YES Problem: 0(1(1(2(x1)))) -> 0(1(0(x1))) 0(3(4(4(x1)))) -> 0(3(2(x1))) 3(0(4(3(4(x1))))) -> 5(1(0(3(4(x1))))) 3(1(1(1(4(x1))))) -> 3(2(0(4(x1)))) 3(3(1(2(2(1(x1)))))) -> 0(0(0(3(5(1(x1)))))) 4(1(4(0(0(3(x1)))))) -> 4(4(0(2(2(x1))))) 2(4(3(5(4(3(1(x1))))))) -> 5(1(2(0(4(1(x1)))))) 5(2(2(0(1(3(4(x1))))))) -> 5(2(5(3(4(0(0(x1))))))) 5(5(3(0(0(3(1(x1))))))) -> 5(4(4(1(4(2(3(x1))))))) 0(5(1(0(3(1(3(3(x1)))))))) -> 3(3(4(2(5(3(3(x1))))))) 1(2(2(2(4(5(3(0(3(0(x1)))))))))) -> 1(0(1(3(0(2(3(4(0(x1))))))))) 4(3(5(2(1(0(4(0(2(5(x1)))))))))) -> 1(0(1(1(1(4(3(4(5(5(x1)))))))))) 1(4(3(3(5(1(0(5(4(4(5(x1))))))))))) -> 4(2(5(5(3(0(3(3(1(5(x1)))))))))) 2(1(4(3(4(5(4(0(2(0(0(3(x1)))))))))))) -> 3(2(4(1(5(2(5(2(1(1(1(x1))))))))))) 3(2(3(3(2(4(2(4(2(4(0(1(x1)))))))))))) -> 2(0(3(0(3(0(0(0(2(2(0(1(x1)))))))))))) 4(1(5(3(4(4(2(4(4(5(2(4(x1)))))))))))) -> 4(3(5(3(1(0(0(4(5(4(4(x1))))))))))) 0(2(0(4(0(4(2(4(4(3(5(2(5(x1))))))))))))) -> 0(1(5(4(0(1(5(3(4(3(3(5(x1)))))))))))) 3(3(5(3(2(0(4(5(2(4(0(3(2(2(x1)))))))))))))) -> 3(3(5(3(5(3(3(5(1(3(3(5(0(2(x1)))))))))))))) 1(4(2(5(5(0(1(3(1(0(1(0(1(2(2(3(x1)))))))))))))))) -> 2(2(4(1(1(0(1(0(1(4(4(5(2(1(3(1(3(x1))))))))))))))))) 5(3(5(1(3(3(2(5(3(5(4(1(5(2(0(3(x1)))))))))))))))) -> 5(3(5(4(4(5(2(1(4(4(1(3(2(4(3(1(x1)))))))))))))))) 5(5(3(2(5(1(3(4(1(0(1(0(3(3(5(4(4(x1))))))))))))))))) -> 5(3(2(1(4(1(5(0(5(5(5(3(1(2(4(1(2(x1))))))))))))))))) 0(3(4(4(5(4(4(5(0(1(5(5(5(5(0(3(3(1(x1)))))))))))))))))) -> 0(2(1(1(5(3(5(2(4(4(0(2(3(2(3(0(1(1(x1)))))))))))))))))) 3(5(0(3(5(4(2(5(3(4(2(3(3(4(2(5(0(0(x1)))))))))))))))))) -> 0(1(2(1(4(0(5(2(0(2(5(3(5(1(3(2(0(x1))))))))))))))))) 0(3(4(1(2(4(5(1(3(2(2(1(3(1(5(5(1(5(0(x1))))))))))))))))))) -> 3(0(4(1(5(1(3(3(4(0(1(0(0(1(0(2(0(x1))))))))))))))))) 2(4(2(1(1(4(3(2(1(1(4(4(0(3(3(4(1(5(3(4(x1)))))))))))))))))))) -> 0(2(5(5(3(2(3(3(5(3(0(0(0(0(3(2(1(3(2(x1))))))))))))))))))) Proof: String Reversal Processor: 2(1(1(0(x1)))) -> 0(1(0(x1))) 4(4(3(0(x1)))) -> 2(3(0(x1))) 4(3(4(0(3(x1))))) -> 4(3(0(1(5(x1))))) 4(1(1(1(3(x1))))) -> 4(0(2(3(x1)))) 1(2(2(1(3(3(x1)))))) -> 1(5(3(0(0(0(x1)))))) 3(0(0(4(1(4(x1)))))) -> 2(2(0(4(4(x1))))) 1(3(4(5(3(4(2(x1))))))) -> 1(4(0(2(1(5(x1)))))) 4(3(1(0(2(2(5(x1))))))) -> 0(0(4(3(5(2(5(x1))))))) 1(3(0(0(3(5(5(x1))))))) -> 3(2(4(1(4(4(5(x1))))))) 3(3(1(3(0(1(5(0(x1)))))))) -> 3(3(5(2(4(3(3(x1))))))) 0(3(0(3(5(4(2(2(2(1(x1)))))))))) -> 0(4(3(2(0(3(1(0(1(x1))))))))) 5(2(0(4(0(1(2(5(3(4(x1)))))))))) -> 5(5(4(3(4(1(1(1(0(1(x1)))))))))) 5(4(4(5(0(1(5(3(3(4(1(x1))))))))))) -> 5(1(3(3(0(3(5(5(2(4(x1)))))))))) 3(0(0(2(0(4(5(4(3(4(1(2(x1)))))))))))) -> 1(1(1(2(5(2(5(1(4(2(3(x1))))))))))) 1(0(4(2(4(2(4(2(3(3(2(3(x1)))))))))))) -> 1(0(2(2(0(0(0(3(0(3(0(2(x1)))))))))))) 4(2(5(4(4(2(4(4(3(5(1(4(x1)))))))))))) -> 4(4(5(4(0(0(1(3(5(3(4(x1))))))))))) 5(2(5(3(4(4(2(4(0(4(0(2(0(x1))))))))))))) -> 5(3(3(4(3(5(1(0(4(5(1(0(x1)))))))))))) 2(2(3(0(4(2(5(4(0(2(3(5(3(3(x1)))))))))))))) -> 2(0(5(3(3(1(5(3(3(5(3(5(3(3(x1)))))))))))))) 3(2(2(1(0(1(0(1(3(1(0(5(5(2(4(1(x1)))))))))))))))) -> 3(1(3(1(2(5(4(4(1(0(1(0(1(1(4(2(2(x1))))))))))))))))) 3(0(2(5(1(4(5(3(5(2(3(3(1(5(3(5(x1)))))))))))))))) -> 1(3(4(2(3(1(4(4(1(2(5(4(4(5(3(5(x1)))))))))))))))) 4(4(5(3(3(0(1(0(1(4(3(1(5(2(3(5(5(x1))))))))))))))))) -> 2(1(4(2(1(3(5(5(5(0(5(1(4(1(2(3(5(x1))))))))))))))))) 1(3(3(0(5(5(5(5(1(0(5(4(4(5(4(4(3(0(x1)))))))))))))))))) -> 1(1(0(3(2(3(2(0(4(4(2(5(3(5(1(1(2(0(x1)))))))))))))))))) 0(0(5(2(4(3(3(2(4(3(5(2(4(5(3(0(5(3(x1)))))))))))))))))) -> 0(2(3(1(5(3(5(2(0(2(5(0(4(1(2(1(0(x1))))))))))))))))) 0(5(1(5(5(1(3(1(2(2(3(1(5(4(2(1(4(3(0(x1))))))))))))))))))) -> 0(2(0(1(0(0(1(0(4(3(3(1(5(1(4(0(3(x1))))))))))))))))) 4(3(5(1(4(3(3(0(4(4(1(1(2(3(4(1(1(2(4(2(x1)))))))))))))))))))) -> 2(3(1(2(3(0(0(0(0(3(5(3(3(2(3(5(5(2(0(x1))))))))))))))))))) Bounds Processor: bound: 1 enrichment: match automaton: final states: {220,204,189,172,157,142,126,114,104,94,82,73,64,57,48,42,36,30,26,21,16,12,7,5,1} transitions: 21(239) -> 240* 01(237) -> 238* 00(68) -> 69* 00(88) -> 89* 00(13) -> 205* 00(106) -> 107* 00(231) -> 232* 00(219) -> 204* 00(34) -> 35* 00(162) -> 163* 00(229) -> 230* 00(186) -> 187* 00(212) -> 213* 00(85) -> 86* 00(195) -> 196* 00(35) -> 30* 00(52) -> 53* 00(27) -> 28* 00(130) -> 131* 00(228) -> 229* 00(132) -> 133* 00(23) -> 24* 00(203) -> 189* 00(83) -> 84* 00(87) -> 88* 00(14) -> 15* 00(192) -> 193* 00(17) -> 18* 00(214) -> 215* 00(3) -> 17* 00(89) -> 90* 00(181) -> 182* 00(124) -> 125* 00(4) -> 1* 00(92) -> 93* 00(217) -> 218* 00(215) -> 216* 00(99) -> 100* 00(98) -> 99* 00(49) -> 50* 00(230) -> 231* 00(9) -> 10* 00(56) -> 48* 00(2) -> 3* f60() -> 2* 50(207) -> 208* 50(136) -> 137* 50(226) -> 227* 50(161) -> 162* 50(101) -> 102* 50(108) -> 109* 50(164) -> 165* 50(116) -> 117* 50(143) -> 144* 50(75) -> 76* 50(221) -> 222* 50(45) -> 46* 50(163) -> 164* 50(2) -> 8* 50(113) -> 104* 50(177) -> 178* 50(43) -> 115* 50(63) -> 57* 50(4) -> 105* 50(66) -> 67* 50(119) -> 120* 50(62) -> 63* 50(165) -> 166* 50(199) -> 200* 50(173) -> 221* 50(19) -> 20* 50(95) -> 96* 50(175) -> 176* 50(193) -> 194* 50(72) -> 64* 50(197) -> 198* 50(65) -> 66* 50(77) -> 78* 50(123) -> 124* 50(146) -> 147* 50(31) -> 32* 40(2) -> 22* 40(105) -> 106* 40(55) -> 56* 40(127) -> 128* 40(37) -> 38* 40(33) -> 34* 40(205) -> 206* 40(134) -> 135* 40(180) -> 181* 40(144) -> 145* 40(179) -> 180* 40(110) -> 111* 40(150) -> 151* 40(102) -> 103* 40(145) -> 146* 40(103) -> 94* 40(14) -> 74* 40(154) -> 155* 40(159) -> 160* 40(149) -> 150* 40(15) -> 12* 40(22) -> 23* 40(39) -> 40* 40(43) -> 44* 40(28) -> 29* 40(11) -> 7* 40(169) -> 170* 40(59) -> 60* 40(211) -> 212* 40(61) -> 62* 40(135) -> 136* 40(8) -> 37* 40(191) -> 192* 40(100) -> 101* 10(190) -> 191* 10(138) -> 139* 10(188) -> 172* 10(2) -> 49* 10(93) -> 82* 10(133) -> 134* 10(71) -> 72* 10(74) -> 75* 10(20) -> 16* 10(80) -> 81* 10(208) -> 209* 10(128) -> 129* 10(50) -> 51* 10(140) -> 141* 10(234) -> 235* 10(97) -> 98* 10(3) -> 4* 10(29) -> 26* 10(129) -> 130* 10(131) -> 132* 10(158) -> 159* 10(120) -> 121* 10(187) -> 188* 10(79) -> 80* 10(213) -> 214* 10(107) -> 108* 10(167) -> 168* 10(38) -> 39* 10(174) -> 175* 10(8) -> 9* 10(51) -> 58* 10(58) -> 59* 10(173) -> 174* 10(156) -> 142* 10(160) -> 161* 10(216) -> 217* 10(81) -> 73* 10(200) -> 201* 10(170) -> 171* 10(206) -> 207* 10(148) -> 149* 10(151) -> 152* 30(22) -> 95* 30(122) -> 123* 30(96) -> 97* 30(10) -> 11* 30(3) -> 6* 30(86) -> 87* 30(166) -> 167* 30(121) -> 122* 30(69) -> 70* 30(67) -> 68* 30(84) -> 85* 30(118) -> 119* 30(13) -> 43* 30(139) -> 140* 30(54) -> 55* 30(183) -> 184* 30(18) -> 19* 30(210) -> 211* 30(141) -> 126* 30(176) -> 177* 30(60) -> 61* 30(8) -> 143* 30(198) -> 199* 30(47) -> 42* 30(185) -> 186* 30(70) -> 71* 30(232) -> 233* 30(222) -> 223* 30(224) -> 225* 30(112) -> 113* 30(46) -> 47* 30(115) -> 116* 30(209) -> 210* 30(32) -> 33* 30(201) -> 202* 30(227) -> 228* 30(51) -> 52* 30(152) -> 153* 30(225) -> 226* 30(155) -> 156* 30(117) -> 118* 30(235) -> 236* 30(2) -> 13* 30(109) -> 110* 30(111) -> 112* 30(41) -> 36* 20(218) -> 219* 20(153) -> 154* 20(194) -> 195* 20(168) -> 169* 20(223) -> 224* 20(147) -> 148* 20(178) -> 179* 20(2) -> 83* 20(22) -> 65* 20(40) -> 41* 20(182) -> 183* 20(202) -> 203* 20(4) -> 190* 20(90) -> 91* 20(13) -> 14* 20(196) -> 197* 20(76) -> 77* 20(233) -> 234* 20(171) -> 157* 20(236) -> 220* 20(6) -> 5* 20(83) -> 127* 20(9) -> 27* 20(8) -> 31* 20(143) -> 158* 20(184) -> 185* 20(24) -> 25* 20(91) -> 92* 20(125) -> 114* 20(44) -> 45* 20(25) -> 21* 20(3) -> 173* 20(78) -> 79* 20(53) -> 54* 20(137) -> 138* 31(238) -> 239* 94 -> 22* 142 -> 13,6,85 48 -> 3,205 240 -> 23* 189 -> 3,17 64 -> 8* 42 -> 13,43 30 -> 22* 126 -> 13* 7 -> 22* 104 -> 8,32 12 -> 22* 114 -> 65,83,127 16 -> 49* 82 -> 49,4 204 -> 3* 220 -> 22* 172 -> 49* 21 -> 13,6 36 -> 49* 26 -> 49* 73 -> 13,6 1 -> 83* 5 -> 22,23 9 -> 237* 57 -> 8,221 157 -> 22,23,38 problem: Qed