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