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