YES Problem: 0(0(0(1(x1)))) -> 2(2(1(x1))) 0(1(1(3(x1)))) -> 4(2(3(x1))) 2(3(0(2(1(x1))))) -> 2(2(1(2(1(x1))))) 3(0(0(1(4(x1))))) -> 2(4(0(4(x1)))) 4(4(5(0(1(x1))))) -> 3(0(0(2(x1)))) 5(0(5(1(1(x1))))) -> 3(2(2(2(x1)))) 1(0(5(4(1(0(x1)))))) -> 0(5(3(0(0(x1))))) 1(1(5(2(3(2(x1)))))) -> 1(3(3(3(0(x1))))) 4(0(5(0(1(0(x1)))))) -> 4(0(0(0(3(x1))))) 2(2(5(5(1(5(2(x1))))))) -> 4(0(1(1(3(4(3(x1))))))) 4(3(3(0(0(1(5(4(x1)))))))) -> 4(3(2(1(1(5(3(4(x1)))))))) 0(1(4(3(4(1(4(0(0(1(x1)))))))))) -> 0(3(1(2(2(5(0(4(1(x1))))))))) 3(2(2(5(2(0(1(5(4(0(4(1(x1)))))))))))) -> 3(4(1(4(3(1(1(0(4(1(3(1(x1)))))))))))) 4(1(5(2(2(2(3(5(3(0(1(4(x1)))))))))))) -> 4(5(3(5(5(5(0(0(3(1(4(x1))))))))))) 0(2(1(3(3(4(0(1(5(2(2(2(3(x1))))))))))))) -> 0(3(4(2(4(2(0(5(4(2(2(3(x1)))))))))))) 2(0(5(4(3(2(2(3(3(2(5(1(2(x1))))))))))))) -> 2(5(2(3(0(4(3(3(3(5(0(0(x1)))))))))))) 1(5(3(1(1(3(1(5(1(5(4(3(1(3(4(x1))))))))))))))) -> 2(3(5(2(2(1(4(1(2(5(4(3(4(x1))))))))))))) 5(0(5(0(3(3(0(2(5(0(2(1(4(4(0(x1))))))))))))))) -> 3(5(4(0(3(1(4(2(4(3(0(2(1(4(0(x1))))))))))))))) 5(1(5(4(3(0(4(0(2(0(2(4(3(1(5(x1))))))))))))))) -> 0(1(2(0(0(1(1(0(2(0(0(5(4(3(4(3(x1)))))))))))))))) 2(0(0(1(5(4(3(5(3(5(0(1(3(5(1(4(5(x1))))))))))))))))) -> 4(0(4(3(4(1(3(3(5(3(3(1(4(1(4(5(x1)))))))))))))))) 4(1(3(4(0(2(3(3(4(0(1(3(2(1(3(5(5(x1))))))))))))))))) -> 4(0(0(4(1(5(0(2(3(0(5(2(1(5(5(5(x1)))))))))))))))) 0(5(3(3(3(5(3(1(4(5(5(3(5(2(5(1(0(0(x1)))))))))))))))))) -> 3(5(1(0(1(5(5(0(4(2(5(2(5(5(3(5(0(x1))))))))))))))))) 5(4(2(0(5(1(3(2(0(2(1(4(2(2(1(3(1(0(x1)))))))))))))))))) -> 0(5(0(5(5(2(2(5(1(5(1(0(5(5(3(0(1(x1))))))))))))))))) 1(1(1(2(0(2(4(2(2(0(3(0(4(5(2(2(1(0(1(x1))))))))))))))))))) -> 3(5(3(0(4(5(0(3(5(3(2(4(1(1(3(1(1(5(4(x1))))))))))))))))))) 5(5(0(1(3(2(5(3(4(1(4(1(1(2(5(4(1(5(5(x1))))))))))))))))))) -> 5(3(3(3(2(0(5(4(1(2(2(4(2(0(4(3(5(x1))))))))))))))))) 0(4(3(2(2(5(1(5(0(0(0(1(1(1(2(4(2(1(0(5(x1)))))))))))))))))))) -> 0(4(0(2(2(5(0(0(1(5(3(4(5(2(5(0(5(3(3(x1))))))))))))))))))) 4(2(1(2(2(3(3(3(5(1(2(4(4(1(5(1(3(2(1(0(x1)))))))))))))))))))) -> 4(0(1(3(0(4(4(1(2(3(0(4(0(4(1(4(5(4(2(x1))))))))))))))))))) 5(4(4(1(2(1(5(1(5(2(1(2(5(5(2(1(5(1(1(5(x1)))))))))))))))))))) -> 4(2(0(3(2(5(1(1(5(5(1(2(4(4(0(1(3(4(5(x1))))))))))))))))))) 2(5(1(1(5(1(2(4(5(0(1(2(3(3(1(5(5(3(2(3(4(x1))))))))))))))))))))) -> 3(3(1(4(3(2(2(2(0(0(3(3(1(1(5(1(2(4(0(2(x1)))))))))))))))))))) 3(1(0(1(4(5(0(2(5(4(5(0(4(1(5(1(1(2(2(1(5(x1))))))))))))))))))))) -> 4(1(2(3(3(4(1(5(0(1(5(4(1(2(3(4(0(0(0(5(x1)))))))))))))))))))) Proof: String Reversal Processor: 1(0(0(0(x1)))) -> 1(2(2(x1))) 3(1(1(0(x1)))) -> 3(2(4(x1))) 1(2(0(3(2(x1))))) -> 1(2(1(2(2(x1))))) 4(1(0(0(3(x1))))) -> 4(0(4(2(x1)))) 1(0(5(4(4(x1))))) -> 2(0(0(3(x1)))) 1(1(5(0(5(x1))))) -> 2(2(2(3(x1)))) 0(1(4(5(0(1(x1)))))) -> 0(0(3(5(0(x1))))) 2(3(2(5(1(1(x1)))))) -> 0(3(3(3(1(x1))))) 0(1(0(5(0(4(x1)))))) -> 3(0(0(0(4(x1))))) 2(5(1(5(5(2(2(x1))))))) -> 3(4(3(1(1(0(4(x1))))))) 4(5(1(0(0(3(3(4(x1)))))))) -> 4(3(5(1(1(2(3(4(x1)))))))) 1(0(0(4(1(4(3(4(1(0(x1)))))))))) -> 1(4(0(5(2(2(1(3(0(x1))))))))) 1(4(0(4(5(1(0(2(5(2(2(3(x1)))))))))))) -> 1(3(1(4(0(1(1(3(4(1(4(3(x1)))))))))))) 4(1(0(3(5(3(2(2(2(5(1(4(x1)))))))))))) -> 4(1(3(0(0(5(5(5(3(5(4(x1))))))))))) 3(2(2(2(5(1(0(4(3(3(1(2(0(x1))))))))))))) -> 3(2(2(4(5(0(2(4(2(4(3(0(x1)))))))))))) 2(1(5(2(3(3(2(2(3(4(5(0(2(x1))))))))))))) -> 0(0(5(3(3(3(4(0(3(2(5(2(x1)))))))))))) 4(3(1(3(4(5(1(5(1(3(1(1(3(5(1(x1))))))))))))))) -> 4(3(4(5(2(1(4(1(2(2(5(3(2(x1))))))))))))) 0(4(4(1(2(0(5(2(0(3(3(0(5(0(5(x1))))))))))))))) -> 0(4(1(2(0(3(4(2(4(1(3(0(4(5(3(x1))))))))))))))) 5(1(3(4(2(0(2(0(4(0(3(4(5(1(5(x1))))))))))))))) -> 3(4(3(4(5(0(0(2(0(1(1(0(0(2(1(0(x1)))))))))))))))) 5(4(1(5(3(1(0(5(3(5(3(4(5(1(0(0(2(x1))))))))))))))))) -> 5(4(1(4(1(3(3(5(3(3(1(4(3(4(0(4(x1)))))))))))))))) 5(5(3(1(2(3(1(0(4(3(3(2(0(4(3(1(4(x1))))))))))))))))) -> 5(5(5(1(2(5(0(3(2(0(5(1(4(0(0(4(x1)))))))))))))))) 0(0(1(5(2(5(3(5(5(4(1(3(5(3(3(3(5(0(x1)))))))))))))))))) -> 0(5(3(5(5(2(5(2(4(0(5(5(1(0(1(5(3(x1))))))))))))))))) 0(1(3(1(2(2(4(1(2(0(2(3(1(5(0(2(4(5(x1)))))))))))))))))) -> 1(0(3(5(5(0(1(5(1(5(2(2(5(5(0(5(0(x1))))))))))))))))) 1(0(1(2(2(5(4(0(3(0(2(2(4(2(0(2(1(1(1(x1))))))))))))))))))) -> 4(5(1(1(3(1(1(4(2(3(5(3(0(5(4(0(3(5(3(x1))))))))))))))))))) 5(5(1(4(5(2(1(1(4(1(4(3(5(2(3(1(0(5(5(x1))))))))))))))))))) -> 5(3(4(0(2(4(2(2(1(4(5(0(2(3(3(3(5(x1))))))))))))))))) 5(0(1(2(4(2(1(1(1(0(0(0(5(1(5(2(2(3(4(0(x1)))))))))))))))))))) -> 3(3(5(0(5(2(5(4(3(5(1(0(0(5(2(2(0(4(0(x1))))))))))))))))))) 0(1(2(3(1(5(1(4(4(2(1(5(3(3(3(2(2(1(2(4(x1)))))))))))))))))))) -> 2(4(5(4(1(4(0(4(0(3(2(1(4(4(0(3(1(0(4(x1))))))))))))))))))) 5(1(1(5(1(2(5(5(2(1(2(5(1(5(1(2(1(4(4(5(x1)))))))))))))))))))) -> 5(4(3(1(0(4(4(2(1(5(5(1(1(5(2(3(0(2(4(x1))))))))))))))))))) 4(3(2(3(5(5(1(3(3(2(1(0(5(4(2(1(5(1(1(5(2(x1))))))))))))))))))))) -> 2(0(4(2(1(5(1(1(3(3(0(0(2(2(2(3(4(1(3(3(x1)))))))))))))))))))) 5(1(2(2(1(1(5(1(4(0(5(4(5(2(0(5(4(1(0(1(3(x1))))))))))))))))))))) -> 5(0(0(0(4(3(2(1(4(5(1(0(5(1(4(3(3(2(1(4(x1)))))))))))))))))))) Bounds Processor: bound: 1 enrichment: match automaton: final states: {298,279,262,246,228,211,194,179,164,151,137,122,108, 96,85,75,65,54,46,39,34,30,25,20,17,13,10,8,5,1} transitions: 31(319) -> 320* 41(327) -> 328* 41(317) -> 318* 10(102) -> 103* 10(47) -> 48* 10(119) -> 120* 10(207) -> 208* 10(160) -> 161* 10(193) -> 179* 10(148) -> 149* 10(185) -> 186* 10(58) -> 59* 10(31) -> 35* 10(109) -> 165* 10(59) -> 60* 10(219) -> 220* 10(187) -> 188* 10(266) -> 267* 10(41) -> 42* 10(270) -> 271* 10(73) -> 74* 10(126) -> 127* 10(42) -> 43* 10(293) -> 294* 10(127) -> 128* 10(205) -> 206* 10(267) -> 268* 10(35) -> 36* 10(290) -> 291* 10(280) -> 281* 10(112) -> 113* 10(208) -> 209* 10(62) -> 63* 10(140) -> 141* 10(53) -> 46* 10(100) -> 101* 10(6) -> 299* 10(21) -> 123* 10(4) -> 1* 10(291) -> 292* 10(55) -> 56* 10(235) -> 236* 10(152) -> 153* 10(303) -> 304* 10(309) -> 310* 10(166) -> 167* 10(64) -> 54* 10(146) -> 147* 10(204) -> 205* 10(257) -> 258* 10(306) -> 307* 10(9) -> 8* 10(275) -> 276* 10(250) -> 251* 10(2) -> 26* f60() -> 2* 50(209) -> 210* 50(104) -> 105* 50(150) -> 137* 50(153) -> 154* 50(67) -> 68* 50(158) -> 159* 50(259) -> 260* 50(161) -> 162* 50(292) -> 293* 50(143) -> 144* 50(168) -> 169* 50(304) -> 305* 50(316) -> 298* 50(3) -> 86* 50(163) -> 151* 50(2) -> 212* 50(174) -> 175* 50(177) -> 178* 50(43) -> 44* 50(162) -> 163* 50(307) -> 308* 50(239) -> 240* 50(14) -> 109* 50(80) -> 81* 50(241) -> 242* 50(167) -> 168* 50(186) -> 187* 50(269) -> 270* 50(6) -> 66* 50(69) -> 70* 50(50) -> 51* 50(217) -> 218* 50(181) -> 182* 50(243) -> 244* 50(190) -> 191* 50(97) -> 98* 50(268) -> 269* 50(175) -> 176* 50(232) -> 233* 50(21) -> 22* 50(278) -> 262* 50(172) -> 173* 50(227) -> 211* 50(68) -> 69* 50(200) -> 201* 50(197) -> 198* 50(265) -> 266* 50(189) -> 190* 50(93) -> 94* 50(236) -> 237* 50(180) -> 181* 50(132) -> 133* 50(184) -> 185* 00(2) -> 21* 00(71) -> 72* 00(178) -> 164* 00(253) -> 254* 00(188) -> 189* 00(315) -> 316* 00(233) -> 234* 00(23) -> 24* 00(313) -> 314* 00(130) -> 131* 00(51) -> 52* 00(24) -> 20* 00(79) -> 80* 00(247) -> 248* 00(131) -> 132* 00(121) -> 108* 00(110) -> 111* 00(95) -> 85* 00(32) -> 33* 00(195) -> 196* 00(229) -> 230* 00(216) -> 217* 00(274) -> 275* 00(224) -> 225* 00(70) -> 71* 00(31) -> 32* 00(165) -> 166* 00(14) -> 15* 00(154) -> 155* 00(314) -> 315* 00(15) -> 16* 00(22) -> 180* 00(305) -> 306* 00(234) -> 235* 00(6) -> 31* 00(7) -> 263* 00(128) -> 129* 00(198) -> 199* 00(157) -> 158* 00(242) -> 243* 00(60) -> 61* 00(11) -> 12* 00(169) -> 170* 00(124) -> 125* 00(117) -> 118* 00(94) -> 95* 00(88) -> 89* 00(255) -> 256* 00(192) -> 193* 00(287) -> 288* 00(296) -> 297* 00(29) -> 25* 00(286) -> 287* 00(125) -> 126* 20(240) -> 241* 20(16) -> 13* 20(171) -> 172* 20(2) -> 3* 20(103) -> 104* 20(48) -> 49* 20(297) -> 279* 20(49) -> 50* 20(223) -> 224* 20(215) -> 216* 20(83) -> 84* 20(261) -> 246* 20(285) -> 286* 20(221) -> 222* 20(264) -> 265* 20(284) -> 285* 20(40) -> 41* 20(271) -> 272* 20(299) -> 300* 20(3) -> 4* 20(82) -> 83* 20(18) -> 19* 20(129) -> 130* 20(202) -> 203* 20(294) -> 295* 20(283) -> 284* 20(155) -> 156* 20(231) -> 232* 20(220) -> 221* 20(6) -> 7* 20(99) -> 100* 20(310) -> 311* 20(173) -> 174* 20(118) -> 119* 20(86) -> 87* 20(19) -> 17* 20(230) -> 231* 20(159) -> 160* 20(183) -> 184* 20(251) -> 252* 20(14) -> 18* 20(76) -> 77* 20(78) -> 79* 20(1) -> 9* 20(123) -> 124* 20(182) -> 183* 20(98) -> 99* 20(114) -> 115* 40(272) -> 273* 40(196) -> 197* 40(149) -> 150* 40(101) -> 102* 40(81) -> 82* 40(248) -> 249* 40(52) -> 53* 40(312) -> 313* 40(3) -> 11* 40(256) -> 257* 40(170) -> 171* 40(107) -> 96* 40(273) -> 274* 40(139) -> 140* 40(56) -> 57* 40(14) -> 55* 40(281) -> 282* 40(277) -> 278* 40(238) -> 239* 40(302) -> 303* 40(135) -> 136* 40(210) -> 194* 40(105) -> 106* 40(203) -> 204* 40(61) -> 62* 40(308) -> 309* 40(258) -> 259* 40(260) -> 261* 40(89) -> 90* 40(47) -> 76* 40(12) -> 10* 40(254) -> 255* 40(222) -> 223* 40(218) -> 219* 40(77) -> 78* 40(115) -> 116* 40(37) -> 38* 40(133) -> 134* 40(249) -> 250* 40(32) -> 152* 40(147) -> 148* 40(113) -> 114* 40(225) -> 226* 40(295) -> 296* 40(74) -> 65* 40(120) -> 121* 40(21) -> 229* 40(45) -> 39* 40(31) -> 138* 40(2) -> 6* 40(109) -> 110* 30(38) -> 34* 30(226) -> 227* 30(156) -> 157* 30(282) -> 283* 30(176) -> 177* 30(213) -> 214* 30(263) -> 264* 30(57) -> 58* 30(2) -> 14* 30(22) -> 23* 30(116) -> 117* 30(36) -> 37* 30(14) -> 280* 30(28) -> 29* 30(191) -> 192* 30(63) -> 64* 30(90) -> 91* 30(214) -> 215* 30(72) -> 73* 30(109) -> 195* 30(136) -> 122* 30(84) -> 75* 30(145) -> 146* 30(6) -> 40* 30(27) -> 28* 30(201) -> 202* 30(289) -> 290* 30(237) -> 238* 30(199) -> 200* 30(311) -> 312* 30(142) -> 143* 30(138) -> 139* 30(288) -> 289* 30(111) -> 112* 30(106) -> 107* 30(134) -> 135* 30(206) -> 207* 30(87) -> 88* 30(276) -> 277* 30(26) -> 27* 30(21) -> 47* 30(91) -> 92* 30(66) -> 67* 30(33) -> 30* 30(44) -> 45* 30(7) -> 5* 30(3) -> 97* 30(252) -> 253* 30(144) -> 145* 30(300) -> 301* 30(301) -> 302* 30(92) -> 93* 30(141) -> 142* 30(212) -> 213* 30(245) -> 228* 30(35) -> 247* 30(244) -> 245* 21(318) -> 319* 228 -> 212,22 262 -> 212* 151 -> 212* 194 -> 26,123 328 -> 318* 320 -> 37* 164 -> 21* 17 -> 26* 46 -> 26,123 137 -> 212,66 30 -> 21* 85 -> 3* 75 -> 14,97 54 -> 26,299 6 -> 317* 121 -> 327* 179 -> 21* 13 -> 26,123 8 -> 26* 1 -> 26,123 246 -> 21* 20 -> 21* 65 -> 6* 34 -> 3* 5 -> 14,27 298 -> 212* 108 -> 21,31 39 -> 6* 122 -> 212* 211 -> 212* 96 -> 6,55 10 -> 6* 25 -> 3,18 279 -> 6,55 problem: Qed