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