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