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