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