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