YES Problem: 5(5(x1)) -> 0(5(4(0(2(5(4(5(2(1(x1)))))))))) 5(5(x1)) -> 3(4(1(1(1(1(4(4(0(4(x1)))))))))) 2(5(5(x1))) -> 4(2(5(4(4(0(0(1(1(2(x1)))))))))) 5(2(4(x1))) -> 0(5(0(2(3(3(4(2(4(2(x1)))))))))) 5(5(2(x1))) -> 0(1(3(2(3(0(3(2(5(3(x1)))))))))) 5(5(3(x1))) -> 0(3(5(4(4(1(0(1(5(0(x1)))))))))) 5(5(5(x1))) -> 5(3(4(1(0(1(4(5(0(0(x1)))))))))) 2(5(0(4(x1)))) -> 4(4(3(2(4(4(5(1(0(0(x1)))))))))) 4(5(2(4(x1)))) -> 4(1(5(5(2(0(3(1(3(3(x1)))))))))) 4(5(5(5(x1)))) -> 1(5(1(2(0(3(2(1(0(5(x1)))))))))) 0(2(5(3(4(x1))))) -> 3(2(4(3(1(5(1(1(3(4(x1)))))))))) 2(5(5(3(4(x1))))) -> 4(5(4(3(1(4(0(2(4(4(x1)))))))))) 5(5(5(1(4(x1))))) -> 3(3(0(5(0(4(3(4(4(0(x1)))))))))) 0(4(4(5(5(5(x1)))))) -> 0(4(4(4(3(3(4(1(3(1(x1)))))))))) 1(2(4(5(2(4(x1)))))) -> 3(3(5(3(0(4(0(3(1(3(x1)))))))))) 4(1(5(5(0(4(x1)))))) -> 1(0(3(0(4(2(4(4(3(4(x1)))))))))) 4(2(5(5(1(5(x1)))))) -> 2(3(4(2(1(1(3(4(2(5(x1)))))))))) 5(2(5(5(0(4(x1)))))) -> 0(4(2(3(3(5(2(1(4(4(x1)))))))))) 5(5(2(4(5(0(x1)))))) -> 2(1(1(4(2(4(0(4(2(0(x1)))))))))) 0(1(5(5(5(3(5(x1))))))) -> 5(3(2(5(1(0(1(2(0(5(x1)))))))))) 4(4(5(2(4(2(2(x1))))))) -> 4(0(5(5(4(5(1(2(2(1(x1)))))))))) Proof: String Reversal Processor: 5(5(x1)) -> 1(2(5(4(5(2(0(4(5(0(x1)))))))))) 5(5(x1)) -> 4(0(4(4(1(1(1(1(4(3(x1)))))))))) 5(5(2(x1))) -> 2(1(1(0(0(4(4(5(2(4(x1)))))))))) 4(2(5(x1))) -> 2(4(2(4(3(3(2(0(5(0(x1)))))))))) 2(5(5(x1))) -> 3(5(2(3(0(3(2(3(1(0(x1)))))))))) 3(5(5(x1))) -> 0(5(1(0(1(4(4(5(3(0(x1)))))))))) 5(5(5(x1))) -> 0(0(5(4(1(0(1(4(3(5(x1)))))))))) 4(0(5(2(x1)))) -> 0(0(1(5(4(4(2(3(4(4(x1)))))))))) 4(2(5(4(x1)))) -> 3(3(1(3(0(2(5(5(1(4(x1)))))))))) 5(5(5(4(x1)))) -> 5(0(1(2(3(0(2(1(5(1(x1)))))))))) 4(3(5(2(0(x1))))) -> 4(3(1(1(5(1(3(4(2(3(x1)))))))))) 4(3(5(5(2(x1))))) -> 4(4(2(0(4(1(3(4(5(4(x1)))))))))) 4(1(5(5(5(x1))))) -> 0(4(4(3(4(0(5(0(3(3(x1)))))))))) 5(5(5(4(4(0(x1)))))) -> 1(3(1(4(3(3(4(4(4(0(x1)))))))))) 4(2(5(4(2(1(x1)))))) -> 3(1(3(0(4(0(3(5(3(3(x1)))))))))) 4(0(5(5(1(4(x1)))))) -> 4(3(4(4(2(4(0(3(0(1(x1)))))))))) 5(1(5(5(2(4(x1)))))) -> 5(2(4(3(1(1(2(4(3(2(x1)))))))))) 4(0(5(5(2(5(x1)))))) -> 4(4(1(2(5(3(3(2(4(0(x1)))))))))) 0(5(4(2(5(5(x1)))))) -> 0(2(4(0(4(2(4(1(1(2(x1)))))))))) 5(3(5(5(5(1(0(x1))))))) -> 5(0(2(1(0(1(5(2(3(5(x1)))))))))) 2(2(4(2(5(4(4(x1))))))) -> 1(2(2(1(5(4(5(5(0(4(x1)))))))))) Bounds Processor: bound: 1 enrichment: match automaton: final states: {184,176,167,159,149,140,132,123,114,105,96,86,77,68,58,49,40,32,22,12,1} transitions: 31(282) -> 283* 31(237) -> 238* 31(289) -> 290* 31(284) -> 285* 31(286) -> 287* 31(270) -> 271* 51(227) -> 228* 51(194) -> 195* 51(231) -> 232* 51(288) -> 289* 51(233) -> 234* 51(198) -> 199* 51(200) -> 201* 21(197) -> 198* 21(234) -> 235* 21(201) -> 202* 21(283) -> 284* 21(230) -> 231* 21(287) -> 288* 01(229) -> 230* 01(226) -> 227* 01(196) -> 197* 01(278) -> 279* 01(193) -> 194* 01(285) -> 286* 01(245) -> 246* 11(272) -> 273* 11(242) -> 243* 11(202) -> 203* 11(274) -> 275* 11(239) -> 240* 11(281) -> 282* 11(241) -> 242* 11(273) -> 274* 11(275) -> 276* 11(240) -> 241* 11(235) -> 236* 41(277) -> 278* 41(232) -> 233* 41(279) -> 280* 41(244) -> 245* 41(199) -> 200* 41(276) -> 277* 41(271) -> 272* 41(246) -> 247* 41(243) -> 244* 41(238) -> 239* 41(228) -> 229* 41(195) -> 196* f60() -> 2* 10(55) -> 56* 10(30) -> 31* 10(15) -> 16* 10(192) -> 184* 10(102) -> 103* 10(17) -> 18* 10(2) -> 87* 10(189) -> 190* 10(164) -> 165* 10(154) -> 155* 10(129) -> 130* 10(99) -> 100* 10(74) -> 75* 10(29) -> 30* 10(14) -> 15* 10(131) -> 123* 10(101) -> 102* 10(61) -> 62* 10(16) -> 17* 10(11) -> 1* 10(178) -> 179* 10(168) -> 169* 10(153) -> 154* 10(138) -> 139* 10(108) -> 109* 10(93) -> 94* 10(88) -> 89* 10(83) -> 84* 10(63) -> 64* 10(53) -> 54* 10(23) -> 78* 10(3) -> 41* 10(180) -> 181* 10(150) -> 168* 20(70) -> 71* 20(60) -> 177* 20(10) -> 11* 20(157) -> 158* 20(152) -> 153* 20(92) -> 93* 20(42) -> 43* 20(37) -> 38* 20(2) -> 150* 20(174) -> 175* 20(144) -> 145* 20(124) -> 160* 20(89) -> 90* 20(39) -> 32* 20(191) -> 192* 20(181) -> 182* 20(111) -> 112* 20(46) -> 47* 20(31) -> 22* 20(6) -> 7* 20(163) -> 164* 20(33) -> 34* 20(23) -> 24* 20(13) -> 97* 20(190) -> 191* 20(170) -> 171* 20(80) -> 81* 50(65) -> 66* 50(50) -> 51* 50(177) -> 178* 50(162) -> 163* 50(87) -> 88* 50(47) -> 48* 50(7) -> 8* 50(2) -> 59* 50(79) -> 80* 50(24) -> 25* 50(9) -> 10* 50(186) -> 187* 50(116) -> 117* 50(56) -> 57* 50(188) -> 189* 50(183) -> 176* 50(158) -> 149* 50(78) -> 79* 50(73) -> 74* 50(23) -> 106* 50(3) -> 4* 50(185) -> 186* 50(115) -> 133* 50(100) -> 101* 50(95) -> 86* 40(60) -> 61* 40(25) -> 26* 40(187) -> 188* 40(112) -> 113* 40(97) -> 98* 40(72) -> 73* 40(52) -> 53* 40(2) -> 23* 40(169) -> 170* 40(124) -> 125* 40(109) -> 110* 40(104) -> 96* 40(64) -> 65* 40(19) -> 20* 40(4) -> 5* 40(171) -> 172* 40(166) -> 159* 40(156) -> 157* 40(151) -> 152* 40(146) -> 147* 40(121) -> 122* 40(106) -> 107* 40(71) -> 72* 40(51) -> 52* 40(36) -> 37* 40(26) -> 27* 40(21) -> 12* 40(173) -> 174* 40(148) -> 140* 40(143) -> 144* 40(128) -> 129* 40(118) -> 119* 40(113) -> 105* 40(38) -> 39* 40(23) -> 69* 40(18) -> 19* 40(13) -> 14* 40(8) -> 9* 40(3) -> 124* 40(165) -> 166* 40(145) -> 146* 40(135) -> 136* 40(125) -> 126* 40(120) -> 121* 00(75) -> 76* 00(20) -> 21* 00(5) -> 6* 00(182) -> 183* 00(172) -> 173* 00(142) -> 143* 00(122) -> 114* 00(117) -> 118* 00(87) -> 141* 00(67) -> 58* 00(62) -> 63* 00(57) -> 49* 00(27) -> 28* 00(2) -> 3* 00(179) -> 180* 00(134) -> 135* 00(94) -> 95* 00(54) -> 55* 00(44) -> 45* 00(4) -> 33* 00(136) -> 137* 00(81) -> 82* 00(76) -> 68* 00(66) -> 67* 00(28) -> 29* 00(23) -> 185* 00(175) -> 167* 00(115) -> 116* 00(110) -> 111* 00(90) -> 91* 30(45) -> 46* 30(35) -> 36* 30(147) -> 148* 30(137) -> 138* 30(127) -> 128* 30(107) -> 108* 30(82) -> 83* 30(2) -> 13* 30(139) -> 132* 30(119) -> 120* 30(84) -> 85* 30(69) -> 70* 30(59) -> 60* 30(34) -> 35* 30(161) -> 162* 30(141) -> 142* 30(126) -> 127* 30(91) -> 92* 30(41) -> 42* 30(133) -> 134* 30(103) -> 104* 30(98) -> 99* 30(48) -> 40* 30(43) -> 44* 30(13) -> 115* 30(3) -> 50* 30(160) -> 161* 30(155) -> 156* 30(150) -> 151* 30(130) -> 131* 30(85) -> 77* 1 -> 59* 12 -> 59* 22 -> 59* 32 -> 23* 40 -> 150* 49 -> 13,60 58 -> 59* 68 -> 23,124 77 -> 23* 78 -> 270,226 86 -> 59* 96 -> 23,14,61 105 -> 23,14,61 114 -> 23* 123 -> 59* 132 -> 23* 140 -> 23,124 149 -> 59,88 159 -> 23,124 167 -> 3* 176 -> 59* 184 -> 150* 185 -> 237,193 203 -> 187* 227 -> 281* 236 -> 80* 247 -> 187* 280 -> 80* 290 -> 81* problem: Qed