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