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