24.79/6.75 YES 24.79/6.76 24.79/6.76 Problem: 24.79/6.76 3(4(5(x1))) -> 3(2(3(2(1(5(3(5(2(2(x1)))))))))) 24.79/6.76 0(4(5(3(x1)))) -> 4(0(3(2(3(1(1(5(0(5(x1)))))))))) 24.79/6.76 0(5(4(1(x1)))) -> 0(1(4(1(5(1(2(2(0(1(x1)))))))))) 24.79/6.76 3(4(5(3(x1)))) -> 3(2(3(2(1(4(1(0(3(2(x1)))))))))) 24.79/6.76 3(5(0(5(x1)))) -> 3(2(1(4(3(3(2(0(1(5(x1)))))))))) 24.79/6.76 4(0(5(5(x1)))) -> 3(3(2(2(2(0(3(5(3(5(x1)))))))))) 24.79/6.76 5(5(3(4(x1)))) -> 1(1(4(4(1(4(3(4(2(2(x1)))))))))) 24.79/6.76 0(5(5(1(0(x1))))) -> 0(2(4(5(3(1(5(1(4(0(x1)))))))))) 24.79/6.76 2(3(5(1(0(x1))))) -> 2(1(2(5(1(1(5(4(2(0(x1)))))))))) 24.79/6.76 3(4(5(0(0(x1))))) -> 4(3(3(1(2(5(0(4(3(0(x1)))))))))) 24.79/6.76 5(2(3(5(2(x1))))) -> 5(2(2(1(2(0(5(2(2(2(x1)))))))))) 24.79/6.76 5(4(5(4(1(x1))))) -> 1(5(3(4(1(0(4(2(0(1(x1)))))))))) 24.79/6.76 0(0(5(0(5(5(x1)))))) -> 1(1(3(4(3(0(2(4(5(2(x1)))))))))) 24.79/6.76 0(5(4(3(4(5(x1)))))) -> 1(5(0(2(2(3(4(3(2(5(x1)))))))))) 24.79/6.76 0(5(4(5(2(0(x1)))))) -> 0(2(2(5(3(3(2(2(2(0(x1)))))))))) 24.79/6.76 0(5(5(1(0(5(x1)))))) -> 1(2(0(2(5(4(3(1(1(5(x1)))))))))) 24.79/6.76 0(5(5(1(1(3(x1)))))) -> 0(5(0(3(2(1(4(1(4(2(x1)))))))))) 24.79/6.76 1(2(3(5(4(4(x1)))))) -> 4(0(2(0(4(0(3(2(2(4(x1)))))))))) 24.79/6.76 3(0(4(5(3(3(x1)))))) -> 4(2(0(5(4(2(1(0(0(3(x1)))))))))) 24.79/6.76 3(4(0(5(0(1(x1)))))) -> 3(2(1(3(1(0(0(4(0(1(x1)))))))))) 24.79/6.76 4(0(4(5(4(1(x1)))))) -> 4(4(3(1(1(1(4(0(1(1(x1)))))))))) 24.79/6.76 4(3(5(0(5(5(x1)))))) -> 4(3(2(5(2(5(2(1(3(5(x1)))))))))) 24.79/6.76 5(5(0(1(0(0(x1)))))) -> 5(0(4(2(4(4(2(2(4(0(x1)))))))))) 24.79/6.76 0(0(5(0(4(0(1(x1))))))) -> 5(1(4(4(2(0(3(3(4(1(x1)))))))))) 24.79/6.76 0(0(5(3(5(3(0(x1))))))) -> 0(2(5(0(2(4(3(1(0(0(x1)))))))))) 24.79/6.76 0(1(2(5(2(3(5(x1))))))) -> 4(4(3(1(4(0(5(1(5(5(x1)))))))))) 24.79/6.76 0(5(5(5(2(3(3(x1))))))) -> 1(0(1(3(0(5(4(2(4(2(x1)))))))))) 24.79/6.76 1(0(0(5(2(3(4(x1))))))) -> 2(4(1(4(5(3(2(1(0(4(x1)))))))))) 24.79/6.76 1(5(5(2(2(5(5(x1))))))) -> 1(0(4(2(5(3(1(5(1(5(x1)))))))))) 24.79/6.76 2(3(4(3(4(5(3(x1))))))) -> 0(1(5(2(3(5(0(1(2(2(x1)))))))))) 24.79/6.76 4(0(5(0(5(4(5(x1))))))) -> 1(2(1(3(2(2(5(3(5(5(x1)))))))))) 24.79/6.76 5(3(5(5(5(4(1(x1))))))) -> 0(1(2(0(4(3(2(5(4(1(x1)))))))))) 24.79/6.76 5(4(5(5(3(3(4(x1))))))) -> 1(5(0(2(3(4(1(3(0(0(x1)))))))))) 24.79/6.76 24.79/6.76 Proof: 24.79/6.76 String Reversal Processor: 24.79/6.76 5(4(3(x1))) -> 2(2(5(3(5(1(2(3(2(3(x1)))))))))) 24.79/6.76 3(5(4(0(x1)))) -> 5(0(5(1(1(3(2(3(0(4(x1)))))))))) 24.79/6.76 1(4(5(0(x1)))) -> 1(0(2(2(1(5(1(4(1(0(x1)))))))))) 24.79/6.76 3(5(4(3(x1)))) -> 2(3(0(1(4(1(2(3(2(3(x1)))))))))) 24.79/6.76 5(0(5(3(x1)))) -> 5(1(0(2(3(3(4(1(2(3(x1)))))))))) 24.79/6.76 5(5(0(4(x1)))) -> 5(3(5(3(0(2(2(2(3(3(x1)))))))))) 24.79/6.76 4(3(5(5(x1)))) -> 2(2(4(3(4(1(4(4(1(1(x1)))))))))) 24.79/6.76 0(1(5(5(0(x1))))) -> 0(4(1(5(1(3(5(4(2(0(x1)))))))))) 24.79/6.76 0(1(5(3(2(x1))))) -> 0(2(4(5(1(1(5(2(1(2(x1)))))))))) 24.79/6.76 0(0(5(4(3(x1))))) -> 0(3(4(0(5(2(1(3(3(4(x1)))))))))) 24.79/6.76 2(5(3(2(5(x1))))) -> 2(2(2(5(0(2(1(2(2(5(x1)))))))))) 24.79/6.76 1(4(5(4(5(x1))))) -> 1(0(2(4(0(1(4(3(5(1(x1)))))))))) 24.79/6.76 5(5(0(5(0(0(x1)))))) -> 2(5(4(2(0(3(4(3(1(1(x1)))))))))) 24.79/6.76 5(4(3(4(5(0(x1)))))) -> 5(2(3(4(3(2(2(0(5(1(x1)))))))))) 24.79/6.76 0(2(5(4(5(0(x1)))))) -> 0(2(2(2(3(3(5(2(2(0(x1)))))))))) 24.79/6.76 5(0(1(5(5(0(x1)))))) -> 5(1(1(3(4(5(2(0(2(1(x1)))))))))) 24.79/6.76 3(1(1(5(5(0(x1)))))) -> 2(4(1(4(1(2(3(0(5(0(x1)))))))))) 24.79/6.76 4(4(5(3(2(1(x1)))))) -> 4(2(2(3(0(4(0(2(0(4(x1)))))))))) 24.79/6.76 3(3(5(4(0(3(x1)))))) -> 3(0(0(1(2(4(5(0(2(4(x1)))))))))) 24.79/6.76 1(0(5(0(4(3(x1)))))) -> 1(0(4(0(0(1(3(1(2(3(x1)))))))))) 24.79/6.76 1(4(5(4(0(4(x1)))))) -> 1(1(0(4(1(1(1(3(4(4(x1)))))))))) 24.79/6.76 5(5(0(5(3(4(x1)))))) -> 5(3(1(2(5(2(5(2(3(4(x1)))))))))) 24.79/6.76 0(0(1(0(5(5(x1)))))) -> 0(4(2(2(4(4(2(4(0(5(x1)))))))))) 24.79/6.76 1(0(4(0(5(0(0(x1))))))) -> 1(4(3(3(0(2(4(4(1(5(x1)))))))))) 24.79/6.76 0(3(5(3(5(0(0(x1))))))) -> 0(0(1(3(4(2(0(5(2(0(x1)))))))))) 24.79/6.76 5(3(2(5(2(1(0(x1))))))) -> 5(5(1(5(0(4(1(3(4(4(x1)))))))))) 24.79/6.76 3(3(2(5(5(5(0(x1))))))) -> 2(4(2(4(5(0(3(1(0(1(x1)))))))))) 24.79/6.76 4(3(2(5(0(0(1(x1))))))) -> 4(0(1(2(3(5(4(1(4(2(x1)))))))))) 24.79/6.76 5(5(2(2(5(5(1(x1))))))) -> 5(1(5(1(3(5(2(4(0(1(x1)))))))))) 24.79/6.76 3(5(4(3(4(3(2(x1))))))) -> 2(2(1(0(5(3(2(5(1(0(x1)))))))))) 24.79/6.76 5(4(5(0(5(0(4(x1))))))) -> 5(5(3(5(2(2(3(1(2(1(x1)))))))))) 24.79/6.76 1(4(5(5(5(3(5(x1))))))) -> 1(4(5(2(3(4(0(2(1(0(x1)))))))))) 24.79/6.76 4(3(3(5(5(4(5(x1))))))) -> 0(0(3(1(4(3(2(0(5(1(x1)))))))))) 24.79/6.76 Bounds Processor: 24.79/6.76 bound: 0 24.79/6.76 enrichment: match 24.79/6.76 automaton: 24.79/6.76 final states: {276,268,260,252,244,235,226,220,212,203,194,186,177, 24.79/6.76 170,161,153,144,135,127,119,111,102,92,83,73,64,54, 24.79/6.76 45,37,32,22,12,1} 24.79/6.76 transitions: 24.79/6.76 f60() -> 2* 24.79/6.76 20(75) -> 76* 24.79/6.76 20(272) -> 273* 24.79/6.76 20(65) -> 128* 24.79/6.76 20(262) -> 263* 24.79/6.76 20(55) -> 136* 24.79/6.76 20(232) -> 233* 24.79/6.76 20(15) -> 16* 24.79/6.76 20(10) -> 11* 24.79/6.76 20(5) -> 6* 24.79/6.76 20(152) -> 144* 24.79/6.76 20(147) -> 148* 24.79/6.76 20(137) -> 138* 24.79/6.76 20(132) -> 133* 24.79/6.76 20(62) -> 63* 24.79/6.76 20(259) -> 252* 24.79/6.76 20(47) -> 48* 24.79/6.76 20(234) -> 226* 24.79/6.76 20(214) -> 215* 24.79/6.76 20(2) -> 74* 24.79/6.76 20(199) -> 200* 24.79/6.76 20(159) -> 160* 24.79/6.76 20(99) -> 100* 24.79/6.76 20(94) -> 95* 24.79/6.76 20(84) -> 187* 24.79/6.76 20(29) -> 30* 24.79/6.76 20(24) -> 269* 24.79/6.76 20(14) -> 154* 24.79/6.76 20(206) -> 207* 24.79/6.76 20(196) -> 197* 24.79/6.76 20(131) -> 132* 24.79/6.76 20(121) -> 122* 24.79/6.76 20(101) -> 92* 24.79/6.76 20(96) -> 97* 24.79/6.76 20(86) -> 87* 24.79/6.76 20(81) -> 82* 24.79/6.76 20(263) -> 264* 24.79/6.76 20(258) -> 259* 24.79/6.76 20(253) -> 254* 24.79/6.76 20(46) -> 47* 24.79/6.76 20(41) -> 42* 24.79/6.76 20(36) -> 32* 24.79/6.76 20(11) -> 1* 24.79/6.76 20(188) -> 189* 24.79/6.76 20(158) -> 159* 24.79/6.76 20(133) -> 134* 24.79/6.76 20(118) -> 111* 24.79/6.76 20(108) -> 109* 24.79/6.76 20(93) -> 94* 24.79/6.76 20(63) -> 54* 24.79/6.76 20(48) -> 49* 24.79/6.76 20(245) -> 246* 24.79/6.76 20(240) -> 241* 24.79/6.76 20(28) -> 29* 24.79/6.76 20(23) -> 65* 24.79/6.76 20(13) -> 162* 24.79/6.76 20(3) -> 4* 24.79/6.76 20(200) -> 201* 24.79/6.76 20(190) -> 191* 24.79/6.76 20(165) -> 166* 24.79/6.76 20(125) -> 126* 24.79/6.76 20(120) -> 121* 24.79/6.76 20(115) -> 116* 24.79/6.76 20(100) -> 101* 24.79/6.76 50(267) -> 260* 24.79/6.76 50(65) -> 213* 24.79/6.76 50(55) -> 103* 24.79/6.76 50(222) -> 223* 24.79/6.76 50(187) -> 188* 24.79/6.76 50(117) -> 118* 24.79/6.76 50(87) -> 88* 24.79/6.76 50(264) -> 265* 24.79/6.76 50(249) -> 250* 24.79/6.76 50(224) -> 225* 24.79/6.76 50(7) -> 8* 24.79/6.76 50(2) -> 93* 24.79/6.76 50(189) -> 190* 24.79/6.76 50(79) -> 80* 24.79/6.76 50(69) -> 70* 24.79/6.76 50(266) -> 267* 24.79/6.76 50(251) -> 244* 24.79/6.76 50(246) -> 247* 24.79/6.76 50(44) -> 37* 24.79/6.76 50(24) -> 253* 24.79/6.76 50(19) -> 20* 24.79/6.76 50(9) -> 10* 24.79/6.76 50(126) -> 119* 24.79/6.76 50(76) -> 77* 24.79/6.76 50(273) -> 274* 24.79/6.76 50(66) -> 67* 24.79/6.76 50(51) -> 52* 24.79/6.76 50(238) -> 239* 24.79/6.76 50(26) -> 27* 24.79/6.76 50(21) -> 12* 24.79/6.76 50(193) -> 186* 24.79/6.76 50(163) -> 164* 24.79/6.76 50(143) -> 135* 24.79/6.76 50(138) -> 139* 24.79/6.76 50(128) -> 129* 24.79/6.76 50(98) -> 99* 24.79/6.76 50(255) -> 256* 24.79/6.76 50(53) -> 45* 24.79/6.76 50(230) -> 231* 24.79/6.76 50(225) -> 220* 24.79/6.76 50(23) -> 145* 24.79/6.76 30(60) -> 61* 24.79/6.76 30(50) -> 51* 24.79/6.76 30(247) -> 248* 24.79/6.76 30(40) -> 41* 24.79/6.76 30(35) -> 36* 24.79/6.76 30(192) -> 193* 24.79/6.76 30(157) -> 158* 24.79/6.76 30(122) -> 123* 24.79/6.76 30(279) -> 280* 24.79/6.76 30(67) -> 68* 24.79/6.76 30(254) -> 255* 24.79/6.76 30(52) -> 53* 24.79/6.76 30(239) -> 240* 24.79/6.76 30(209) -> 210* 24.79/6.76 30(2) -> 3* 24.79/6.76 30(169) -> 161* 24.79/6.76 30(129) -> 130* 24.79/6.76 30(124) -> 125* 24.79/6.76 30(84) -> 85* 24.79/6.76 30(271) -> 272* 24.79/6.76 30(261) -> 262* 24.79/6.76 30(39) -> 40* 24.79/6.76 30(216) -> 217* 24.79/6.76 30(14) -> 15* 24.79/6.76 30(4) -> 5* 24.79/6.76 30(146) -> 147* 24.79/6.76 30(121) -> 277* 24.79/6.76 30(56) -> 112* 24.79/6.76 30(228) -> 229* 24.79/6.76 30(16) -> 17* 24.79/6.76 30(208) -> 209* 24.79/6.76 30(178) -> 179* 24.79/6.76 30(113) -> 114* 24.79/6.76 30(103) -> 104* 24.79/6.76 30(265) -> 266* 24.79/6.76 30(38) -> 171* 24.79/6.76 30(13) -> 84* 24.79/6.76 30(8) -> 9* 24.79/6.76 30(3) -> 46* 24.79/6.76 30(140) -> 141* 24.79/6.76 30(130) -> 131* 24.79/6.76 30(90) -> 91* 24.79/6.76 10(70) -> 71* 24.79/6.76 10(257) -> 258* 24.79/6.76 10(55) -> 56* 24.79/6.76 10(227) -> 228* 24.79/6.76 10(25) -> 26* 24.79/6.76 10(217) -> 218* 24.79/6.76 10(142) -> 143* 24.79/6.76 10(77) -> 78* 24.79/6.76 10(27) -> 28* 24.79/6.76 10(17) -> 18* 24.79/6.76 10(2) -> 55* 24.79/6.76 10(184) -> 185* 24.79/6.76 10(179) -> 180* 24.79/6.76 10(74) -> 75* 24.79/6.76 10(241) -> 242* 24.79/6.76 10(236) -> 237* 24.79/6.76 10(211) -> 203* 24.79/6.76 10(4) -> 38* 24.79/6.76 10(191) -> 192* 24.79/6.76 10(181) -> 182* 24.79/6.76 10(176) -> 170* 24.79/6.76 10(171) -> 172* 24.79/6.76 10(166) -> 167* 24.79/6.76 10(141) -> 142* 24.79/6.76 10(136) -> 261* 24.79/6.76 10(278) -> 279* 24.79/6.76 10(248) -> 249* 24.79/6.76 10(31) -> 22* 24.79/6.76 10(223) -> 224* 24.79/6.76 10(6) -> 7* 24.79/6.76 10(148) -> 149* 24.79/6.76 10(93) -> 204* 24.79/6.76 10(78) -> 79* 24.79/6.76 10(275) -> 268* 24.79/6.76 10(68) -> 69* 24.79/6.76 10(58) -> 59* 24.79/6.76 10(250) -> 251* 24.79/6.76 10(43) -> 44* 24.79/6.76 10(33) -> 34* 24.79/6.76 10(23) -> 24* 24.79/6.76 10(18) -> 19* 24.79/6.76 10(185) -> 177* 24.79/6.76 10(180) -> 181* 24.79/6.76 10(150) -> 151* 24.79/6.76 10(110) -> 102* 24.79/6.76 10(105) -> 106* 24.79/6.76 10(95) -> 96* 24.79/6.76 10(85) -> 86* 24.79/6.76 00(55) -> 227* 24.79/6.76 00(242) -> 243* 24.79/6.76 00(30) -> 31* 24.79/6.76 00(20) -> 21* 24.79/6.76 00(207) -> 208* 24.79/6.76 00(202) -> 194* 24.79/6.76 00(172) -> 173* 24.79/6.76 00(167) -> 168* 24.79/6.76 00(162) -> 163* 24.79/6.76 00(97) -> 98* 24.79/6.76 00(82) -> 73* 24.79/6.76 00(72) -> 64* 24.79/6.76 00(269) -> 270* 24.79/6.76 00(42) -> 43* 24.79/6.76 00(229) -> 230* 24.79/6.76 00(219) -> 212* 24.79/6.76 00(2) -> 23* 24.79/6.76 00(154) -> 155* 24.79/6.76 00(134) -> 127* 24.79/6.76 00(114) -> 115* 24.79/6.76 00(109) -> 110* 24.79/6.76 00(281) -> 276* 24.79/6.76 00(256) -> 257* 24.79/6.76 00(49) -> 50* 24.79/6.76 00(34) -> 35* 24.79/6.76 00(221) -> 222* 24.79/6.76 00(156) -> 157* 24.79/6.76 00(136) -> 137* 24.79/6.76 00(106) -> 107* 24.79/6.76 00(91) -> 83* 24.79/6.76 00(218) -> 219* 24.79/6.76 00(213) -> 214* 24.79/6.76 00(183) -> 184* 24.79/6.76 00(173) -> 174* 24.79/6.76 00(168) -> 169* 24.79/6.76 00(103) -> 120* 24.79/6.76 00(93) -> 195* 24.79/6.76 00(88) -> 89* 24.79/6.76 00(280) -> 281* 24.79/6.76 00(13) -> 14* 24.79/6.76 00(175) -> 176* 24.79/6.76 00(145) -> 146* 24.79/6.76 40(80) -> 81* 24.79/6.76 40(277) -> 278* 24.79/6.76 40(65) -> 66* 24.79/6.76 40(237) -> 238* 24.79/6.76 40(227) -> 245* 24.79/6.76 40(197) -> 198* 24.79/6.76 40(182) -> 183* 24.79/6.76 40(112) -> 113* 24.79/6.76 40(107) -> 108* 24.79/6.76 40(274) -> 275* 24.79/6.76 40(57) -> 58* 24.79/6.76 40(7) -> 33* 24.79/6.76 40(204) -> 205* 24.79/6.76 40(2) -> 13* 24.79/6.76 40(174) -> 175* 24.79/6.76 40(164) -> 165* 24.79/6.76 40(149) -> 150* 24.79/6.76 40(139) -> 140* 24.79/6.76 40(104) -> 105* 24.79/6.76 40(89) -> 90* 24.79/6.76 40(74) -> 236* 24.79/6.76 40(59) -> 60* 24.79/6.76 40(231) -> 232* 24.79/6.76 40(24) -> 25* 24.79/6.76 40(201) -> 202* 24.79/6.76 40(151) -> 152* 24.79/6.76 40(116) -> 117* 24.79/6.76 40(71) -> 72* 24.79/6.76 40(61) -> 62* 24.79/6.76 40(56) -> 57* 24.79/6.76 40(243) -> 235* 24.79/6.76 40(233) -> 234* 24.79/6.76 40(198) -> 199* 24.79/6.76 40(123) -> 124* 24.79/6.76 40(270) -> 271* 24.79/6.76 40(38) -> 39* 24.79/6.76 40(215) -> 216* 24.79/6.76 40(13) -> 178* 24.79/6.76 40(210) -> 211* 24.79/6.76 40(205) -> 206* 24.79/6.76 40(195) -> 196* 24.79/6.76 40(180) -> 221* 24.79/6.76 40(160) -> 153* 24.79/6.76 40(155) -> 156* 24.79/6.76 1 -> 93* 24.79/6.76 12 -> 3* 24.79/6.76 22 -> 55* 24.79/6.76 32 -> 3* 24.79/6.76 37 -> 93,145 24.79/6.76 45 -> 93* 24.79/6.76 54 -> 13* 24.79/6.76 64 -> 23,227 24.79/6.76 73 -> 23,227 24.79/6.76 83 -> 23* 24.79/6.76 92 -> 74,94 24.79/6.76 102 -> 55* 24.79/6.76 111 -> 93* 24.79/6.76 119 -> 93* 24.79/6.76 127 -> 23* 24.79/6.76 135 -> 93,145 24.79/6.76 144 -> 3,112 24.79/6.76 153 -> 13,178 24.79/6.76 161 -> 3,46 24.79/6.76 170 -> 55,24 24.79/6.76 177 -> 55* 24.79/6.76 186 -> 93* 24.79/6.76 194 -> 23* 24.79/6.76 203 -> 55,24 24.79/6.76 212 -> 23* 24.79/6.76 220 -> 93* 24.79/6.76 226 -> 3,46 24.79/6.76 235 -> 13* 24.79/6.76 244 -> 93* 24.79/6.76 252 -> 3* 24.79/6.76 260 -> 93* 24.79/6.76 268 -> 55* 24.79/6.76 276 -> 13* 24.79/6.76 problem: 24.79/6.76 24.79/6.76 Qed 24.79/6.77 EOF