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