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