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