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