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