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