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