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