YES Problem: 0(2(2(0(x1)))) -> 0(0(1(0(3(5(5(1(3(0(x1)))))))))) 0(3(2(1(x1)))) -> 0(0(0(0(0(0(0(2(3(3(x1)))))))))) 2(0(5(0(x1)))) -> 1(2(4(2(5(4(5(5(0(0(x1)))))))))) 2(0(5(2(x1)))) -> 1(4(3(4(0(3(3(0(0(3(x1)))))))))) 0(2(0(5(2(x1))))) -> 0(4(5(3(0(4(0(1(2(5(x1)))))))))) 0(2(4(0(5(x1))))) -> 1(0(4(1(0(3(3(4(0(5(x1)))))))))) 0(3(0(5(2(x1))))) -> 0(1(0(1(1(0(0(5(3(4(x1)))))))))) 2(2(0(0(5(x1))))) -> 2(3(1(0(4(5(5(0(1(0(x1)))))))))) 2(5(2(5(5(x1))))) -> 2(2(4(0(1(1(4(5(0(5(x1)))))))))) 3(2(0(1(2(x1))))) -> 3(4(3(3(3(3(2(3(4(4(x1)))))))))) 3(2(5(2(0(x1))))) -> 3(4(3(0(2(4(5(0(5(0(x1)))))))))) 5(3(0(2(2(x1))))) -> 5(3(0(0(0(4(1(0(0(0(x1)))))))))) 0(3(1(0(5(4(x1)))))) -> 0(0(4(5(2(1(2(0(1(5(x1)))))))))) 0(3(2(4(2(5(x1)))))) -> 0(3(2(5(1(0(4(0(4(0(x1)))))))))) 0(5(0(2(2(4(x1)))))) -> 4(5(0(0(5(1(5(1(1(4(x1)))))))))) 2(0(5(3(2(2(x1)))))) -> 4(3(0(0(1(1(2(0(5(0(x1)))))))))) 2(1(0(3(5(0(x1)))))) -> 4(3(0(0(4(4(0(5(4(0(x1)))))))))) 2(4(4(1(5(2(x1)))))) -> 2(0(2(4(5(4(5(1(1(3(x1)))))))))) 2(5(2(1(4(0(x1)))))) -> 1(4(5(5(1(1(0(0(2(0(x1)))))))))) 4(0(2(0(5(1(x1)))))) -> 0(2(5(1(1(1(4(3(1(5(x1)))))))))) 4(1(2(5(5(2(x1)))))) -> 4(2(3(0(0(0(0(1(0(3(x1)))))))))) 4(2(2(5(5(2(x1)))))) -> 1(3(3(3(2(3(5(1(3(4(x1)))))))))) 5(4(2(2(1(5(x1)))))) -> 4(0(1(0(1(5(5(2(2(5(x1)))))))))) 0(2(2(0(1(2(0(x1))))))) -> 0(4(3(4(2(3(5(4(0(0(x1)))))))))) 0(3(0(2(1(5(3(x1))))))) -> 0(4(5(1(3(0(0(0(5(0(x1)))))))))) 0(3(0(2(4(2(4(x1))))))) -> 4(5(0(1(2(1(4(4(2(4(x1)))))))))) 0(3(2(3(5(5(3(x1))))))) -> 0(3(3(4(1(3(2(5(5(3(x1)))))))))) 0(3(2(5(0(5(4(x1))))))) -> 4(5(0(0(5(4(1(4(0(1(x1)))))))))) 1(0(2(1(0(3(5(x1))))))) -> 1(0(0(0(2(1(1(2(1(5(x1)))))))))) 1(2(0(5(5(2(4(x1))))))) -> 3(1(3(4(4(2(3(4(4(5(x1)))))))))) 1(2(1(5(0(3(0(x1))))))) -> 3(4(3(2(1(5(2(0(1(0(x1)))))))))) 2(0(2(2(5(5(1(x1))))))) -> 3(2(5(4(3(1(4(5(5(0(x1)))))))))) 2(0(3(0(4(2(2(x1))))))) -> 3(3(2(2(0(1(1(1(3(2(x1)))))))))) 2(3(2(5(2(3(5(x1))))))) -> 3(1(4(3(1(0(3(1(3(5(x1)))))))))) 3(2(1(0(3(1(5(x1))))))) -> 1(1(3(1(3(0(2(4(2(5(x1)))))))))) 4(0(5(2(0(2(0(x1))))))) -> 4(0(4(4(2(0(0(1(0(0(x1)))))))))) 4(2(0(2(5(3(2(x1))))))) -> 1(4(3(4(0(5(5(5(4(1(x1)))))))))) 5(3(0(4(2(2(5(x1))))))) -> 5(1(2(0(5(0(1(5(0(5(x1)))))))))) Proof: String Reversal Processor: 0(2(2(0(x1)))) -> 0(3(1(5(5(3(0(1(0(0(x1)))))))))) 1(2(3(0(x1)))) -> 3(3(2(0(0(0(0(0(0(0(x1)))))))))) 0(5(0(2(x1)))) -> 0(0(5(5(4(5(2(4(2(1(x1)))))))))) 2(5(0(2(x1)))) -> 3(0(0(3(3(0(4(3(4(1(x1)))))))))) 2(5(0(2(0(x1))))) -> 5(2(1(0(4(0(3(5(4(0(x1)))))))))) 5(0(4(2(0(x1))))) -> 5(0(4(3(3(0(1(4(0(1(x1)))))))))) 2(5(0(3(0(x1))))) -> 4(3(5(0(0(1(1(0(1(0(x1)))))))))) 5(0(0(2(2(x1))))) -> 0(1(0(5(5(4(0(1(3(2(x1)))))))))) 5(5(2(5(2(x1))))) -> 5(0(5(4(1(1(0(4(2(2(x1)))))))))) 2(1(0(2(3(x1))))) -> 4(4(3(2(3(3(3(3(4(3(x1)))))))))) 0(2(5(2(3(x1))))) -> 0(5(0(5(4(2(0(3(4(3(x1)))))))))) 2(2(0(3(5(x1))))) -> 0(0(0(1(4(0(0(0(3(5(x1)))))))))) 4(5(0(1(3(0(x1)))))) -> 5(1(0(2(1(2(5(4(0(0(x1)))))))))) 5(2(4(2(3(0(x1)))))) -> 0(4(0(4(0(1(5(2(3(0(x1)))))))))) 4(2(2(0(5(0(x1)))))) -> 4(1(1(5(1(5(0(0(5(4(x1)))))))))) 2(2(3(5(0(2(x1)))))) -> 0(5(0(2(1(1(0(0(3(4(x1)))))))))) 0(5(3(0(1(2(x1)))))) -> 0(4(5(0(4(4(0(0(3(4(x1)))))))))) 2(5(1(4(4(2(x1)))))) -> 3(1(1(5(4(5(4(2(0(2(x1)))))))))) 0(4(1(2(5(2(x1)))))) -> 0(2(0(0(1(1(5(5(4(1(x1)))))))))) 1(5(0(2(0(4(x1)))))) -> 5(1(3(4(1(1(1(5(2(0(x1)))))))))) 2(5(5(2(1(4(x1)))))) -> 3(0(1(0(0(0(0(3(2(4(x1)))))))))) 2(5(5(2(2(4(x1)))))) -> 4(3(1(5(3(2(3(3(3(1(x1)))))))))) 5(1(2(2(4(5(x1)))))) -> 5(2(2(5(5(1(0(1(0(4(x1)))))))))) 0(2(1(0(2(2(0(x1))))))) -> 0(0(4(5(3(2(4(3(4(0(x1)))))))))) 3(5(1(2(0(3(0(x1))))))) -> 0(5(0(0(0(3(1(5(4(0(x1)))))))))) 4(2(4(2(0(3(0(x1))))))) -> 4(2(4(4(1(2(1(0(5(4(x1)))))))))) 3(5(5(3(2(3(0(x1))))))) -> 3(5(5(2(3(1(4(3(3(0(x1)))))))))) 4(5(0(5(2(3(0(x1))))))) -> 1(0(4(1(4(5(0(0(5(4(x1)))))))))) 5(3(0(1(2(0(1(x1))))))) -> 5(1(2(1(1(2(0(0(0(1(x1)))))))))) 4(2(5(5(0(2(1(x1))))))) -> 5(4(4(3(2(4(4(3(1(3(x1)))))))))) 0(3(0(5(1(2(1(x1))))))) -> 0(1(0(2(5(1(2(3(4(3(x1)))))))))) 1(5(5(2(2(0(2(x1))))))) -> 0(5(5(4(1(3(4(5(2(3(x1)))))))))) 2(2(4(0(3(0(2(x1))))))) -> 2(3(1(1(1(0(2(2(3(3(x1)))))))))) 5(3(2(5(2(3(2(x1))))))) -> 5(3(1(3(0(1(3(4(1(3(x1)))))))))) 5(1(3(0(1(2(3(x1))))))) -> 5(2(4(2(0(3(1(3(1(1(x1)))))))))) 0(2(0(2(5(0(4(x1))))))) -> 0(0(1(0(0(2(4(4(0(4(x1)))))))))) 2(3(5(2(0(2(4(x1))))))) -> 1(4(5(5(5(0(4(3(4(1(x1)))))))))) 5(2(2(4(0(3(5(x1))))))) -> 5(0(5(1(0(5(0(2(1(5(x1)))))))))) Bounds Processor: bound: 1 enrichment: match automaton: final states: {314,309,301,292,284,275,266,259,250,242,237,229,222, 215,207,198,189,180,171,163,154,148,139,129,120,112, 102,95,85,76,66,57,48,39,30,20,12,1} transitions: 01(365) -> 366* 01(364) -> 365* 01(332) -> 333* 01(331) -> 332* 41(328) -> 329* 41(358) -> 359* 41(361) -> 362* 41(325) -> 326* 00(69) -> 70* 00(182) -> 183* 00(153) -> 148* 00(168) -> 169* 00(265) -> 259* 00(88) -> 96* 00(200) -> 201* 00(296) -> 297* 00(13) -> 14* 00(287) -> 288* 00(106) -> 107* 00(145) -> 146* 00(185) -> 186* 00(5) -> 6* 00(58) -> 59* 00(109) -> 110* 00(219) -> 220* 00(187) -> 188* 00(16) -> 17* 00(44) -> 45* 00(78) -> 79* 00(278) -> 279* 00(243) -> 244* 00(321) -> 322* 00(73) -> 74* 00(126) -> 127* 00(183) -> 184* 00(75) -> 66* 00(42) -> 43* 00(240) -> 241* 00(101) -> 95* 00(15) -> 16* 00(33) -> 34* 00(307) -> 308* 00(130) -> 199* 00(29) -> 20* 00(305) -> 306* 00(111) -> 102* 00(221) -> 215* 00(316) -> 317* 00(132) -> 133* 00(62) -> 63* 00(304) -> 305* 00(140) -> 141* 00(141) -> 142* 00(83) -> 84* 00(218) -> 219* 00(14) -> 15* 00(147) -> 139* 00(11) -> 1* 00(214) -> 207* 00(3) -> 4* 00(150) -> 151* 00(104) -> 105* 00(37) -> 38* 00(61) -> 62* 00(124) -> 125* 00(21) -> 49* 00(4) -> 13* 00(217) -> 218* 00(131) -> 132* 00(55) -> 56* 00(308) -> 301* 00(36) -> 37* 00(170) -> 163* 00(67) -> 155* 00(99) -> 100* 00(213) -> 214* 00(110) -> 111* 00(105) -> 106* 00(49) -> 243* 00(184) -> 185* 00(128) -> 120* 00(263) -> 264* 00(117) -> 118* 00(28) -> 29* 00(318) -> 319* 00(274) -> 266* 00(51) -> 52* 00(167) -> 168* 00(2) -> 3* f60() -> 2* 40(257) -> 258* 40(81) -> 82* 40(86) -> 87* 40(25) -> 26* 40(158) -> 159* 40(226) -> 227* 40(134) -> 238* 40(149) -> 150* 40(208) -> 209* 40(298) -> 299* 40(271) -> 272* 40(107) -> 108* 40(142) -> 149* 40(3) -> 40* 40(228) -> 222* 40(2) -> 130* 40(43) -> 44* 40(256) -> 257* 40(49) -> 50* 40(239) -> 240* 40(4) -> 113* 40(127) -> 128* 40(212) -> 213* 40(252) -> 253* 40(251) -> 285* 40(199) -> 302* 40(22) -> 23* 40(225) -> 226* 40(32) -> 33* 40(54) -> 55* 40(125) -> 126* 40(94) -> 85* 40(97) -> 98* 40(253) -> 254* 40(268) -> 269* 40(21) -> 31* 40(152) -> 153* 40(312) -> 313* 40(197) -> 189* 40(65) -> 57* 40(230) -> 231* 40(156) -> 157* 40(77) -> 78* 40(93) -> 94* 40(302) -> 303* 40(70) -> 71* 40(176) -> 177* 40(138) -> 129* 20(2) -> 67* 20(204) -> 205* 20(315) -> 316* 20(233) -> 234* 20(91) -> 92* 20(303) -> 304* 20(23) -> 24* 20(130) -> 181* 20(205) -> 206* 20(262) -> 263* 20(114) -> 115* 20(247) -> 248* 20(144) -> 145* 20(254) -> 255* 20(121) -> 122* 20(3) -> 172* 20(116) -> 117* 20(209) -> 210* 20(155) -> 156* 20(276) -> 277* 20(67) -> 77* 20(96) -> 97* 20(169) -> 170* 20(297) -> 298* 20(88) -> 260* 20(86) -> 267* 20(46) -> 47* 20(227) -> 228* 20(192) -> 193* 20(223) -> 224* 20(244) -> 245* 20(283) -> 275* 20(21) -> 22* 20(17) -> 18* 20(277) -> 278* 20(299) -> 300* 30(190) -> 191* 30(52) -> 53* 30(89) -> 90* 30(188) -> 180* 30(290) -> 291* 30(269) -> 270* 30(2) -> 86* 30(10) -> 11* 30(67) -> 68* 30(103) -> 104* 30(31) -> 32* 30(181) -> 182* 30(53) -> 54* 30(21) -> 190* 30(193) -> 194* 30(162) -> 154* 30(196) -> 197* 30(236) -> 229* 30(191) -> 192* 30(232) -> 233* 30(285) -> 286* 30(288) -> 289* 30(255) -> 256* 30(121) -> 230* 30(64) -> 65* 30(40) -> 208* 30(3) -> 121* 30(18) -> 19* 30(87) -> 88* 30(282) -> 283* 30(90) -> 91* 30(88) -> 89* 30(92) -> 93* 30(6) -> 7* 30(38) -> 30* 30(34) -> 35* 30(210) -> 211* 30(35) -> 36* 30(293) -> 294* 30(130) -> 140* 30(86) -> 276* 30(19) -> 12* 30(251) -> 252* 30(216) -> 217* 30(41) -> 42* 30(177) -> 178* 30(295) -> 296* 50(151) -> 152* 50(7) -> 8* 50(272) -> 273* 50(40) -> 41* 50(122) -> 123* 50(194) -> 195* 50(130) -> 131* 50(146) -> 147* 50(206) -> 198* 50(84) -> 76* 50(63) -> 64* 50(320) -> 321* 50(300) -> 292* 50(273) -> 274* 50(322) -> 314* 50(56) -> 48* 50(27) -> 28* 50(172) -> 173* 50(135) -> 136* 50(203) -> 204* 50(258) -> 250* 50(8) -> 9* 50(47) -> 39* 50(317) -> 318* 50(267) -> 268* 50(164) -> 165* 50(220) -> 221* 50(119) -> 112* 50(100) -> 101* 50(34) -> 310* 50(24) -> 25* 50(234) -> 235* 50(133) -> 134* 50(291) -> 284* 50(98) -> 99* 50(249) -> 242* 50(202) -> 203* 50(310) -> 311* 50(157) -> 158* 50(211) -> 212* 50(71) -> 72* 50(26) -> 27* 50(113) -> 114* 50(179) -> 171* 50(261) -> 262* 50(311) -> 312* 50(159) -> 160* 50(82) -> 83* 50(31) -> 164* 50(235) -> 236* 50(2) -> 103* 50(72) -> 73* 10(132) -> 223* 10(264) -> 265* 10(103) -> 315* 10(306) -> 307* 10(241) -> 237* 10(294) -> 295* 10(178) -> 179* 10(246) -> 247* 10(2) -> 21* 10(160) -> 161* 10(4) -> 5* 10(281) -> 282* 10(161) -> 162* 10(136) -> 137* 10(60) -> 61* 10(79) -> 80* 10(248) -> 249* 10(201) -> 202* 10(118) -> 119* 10(59) -> 60* 10(289) -> 290* 10(9) -> 10* 10(199) -> 200* 10(68) -> 69* 10(142) -> 143* 10(108) -> 109* 10(238) -> 239* 10(165) -> 166* 10(134) -> 135* 10(286) -> 287* 10(80) -> 81* 10(50) -> 51* 10(143) -> 144* 10(313) -> 309* 10(21) -> 293* 10(123) -> 124* 10(231) -> 232* 10(319) -> 320* 10(45) -> 46* 10(224) -> 225* 10(195) -> 196* 10(280) -> 281* 10(186) -> 187* 10(86) -> 251* 10(3) -> 58* 10(174) -> 175* 10(41) -> 216* 10(270) -> 271* 10(245) -> 246* 10(166) -> 167* 10(173) -> 174* 10(115) -> 116* 10(74) -> 75* 10(137) -> 138* 10(175) -> 176* 10(260) -> 261* 10(279) -> 280* 21(324) -> 325* 21(357) -> 358* 21(359) -> 360* 21(326) -> 327* 11(323) -> 324* 11(356) -> 357* 51(363) -> 364* 51(330) -> 331* 51(327) -> 328* 51(329) -> 330* 51(360) -> 361* 51(362) -> 363* 163 -> 3,199 266 -> 21,315,323 144 -> 356* 259 -> 3* 215 -> 86,104 148 -> 3* 242 -> 103* 154 -> 67* 250 -> 130* 198 -> 103* 48 -> 103* 189 -> 67* 30 -> 67* 112 -> 130* 85 -> 67,22 12 -> 21* 66 -> 103* 284 -> 103* 180 -> 67* 301 -> 3,155 292 -> 103* 237 -> 130* 171 -> 21,315,323 207 -> 3,155 309 -> 67,267 76 -> 103* 139 -> 67,77 222 -> 130* 1 -> 3,155 20 -> 3* 275 -> 67,77 95 -> 3,155 333 -> 319* 57 -> 67* 120 -> 103* 39 -> 67* 129 -> 130,78 229 -> 86,104 315 -> 323* 102 -> 67,77 366 -> 139* 314 -> 103* problem: Qed