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