -> 322* 10(103) -> 95* 10(14) -> 15* 10(273) -> 274* 10(193) -> 194* 10(232) -> 233* 10(83) -> 84* 10(147) -> 148* 10(93) -> 94* 10(339) -> 340* 10(207) -> 208* 10(13) -> 32* 10(295) -> 290* 10(184) -> 185* 10(373) -> 374* 10(4) -> 60* 10(260) -> 261* 10(136) -> 137* 10(94) -> 86* 10(230) -> 291* 10(50) -> 51* 10(257) -> 258* 10(153) -> 154* 10(122) -> 123* 10(353) -> 354* 10(372) -> 373* 10(151) -> 152* 10(255) -> 359* 10(78) -> 221* 10(171) -> 172* 10(106) -> 107* 10(29) -> 30* 10(170) -> 171* 31(379) -> 380* 31(398) -> 399* 31(378) -> 379* 31(402) -> 403* 31(404) -> 405* 31(403) -> 404* 31(375) -> 376* 31(376) -> 377* 21(380) -> 381* 21(397) -> 398* 21(381) -> 382* 00(160) -> 161* 00(72) -> 73* 00(158) -> 229* 00(68) -> 96* 00(13) -> 141* 00(370) -> 371* 00(286) -> 287* 00(287) -> 288* 00(219) -> 212* 00(187) -> 188* 00(16) -> 17* 00(41) -> 42* 00(162) -> 163* 00(108) -> 109* 00(186) -> 187* 00(97) -> 98* 00(143) -> 144* 00(174) -> 166* 00(289) -> 283* 00(342) -> 334* 00(82) -> 83* 00(42) -> 176* 00(293) -> 294* 00(127) -> 128* 00(172) -> 173* 00(45) -> 46* 00(340) -> 341* 00(52) -> 53* 00(15) -> 16* 00(361) -> 362* 00(251) -> 252* 00(137) -> 138* 00(269) -> 263* 00(241) -> 242* 00(347) -> 348* 00(121) -> 335* 00(62) -> 63* 00(87) -> 105* 00(11) -> 1* 00(3) -> 246* 00(272) -> 273* 00(223) -> 224* 00(96) -> 97* 00(248) -> 249* 00(138) -> 139* 00(76) -> 67* 00(292) -> 293* 00(222) -> 223* 00(21) -> 12* 00(4) -> 5* 00(92) -> 93* 00(43) -> 44* 00(71) -> 207* 00(131) -> 167* 00(291) -> 292* 00(189) -> 190* 00(294) -> 295* 00(215) -> 216* 00(30) -> 22* 00(350) -> 343* 00(310) -> 311* 00(99) -> 100* 00(50) -> 183* 00(213) -> 214* 00(277) -> 270* 00(202) -> 203* 00(10) -> 11* 00(133) -> 134* 00(288) -> 289* 00(371) -> 372* 00(306) -> 307* 00(9) -> 10* 00(362) -> 363* 00(237) -> 238* 00(2) -> 68* 40(5) -> 320* 40(246) -> 247* 40(101) -> 102* 40(301) -> 302* 40(341) -> 342* 40(3) -> 41* 40(240) -> 241* 40(178) -> 179* 40(307) -> 308* 40(259) -> 260* 40(282) -> 278* 40(69) -> 213* 40(363) -> 364* 40(131) -> 297* 40(116) -> 117* 40(63) -> 64* 40(156) -> 149* 40(139) -> 130* 40(134) -> 135* 40(128) -> 129* 40(281) -> 282* 40(315) -> 316* 40(68) -> 306* 40(135) -> 136* 40(141) -> 142* 40(333) -> 326* 40(207) -> 315* 40(91) -> 92* 40(150) -> 151* 40(267) -> 268* 40(164) -> 165* 40(218) -> 219* 40(100) -> 101* 40(224) -> 225* 40(173) -> 174* 40(115) -> 116* 40(4) -> 113* 40(50) -> 367* 40(209) -> 210* 40(348) -> 349* 40(44) -> 45* 40(318) -> 314* 40(227) -> 220* 40(129) -> 120* 40(71) -> 72* 40(275) -> 276* 40(311) -> 312* 40(78) -> 79* 40(2) -> 131* 40(357) -> 351* 40(109) -> 110* 40(20) -> 21* 40(111) -> 104* 01(377) -> 378* 01(382) -> 383* 01(384) -> 385* 01(400) -> 401* 01(406) -> 407* 01(401) -> 402* 01(383) -> 384* 30(132) -> 133* 30(188) -> 189* 30(264) -> 265* 30(255) -> 256* 30(54) -> 55* 30(216) -> 217* 30(194) -> 195* 30(69) -> 70* 30(329) -> 330* 30(17) -> 18* 30(154) -> 155* 30(85) -> 77* 30(185) -> 186* 30(2) -> 3* 30(47) -> 48* 30(36) -> 37* 30(225) -> 226* 30(124) -> 125* 30(117) -> 118* 30(5) -> 6* 30(338) -> 339* 30(90) -> 91* 30(309) -> 310* 30(349) -> 350* 30(107) -> 108* 30(13) -> 14* 30(214) -> 215* 30(233) -> 234* 30(42) -> 43* 30(320) -> 321* 30(230) -> 231* 30(299) -> 300* 30(177) -> 178* 30(262) -> 254* 30(274) -> 275* 30(145) -> 146* 30(60) -> 61* 30(131) -> 255* 30(6) -> 7* 30(27) -> 28* 30(302) -> 303* 30(118) -> 119* 30(113) -> 114* 30(332) -> 333* 30(199) -> 200* 30(68) -> 78* 30(18) -> 19* 30(56) -> 57* 30(324) -> 325* 30(238) -> 239* 30(197) -> 191* 30(328) -> 329* 30(352) -> 353* 30(87) -> 88* 30(167) -> 168* 30(268) -> 269* 30(276) -> 277* 30(26) -> 27* 30(61) -> 62* 30(123) -> 124* 30(312) -> 313* 30(364) -> 365* 30(32) -> 33* 30(125) -> 126* 30(98) -> 99* 30(195) -> 196* 30(303) -> 304* 30(335) -> 336* 30(271) -> 272* 30(25) -> 26* 30(3) -> 4* 30(359) -> 360* 30(252) -> 253* 30(144) -> 145* 30(374) -> 366* 30(37) -> 38* 30(300) -> 301* 30(46) -> 47* 30(19) -> 20* 30(203) -> 204* 30(53) -> 54* 30(180) -> 181* 30(369) -> 370* 30(74) -> 75* 30(239) -> 240* 30(355) -> 356* 30(244) -> 236* 30(51) -> 52* 30(221) -> 222* 11(399) -> 400* 20(89) -> 90* 20(66) -> 59* 20(211) -> 206* 20(68) -> 69* 20(24) -> 25* 20(256) -> 257* 20(2) -> 13* 20(336) -> 337* 20(360) -> 361* 20(5) -> 192* 20(317) -> 318* 20(297) -> 298* 20(181) -> 175* 20(325) -> 319* 20(253) -> 245* 20(146) -> 147* 20(261) -> 262* 20(161) -> 162* 20(304) -> 296* 20(196) -> 197* 20(204) -> 205* 20(285) -> 286* 20(345) -> 346* 20(113) -> 352* 20(255) -> 271* 20(313) -> 305* 20(121) -> 237* 20(234) -> 235* 20(284) -> 285* 20(249) -> 250* 20(3) -> 87* 20(87) -> 199* 20(75) -> 76* 20(88) -> 89* 20(131) -> 132* 20(323) -> 324* 20(201) -> 202* 20(258) -> 259* 20(158) -> 159* 20(242) -> 243* 20(79) -> 80* 20(247) -> 248* 20(38) -> 39* 20(265) -> 266* 20(168) -> 169* 20(365) -> 358* 20(105) -> 106* 20(344) -> 345* 20(34) -> 35* 20(356) -> 357* 20(84) -> 85* 20(179) -> 180* 20(8) -> 9* 20(35) -> 36* 20(205) -> 198* 20(58) -> 49* 20(368) -> 369* 20(7) -> 8* 20(169) -> 170* 20(142) -> 143* 20(159) -> 160* 20(327) -> 328* 20(81) -> 82* 20(165) -> 157* 20(70) -> 71* 20(23) -> 24* 20(126) -> 127* 20(226) -> 227* 41(405) -> 406* 50(141) -> 327* 50(39) -> 31* 50(102) -> 103* 50(13) -> 23* 50(33) -> 34* 50(346) -> 347* 50(110) -> 111* 50(208) -> 209* 50(28) -> 29* 50(298) -> 299* 50(231) -> 232* 50(316) -> 317* 50(2) -> 50* 50(113) -> 264* 50(148) -> 140* 50(279) -> 280* 50(14) -> 344* 50(4) -> 150* 50(192) -> 193* 50(119) -> 112* 50(280) -> 281* 50(133) -> 284* 50(183) -> 184* 50(217) -> 218* 50(322) -> 323* 50(152) -> 153* 50(200) -> 201* 50(155) -> 156* 50(330) -> 331* 50(48) -> 40* 50(121) -> 122* 50(235) -> 228* 50(64) -> 65* f60() -> 2* 228 -> 50* 191 -> 3,78,336 166 -> 68,183 351 -> 50,122 358 -> 68,167 92 -> 375* 254 -> 13* 206 -> 68,183 245 -> 68,141 198 -> 13* 278 -> 131,297 182 -> 121* 290 -> 131* 236 -> 3* 140 -> 50* 104 -> 131,367 77 -> 13* 112 -> 50* 12 -> 68,167 212 -> 68,96 67 -> 13* 283 -> 13,69 270 -> 68,167 22 -> 50,184 220 -> 131* 407 -> 167* 385 -> 237* 296 -> 3* 86 -> 121* 343 -> 68,183 334 -> 68,167 305 -> 68,183 40 -> 68,183 1 -> 13,237 49 -> 50* 31 -> 50* 130 -> 50* 175 -> 68,183 319 -> 50* 59 -> 68,335 95 -> 131,41 120 -> 131,41 149 -> 131,367 326 -> 131,297 263 -> 68,183 280 -> 397* 366 -> 3* 157 -> 13* 314 -> 131,41 problem: Qed