YES Problem: 1(1(0(x1))) -> 4(0(1(1(4(0(0(3(3(4(x1)))))))))) 0(5(1(0(x1)))) -> 0(5(2(2(4(3(0(2(2(2(x1)))))))))) 1(0(1(0(x1)))) -> 1(0(3(2(0(4(4(2(4(2(x1)))))))))) 1(0(3(1(x1)))) -> 1(2(3(3(2(4(4(3(0(1(x1)))))))))) 2(1(0(5(x1)))) -> 2(3(4(4(2(0(2(3(0(5(x1)))))))))) 0(1(0(2(1(x1))))) -> 2(2(0(0(0(4(0(1(2(1(x1)))))))))) 1(0(5(0(1(x1))))) -> 5(0(2(2(3(4(0(2(0(1(x1)))))))))) 3(1(0(5(2(x1))))) -> 2(1(4(0(2(5(5(2(2(3(x1)))))))))) 4(4(5(3(0(x1))))) -> 4(3(1(1(3(2(0(3(3(0(x1)))))))))) 0(3(5(5(2(0(x1)))))) -> 2(2(0(1(2(0(0(2(3(4(x1)))))))))) 1(0(0(3(5(4(x1)))))) -> 1(0(3(3(4(1(3(3(4(4(x1)))))))))) 1(5(3(0(3(1(x1)))))) -> 1(2(2(1(3(0(4(4(3(1(x1)))))))))) 1(5(4(1(2(5(x1)))))) -> 1(4(4(0(2(4(2(0(3(5(x1)))))))))) 3(0(4(5(1(0(x1)))))) -> 4(1(4(2(3(4(4(2(4(0(x1)))))))))) 3(0(5(3(2(5(x1)))))) -> 4(3(1(1(3(3(2(0(0(5(x1)))))))))) 3(0(5(3(4(1(x1)))))) -> 4(2(4(3(0(3(1(1(4(1(x1)))))))))) 4(1(2(1(1(0(x1)))))) -> 4(5(3(3(0(1(1(4(0(2(x1)))))))))) 4(4(4(5(0(5(x1)))))) -> 3(4(3(3(2(4(2(4(1(4(x1)))))))))) 5(2(0(4(5(1(x1)))))) -> 5(2(2(2(3(1(0(4(0(3(x1)))))))))) 0(5(4(5(3(0(5(x1))))))) -> 0(4(2(4(4(4(3(0(0(5(x1)))))))))) 1(0(5(5(3(2(5(x1))))))) -> 3(5(5(3(3(0(2(0(4(5(x1)))))))))) 3(0(5(3(5(3(0(x1))))))) -> 1(1(2(4(1(2(0(1(4(0(x1)))))))))) 3(1(0(1(5(5(1(x1))))))) -> 2(4(1(1(3(3(3(3(1(1(x1)))))))))) 3(2(5(3(0(1(0(x1))))))) -> 2(4(1(2(3(4(3(1(1(2(x1)))))))))) 3(3(5(3(4(5(3(x1))))))) -> 0(2(2(4(2(2(1(1(1(2(x1)))))))))) 3(4(2(5(0(2(1(x1))))))) -> 3(0(4(3(2(4(4(0(0(1(x1)))))))))) 3(4(3(2(1(4(4(x1))))))) -> 3(4(3(4(3(0(3(3(0(2(x1)))))))))) 3(5(2(3(5(3(4(x1))))))) -> 3(5(1(0(3(0(0(2(4(2(x1)))))))))) 4(4(5(3(2(1(0(x1))))))) -> 4(0(5(4(1(2(2(2(3(0(x1)))))))))) 4(5(1(0(0(5(1(x1))))))) -> 5(5(2(2(2(5(5(5(1(4(x1)))))))))) 4(5(1(3(1(2(3(x1))))))) -> 5(4(1(1(1(2(3(4(0(2(x1)))))))))) 5(1(4(5(2(5(3(x1))))))) -> 5(5(1(4(2(3(0(0(3(4(x1)))))))))) 5(1(5(4(2(5(1(x1))))))) -> 5(5(2(3(0(3(4(2(1(0(x1)))))))))) 5(4(5(0(5(2(3(x1))))))) -> 5(1(1(4(2(3(0(1(3(0(x1)))))))))) Proof: String Reversal Processor: 0(1(1(x1))) -> 4(3(3(0(0(4(1(1(0(4(x1)))))))))) 0(1(5(0(x1)))) -> 2(2(2(0(3(4(2(2(5(0(x1)))))))))) 0(1(0(1(x1)))) -> 2(4(2(4(4(0(2(3(0(1(x1)))))))))) 1(3(0(1(x1)))) -> 1(0(3(4(4(2(3(3(2(1(x1)))))))))) 5(0(1(2(x1)))) -> 5(0(3(2(0(2(4(4(3(2(x1)))))))))) 1(2(0(1(0(x1))))) -> 1(2(1(0(4(0(0(0(2(2(x1)))))))))) 1(0(5(0(1(x1))))) -> 1(0(2(0(4(3(2(2(0(5(x1)))))))))) 2(5(0(1(3(x1))))) -> 3(2(2(5(5(2(0(4(1(2(x1)))))))))) 0(3(5(4(4(x1))))) -> 0(3(3(0(2(3(1(1(3(4(x1)))))))))) 0(2(5(5(3(0(x1)))))) -> 4(3(2(0(0(2(1(0(2(2(x1)))))))))) 4(5(3(0(0(1(x1)))))) -> 4(4(3(3(1(4(3(3(0(1(x1)))))))))) 1(3(0(3(5(1(x1)))))) -> 1(3(4(4(0(3(1(2(2(1(x1)))))))))) 5(2(1(4(5(1(x1)))))) -> 5(3(0(2(4(2(0(4(4(1(x1)))))))))) 0(1(5(4(0(3(x1)))))) -> 0(4(2(4(4(3(2(4(1(4(x1)))))))))) 5(2(3(5(0(3(x1)))))) -> 5(0(0(2(3(3(1(1(3(4(x1)))))))))) 1(4(3(5(0(3(x1)))))) -> 1(4(1(1(3(0(3(4(2(4(x1)))))))))) 0(1(1(2(1(4(x1)))))) -> 2(0(4(1(1(0(3(3(5(4(x1)))))))))) 5(0(5(4(4(4(x1)))))) -> 4(1(4(2(4(2(3(3(4(3(x1)))))))))) 1(5(4(0(2(5(x1)))))) -> 3(0(4(0(1(3(2(2(2(5(x1)))))))))) 5(0(3(5(4(5(0(x1))))))) -> 5(0(0(3(4(4(4(2(4(0(x1)))))))))) 5(2(3(5(5(0(1(x1))))))) -> 5(4(0(2(0(3(3(5(5(3(x1)))))))))) 0(3(5(3(5(0(3(x1))))))) -> 0(4(1(0(2(1(4(2(1(1(x1)))))))))) 1(5(5(1(0(1(3(x1))))))) -> 1(1(3(3(3(3(1(1(4(2(x1)))))))))) 0(1(0(3(5(2(3(x1))))))) -> 2(1(1(3(4(3(2(1(4(2(x1)))))))))) 3(5(4(3(5(3(3(x1))))))) -> 2(1(1(1(2(2(4(2(2(0(x1)))))))))) 1(2(0(5(2(4(3(x1))))))) -> 1(0(0(4(4(2(3(4(0(3(x1)))))))))) 4(4(1(2(3(4(3(x1))))))) -> 2(0(3(3(0(3(4(3(4(3(x1)))))))))) 4(3(5(3(2(5(3(x1))))))) -> 2(4(2(0(0(3(0(1(5(3(x1)))))))))) 0(1(2(3(5(4(4(x1))))))) -> 0(3(2(2(2(1(4(5(0(4(x1)))))))))) 1(5(0(0(1(5(4(x1))))))) -> 4(1(5(5(5(2(2(2(5(5(x1)))))))))) 3(2(1(3(1(5(4(x1))))))) -> 2(0(4(3(2(1(1(1(4(5(x1)))))))))) 3(5(2(5(4(1(5(x1))))))) -> 4(3(0(0(3(2(4(1(5(5(x1)))))))))) 1(5(2(4(5(1(5(x1))))))) -> 0(1(2(4(3(0(3(2(5(5(x1)))))))))) 3(2(5(0(5(4(5(x1))))))) -> 0(3(1(0(3(2(4(1(1(5(x1)))))))))) Bounds Processor: bound: 1 enrichment: match automaton: final states: {287,280,272,263,254,246,238,231,222,213,206,197,188, 179,170,161,151,142,133,128,119,110,102,95,88,79,70, 60,51,41,32,22,12,1} transitions: 41(311) -> 312* 41(316) -> 317* 41(322) -> 323* 41(307) -> 308* 01(318) -> 319* 01(313) -> 314* 01(308) -> 309* 01(324) -> 325* 01(312) -> 313* 40(160) -> 151* 40(273) -> 274* 40(158) -> 159* 40(148) -> 149* 40(279) -> 272* 40(13) -> 171* 40(283) -> 284* 40(106) -> 107* 40(190) -> 191* 40(16) -> 17* 40(44) -> 45* 40(186) -> 187* 40(226) -> 227* 40(154) -> 232* 40(174) -> 175* 40(289) -> 290* 40(126) -> 127* 40(120) -> 121* 40(42) -> 198* 40(172) -> 173* 40(195) -> 196* 40(101) -> 95* 40(27) -> 28* 40(208) -> 209* 40(269) -> 270* 40(173) -> 174* 40(111) -> 112* 40(262) -> 254* 40(23) -> 111* 40(94) -> 88* 40(140) -> 141* 40(100) -> 101* 40(6) -> 7* 40(11) -> 1* 40(223) -> 224* 40(96) -> 97* 40(244) -> 245* 40(37) -> 38* 40(61) -> 264* 40(124) -> 125* 40(43) -> 44* 40(107) -> 108* 40(71) -> 72* 40(247) -> 248* 40(55) -> 56* 40(152) -> 153* 40(215) -> 216* 40(36) -> 37* 40(30) -> 31* 40(134) -> 135* 40(65) -> 66* 40(227) -> 228* 40(156) -> 157* 40(123) -> 124* 40(28) -> 29* 40(114) -> 115* 40(167) -> 168* 40(2) -> 3* f60() -> 2* 50(187) -> 179* 50(178) -> 170* 50(13) -> 14* 50(259) -> 260* 50(75) -> 76* 50(3) -> 143* 50(2) -> 61* 50(4) -> 247* 50(74) -> 75* 50(50) -> 41* 50(260) -> 261* 50(61) -> 255* 50(258) -> 259* 50(118) -> 110* 50(152) -> 180* 50(180) -> 181* 50(132) -> 128* 20(225) -> 226* 20(243) -> 244* 20(221) -> 213* 20(73) -> 74* 20(113) -> 114* 20(2) -> 42* 20(245) -> 238* 20(115) -> 116* 20(23) -> 33* 20(199) -> 207* 20(212) -> 206* 20(214) -> 215* 20(33) -> 103* 20(76) -> 77* 20(77) -> 78* 20(45) -> 46* 20(250) -> 251* 20(121) -> 122* 20(163) -> 164* 20(150) -> 142* 20(216) -> 217* 20(274) -> 275* 20(62) -> 63* 20(31) -> 22* 20(217) -> 218* 20(3) -> 134* 20(256) -> 257* 20(189) -> 190* 20(35) -> 36* 20(14) -> 15* 20(267) -> 268* 20(271) -> 263* 20(290) -> 291* 20(251) -> 252* 20(249) -> 250* 20(83) -> 84* 20(155) -> 156* 20(15) -> 16* 20(89) -> 90* 20(67) -> 68* 20(20) -> 21* 20(92) -> 93* 20(162) -> 163* 20(284) -> 285* 20(13) -> 214* 20(184) -> 185* 20(157) -> 158* 20(129) -> 130* 20(257) -> 258* 20(63) -> 64* 20(237) -> 231* 20(61) -> 162* 20(255) -> 256* 20(192) -> 193* 20(58) -> 59* 20(47) -> 48* 20(171) -> 172* 20(21) -> 12* 20(42) -> 52* 20(25) -> 26* 20(29) -> 30* 20(125) -> 126* 20(19) -> 20* 30(240) -> 241* 30(24) -> 25* 30(153) -> 154* 30(256) -> 281* 30(2) -> 152* 30(291) -> 292* 30(93) -> 94* 30(10) -> 11* 30(122) -> 123* 30(17) -> 18* 30(48) -> 49* 30(181) -> 182* 30(117) -> 118* 30(135) -> 136* 30(275) -> 276* 30(83) -> 129* 30(224) -> 225* 30(232) -> 233* 30(25) -> 96* 30(235) -> 236* 30(9) -> 10* 30(154) -> 155* 30(104) -> 105* 30(234) -> 235* 30(64) -> 65* 30(164) -> 165* 30(175) -> 176* 30(3) -> 80* 30(82) -> 83* 30(282) -> 283* 30(268) -> 269* 30(209) -> 210* 30(202) -> 203* 30(294) -> 295* 30(201) -> 202* 30(203) -> 204* 30(38) -> 39* 30(99) -> 100* 30(143) -> 144* 30(34) -> 35* 30(207) -> 208* 30(278) -> 279* 30(169) -> 161* 30(85) -> 86* 30(108) -> 109* 30(86) -> 87* 30(144) -> 145* 30(252) -> 253* 30(78) -> 70* 30(42) -> 43* 30(200) -> 201* 30(137) -> 138* 30(33) -> 34* 30(182) -> 183* 30(98) -> 99* 10(5) -> 6* 10(40) -> 32* 10(288) -> 289* 10(194) -> 195* 10(81) -> 82* 10(248) -> 249* 10(264) -> 265* 10(3) -> 120* 10(146) -> 147* 10(53) -> 89* 10(180) -> 239* 10(204) -> 205* 10(69) -> 60* 10(285) -> 286* 10(138) -> 139* 10(219) -> 220* 10(57) -> 58* 10(97) -> 98* 10(265) -> 266* 10(139) -> 140* 10(23) -> 189* 10(210) -> 211* 10(141) -> 133* 10(199) -> 200* 10(230) -> 222* 10(191) -> 192* 10(61) -> 288* 10(198) -> 199* 10(220) -> 221* 10(165) -> 166* 10(218) -> 219* 10(80) -> 81* 10(59) -> 51* 10(4) -> 5* 10(266) -> 267* 10(42) -> 71* 10(103) -> 104* 10(293) -> 294* 10(147) -> 148* 10(211) -> 212* 10(205) -> 197* 10(261) -> 262* 10(159) -> 160* 10(255) -> 273* 10(2) -> 23* 10(109) -> 102* 00(54) -> 55* 00(152) -> 223* 00(168) -> 169* 00(241) -> 242* 00(277) -> 278* 00(176) -> 177* 00(242) -> 243* 00(185) -> 186* 00(23) -> 24* 00(2) -> 13* 00(116) -> 117* 00(90) -> 91* 00(295) -> 287* 00(281) -> 282* 00(196) -> 188* 00(233) -> 234* 00(149) -> 150* 00(39) -> 40* 00(72) -> 73* 00(177) -> 178* 00(236) -> 237* 00(136) -> 137* 00(84) -> 85* 00(145) -> 146* 00(131) -> 132* 00(68) -> 69* 00(18) -> 19* 00(56) -> 57* 00(228) -> 229* 00(52) -> 53* 00(286) -> 280* 00(87) -> 79* 00(8) -> 9* 00(276) -> 277* 00(26) -> 27* 00(61) -> 62* 00(91) -> 92* 00(66) -> 67* 00(253) -> 246* 00(7) -> 8* 00(3) -> 4* 00(193) -> 194* 00(105) -> 106* 00(112) -> 113* 00(49) -> 50* 00(270) -> 271* 00(127) -> 119* 00(229) -> 230* 00(292) -> 293* 00(183) -> 184* 00(166) -> 167* 00(46) -> 47* 00(53) -> 54* 00(130) -> 131* 00(239) -> 240* 11(310) -> 311* 11(309) -> 310* 21(327) -> 328* 21(320) -> 321* 21(325) -> 326* 21(321) -> 322* 21(326) -> 327* 51(319) -> 320* 31(314) -> 315* 31(315) -> 316* 31(323) -> 324* 238 -> 3,153 151 -> 61,14 70 -> 42,162,15 317 -> 24* 328 -> 240* 142 -> 13,24 254 -> 23,288 206 -> 13,24 231 -> 3,112 295 -> 318* 12 -> 13,24 188 -> 13,223 204 -> 307* 22 -> 13,24 88 -> 13* 161 -> 23,288 170 -> 61,14 79 -> 13,223 179 -> 61* 197 -> 23,288,273 60 -> 23* 222 -> 23,71 287 -> 152,43 1 -> 13,24 246 -> 13,24 110 -> 61* 95 -> 3,264 213 -> 152,144 41 -> 61,14 133 -> 23,120 119 -> 13,24 51 -> 23,71 263 -> 152,43,34 128 -> 61* 32 -> 23* 102 -> 23* 280 -> 23,288 272 -> 152* problem: Qed