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