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