23.97/6.62 YES 23.97/6.64 23.97/6.64 Problem: 23.97/6.64 0(1(2(3(1(x1))))) -> 0(0(1(1(x1)))) 23.97/6.64 4(5(2(3(5(x1))))) -> 4(4(0(5(x1)))) 23.97/6.64 5(3(2(4(3(2(x1)))))) -> 5(3(0(5(4(x1))))) 23.97/6.64 2(2(5(5(2(2(1(x1))))))) -> 3(2(3(3(1(0(x1)))))) 23.97/6.64 4(5(2(1(1(3(4(x1))))))) -> 1(1(0(5(0(x1))))) 23.97/6.64 0(2(2(3(3(2(5(0(4(x1))))))))) -> 0(2(2(1(3(4(1(4(x1)))))))) 23.97/6.64 2(3(0(4(0(0(5(2(4(x1))))))))) -> 3(2(2(2(3(0(4(0(4(x1))))))))) 23.97/6.64 2(4(3(3(3(5(0(1(3(x1))))))))) -> 0(1(0(0(5(0(5(x1))))))) 23.97/6.64 2(3(5(3(3(4(1(5(1(2(x1)))))))))) -> 2(0(3(5(2(5(1(3(4(2(x1)))))))))) 23.97/6.64 3(0(1(2(4(0(0(3(3(4(x1)))))))))) -> 3(1(5(0(4(2(0(2(5(4(x1)))))))))) 23.97/6.64 1(1(4(0(4(2(1(2(4(5(3(x1))))))))))) -> 1(1(0(1(5(2(2(0(2(4(x1)))))))))) 23.97/6.64 3(1(2(4(0(0(3(3(1(4(5(x1))))))))))) -> 2(3(1(1(4(0(4(2(2(2(5(x1))))))))))) 23.97/6.64 4(3(0(4(1(0(4(1(5(0(3(x1))))))))))) -> 0(4(2(3(0(0(1(5(5(1(x1)))))))))) 23.97/6.64 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))))))))))))))) 23.97/6.64 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)))))))))))))) 23.97/6.64 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)))))))))))))) 23.97/6.64 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)))))))))))))) 23.97/6.64 4(4(2(5(3(3(1(1(3(1(1(0(5(3(1(4(x1)))))))))))))))) -> 23.97/6.64 4(2(4(4(4(2(1(5(5(4(3(3(0(5(1(5(4(x1))))))))))))))))) 23.97/6.64 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)))))))))))))) 23.97/6.64 2(2(0(1(4(3(5(4(2(2(5(1(0(5(0(5(4(5(2(x1))))))))))))))))))) -> 23.97/6.64 3(3(4(2(0(4(5(2(5(2(0(0(4(4(3(5(1(4(5(2(x1)))))))))))))))))))) 23.97/6.64 2(5(3(4(1(3(2(5(3(1(1(2(2(1(0(2(4(3(3(x1))))))))))))))))))) -> 23.97/6.64 0(3(5(2(3(1(1(0(3(4(3(4(0(0(5(2(2(3(x1)))))))))))))))))) 23.97/6.64 5(3(1(5(0(1(4(4(2(4(3(2(5(0(4(1(0(4(4(x1))))))))))))))))))) -> 23.97/6.64 5(2(2(4(1(1(5(2(3(4(2(5(2(0(2(0(2(5(4(x1))))))))))))))))))) 23.97/6.64 2(3(0(3(2(3(1(1(4(2(5(3(4(2(5(2(5(0(2(3(1(x1))))))))))))))))))))) -> 23.97/6.64 3(2(4(3(2(1(3(3(1(0(1(1(3(3(0(3(0(5(1(x1))))))))))))))))))) 23.97/6.64 3(1(2(1(3(1(2(2(4(1(1(3(2(4(4(3(2(0(3(4(5(x1))))))))))))))))))))) -> 23.97/6.64 2(5(5(1(1(2(1(0(1(3(1(0(5(2(4(1(1(5(x1)))))))))))))))))) 23.97/6.64 5(4(3(1(3(4(5(3(0(1(3(4(0(2(2(4(3(3(0(5(3(x1))))))))))))))))))))) -> 23.97/6.64 5(5(1(1(5(2(4(0(0(1(0(1(2(0(5(1(3(5(x1)))))))))))))))))) 23.97/6.64 23.97/6.64 Proof: 23.97/6.64 String Reversal Processor: 23.97/6.64 1(3(2(1(0(x1))))) -> 1(1(0(0(x1)))) 23.97/6.64 5(3(2(5(4(x1))))) -> 5(0(4(4(x1)))) 23.97/6.64 2(3(4(2(3(5(x1)))))) -> 4(5(0(3(5(x1))))) 23.97/6.64 1(2(2(5(5(2(2(x1))))))) -> 0(1(3(3(2(3(x1)))))) 23.97/6.64 4(3(1(1(2(5(4(x1))))))) -> 0(5(0(1(1(x1))))) 23.97/6.64 4(0(5(2(3(3(2(2(0(x1))))))))) -> 4(1(4(3(1(2(2(0(x1)))))))) 23.97/6.64 4(2(5(0(0(4(0(3(2(x1))))))))) -> 4(0(4(0(3(2(2(2(3(x1))))))))) 23.97/6.64 3(1(0(5(3(3(3(4(2(x1))))))))) -> 5(0(5(0(0(1(0(x1))))))) 23.97/6.64 2(1(5(1(4(3(3(5(3(2(x1)))))))))) -> 2(4(3(1(5(2(5(3(0(2(x1)))))))))) 23.97/6.64 4(3(3(0(0(4(2(1(0(3(x1)))))))))) -> 4(5(2(0(2(4(0(5(1(3(x1)))))))))) 23.97/6.64 3(5(4(2(1(2(4(0(4(1(1(x1))))))))))) -> 4(2(0(2(2(5(1(0(1(1(x1)))))))))) 23.97/6.64 5(4(1(3(3(0(0(4(2(1(3(x1))))))))))) -> 5(2(2(2(4(0(4(1(1(3(2(x1))))))))))) 23.97/6.64 3(0(5(1(4(0(1(4(0(3(4(x1))))))))))) -> 1(5(5(1(0(0(3(2(4(0(x1)))))))))) 23.97/6.64 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))))))))))))))) 23.97/6.64 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)))))))))))))) 23.97/6.64 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)))))))))))))) 23.97/6.64 4(3(0(4(2(2(4(2(3(5(0(4(3(2(5(0(x1)))))))))))))))) -> 23.97/6.64 1(2(3(1(0(3(2(2(3(1(5(0(0(0(x1)))))))))))))) 23.97/6.64 4(1(3(5(0(1(1(3(1(1(3(3(5(2(4(4(x1)))))))))))))))) -> 23.97/6.64 4(5(1(5(0(3(3(4(5(5(1(2(4(4(4(2(4(x1))))))))))))))))) 23.97/6.64 3(4(5(0(5(1(4(2(2(4(5(1(1(5(3(5(x1)))))))))))))))) -> 23.97/6.64 1(1(1(5(0(1(2(3(1(2(2(4(0(0(x1)))))))))))))) 23.97/6.64 2(5(4(5(0(5(0(1(5(2(2(4(5(3(4(1(0(2(2(x1))))))))))))))))))) -> 23.97/6.64 2(5(4(1(5(3(4(4(0(0(2(5(2(5(4(0(2(4(3(3(x1)))))))))))))))))))) 23.97/6.64 3(3(4(2(0(1(2(2(1(1(3(5(2(3(1(4(3(5(2(x1))))))))))))))))))) -> 23.97/6.64 3(2(2(5(0(0(4(3(4(3(0(1(1(3(2(5(3(0(x1)))))))))))))))))) 23.97/6.64 4(4(0(1(4(0(5(2(3(4(2(4(4(1(0(5(1(3(5(x1))))))))))))))))))) -> 23.97/6.64 4(5(2(0(2(0(2(5(2(4(3(2(5(1(1(4(2(2(5(x1))))))))))))))))))) 23.97/6.64 1(3(2(0(5(2(5(2(4(3(5(2(4(1(1(3(2(3(0(3(2(x1))))))))))))))))))))) -> 23.97/6.64 1(5(0(3(0(3(3(1(1(0(1(3(3(1(2(3(4(2(3(x1))))))))))))))))))) 23.97/6.64 5(4(3(0(2(3(4(4(2(3(1(1(4(2(2(1(3(1(2(1(3(x1))))))))))))))))))))) -> 23.97/6.65 5(1(1(4(2(5(0(1(3(1(0(1(2(1(1(5(5(2(x1)))))))))))))))))) 23.97/6.65 3(5(0(3(3(4(2(2(0(4(3(1(0(3(5(4(3(1(3(4(5(x1))))))))))))))))))))) -> 23.97/6.65 5(3(1(5(0(2(1(0(1(0(0(4(2(5(1(1(5(5(x1)))))))))))))))))) 23.97/6.65 Bounds Processor: 23.97/6.65 bound: 0 23.97/6.65 enrichment: match 23.97/6.65 automaton: 23.97/6.65 final states: {257,240,223,205,189,170,158,142,130,117,105,91,82, 23.97/6.65 72,65,56,46,40,33,26,21,15,10,6,1} 23.97/6.65 transitions: 23.97/6.65 f60() -> 2* 23.97/6.65 10(267) -> 268* 23.97/6.65 10(247) -> 248* 23.97/6.65 10(242) -> 243* 23.97/6.65 10(232) -> 233* 23.97/6.65 10(5) -> 1* 23.97/6.65 10(192) -> 193* 23.97/6.65 10(167) -> 168* 23.97/6.65 10(147) -> 148* 23.97/6.65 10(132) -> 133* 23.97/6.65 10(127) -> 128* 23.97/6.65 10(87) -> 88* 23.97/6.65 10(259) -> 260* 23.97/6.65 10(254) -> 255* 23.97/6.65 10(52) -> 53* 23.97/6.65 10(249) -> 250* 23.97/6.65 10(47) -> 118* 23.97/6.65 10(239) -> 223* 23.97/6.65 10(229) -> 230* 23.97/6.65 10(22) -> 23* 23.97/6.65 10(209) -> 210* 23.97/6.65 10(2) -> 22* 23.97/6.65 10(169) -> 158* 23.97/6.65 10(164) -> 165* 23.97/6.65 10(129) -> 117* 23.97/6.65 10(74) -> 75* 23.97/6.65 10(271) -> 272* 23.97/6.65 10(231) -> 232* 23.97/6.65 10(226) -> 227* 23.97/6.65 10(24) -> 66* 23.97/6.65 10(19) -> 20* 23.97/6.65 10(4) -> 5* 23.97/6.65 10(161) -> 162* 23.97/6.65 10(141) -> 130* 23.97/6.65 10(121) -> 122* 23.97/6.65 10(258) -> 259* 23.97/6.65 10(243) -> 244* 23.97/6.65 10(31) -> 32* 23.97/6.65 10(16) -> 57* 23.97/6.65 10(208) -> 209* 23.97/6.65 10(193) -> 194* 23.97/6.65 10(168) -> 169* 23.97/6.65 10(138) -> 139* 23.97/6.65 10(103) -> 104* 23.97/6.65 10(73) -> 74* 23.97/6.65 10(265) -> 266* 23.97/6.65 10(255) -> 256* 23.97/6.65 10(245) -> 246* 23.97/6.65 10(28) -> 29* 23.97/6.65 10(3) -> 41* 23.97/6.65 10(185) -> 186* 23.97/6.65 10(155) -> 156* 23.97/6.65 10(95) -> 96* 23.97/6.65 10(90) -> 82* 23.97/6.65 00(237) -> 238* 23.97/6.65 00(25) -> 21* 23.97/6.65 00(20) -> 15* 23.97/6.65 00(217) -> 218* 23.97/6.65 00(137) -> 138* 23.97/6.65 00(97) -> 98* 23.97/6.65 00(92) -> 93* 23.97/6.65 00(269) -> 270* 23.97/6.65 00(264) -> 265* 23.97/6.65 00(47) -> 48* 23.97/6.65 00(42) -> 43* 23.97/6.65 00(219) -> 220* 23.97/6.65 00(12) -> 13* 23.97/6.65 00(2) -> 3* 23.97/6.65 00(199) -> 200* 23.97/6.65 00(194) -> 195* 23.97/6.65 00(179) -> 180* 23.97/6.65 00(124) -> 125* 23.97/6.65 00(69) -> 70* 23.97/6.65 00(266) -> 267* 23.97/6.65 00(246) -> 247* 23.97/6.65 00(44) -> 45* 23.97/6.65 00(4) -> 131* 23.97/6.65 00(126) -> 127* 23.97/6.65 00(86) -> 87* 23.97/6.65 00(76) -> 77* 23.97/6.65 00(263) -> 264* 23.97/6.65 00(61) -> 62* 23.97/6.65 00(41) -> 42* 23.97/6.65 00(36) -> 37* 23.97/6.65 00(173) -> 174* 23.97/6.65 00(153) -> 154* 23.97/6.65 00(113) -> 114* 23.97/6.65 00(83) -> 106* 23.97/6.65 00(58) -> 59* 23.97/6.65 00(250) -> 251* 23.97/6.65 00(38) -> 39* 23.97/6.65 00(235) -> 236* 23.97/6.65 00(230) -> 231* 23.97/6.65 00(23) -> 24* 23.97/6.65 00(8) -> 9* 23.97/6.65 00(3) -> 4* 23.97/6.65 00(200) -> 201* 23.97/6.65 00(180) -> 181* 23.97/6.65 00(165) -> 166* 23.97/6.65 00(110) -> 111* 23.97/6.65 00(85) -> 86* 23.97/6.65 50(45) -> 40* 23.97/6.65 50(187) -> 188* 23.97/6.65 50(177) -> 178* 23.97/6.65 50(92) -> 190* 23.97/6.65 50(57) -> 58* 23.97/6.65 50(47) -> 241* 23.97/6.65 50(2) -> 11* 23.97/6.65 50(184) -> 185* 23.97/6.65 50(154) -> 155* 23.97/6.65 50(149) -> 150* 23.97/6.65 50(109) -> 110* 23.97/6.65 50(89) -> 90* 23.97/6.65 50(256) -> 240* 23.97/6.65 50(251) -> 252* 23.97/6.65 50(49) -> 50* 23.97/6.65 50(241) -> 242* 23.97/6.65 50(24) -> 25* 23.97/6.65 50(221) -> 222* 23.97/6.65 50(9) -> 6* 23.97/6.65 50(201) -> 202* 23.97/6.65 50(166) -> 167* 23.97/6.65 50(156) -> 157* 23.97/6.65 50(131) -> 132* 23.97/6.65 50(81) -> 72* 23.97/6.65 50(273) -> 257* 23.97/6.65 50(66) -> 67* 23.97/6.65 50(51) -> 52* 23.97/6.65 50(238) -> 239* 23.97/6.65 50(11) -> 258* 23.97/6.65 50(148) -> 149* 23.97/6.65 50(118) -> 119* 23.97/6.65 50(93) -> 94* 23.97/6.65 50(88) -> 89* 23.97/6.65 50(270) -> 271* 23.97/6.65 50(63) -> 64* 23.97/6.65 50(260) -> 261* 23.97/6.65 50(43) -> 44* 23.97/6.65 50(215) -> 216* 23.97/6.65 50(13) -> 14* 23.97/6.65 50(210) -> 211* 23.97/6.65 50(175) -> 176* 23.97/6.65 40(75) -> 76* 23.97/6.65 40(262) -> 263* 23.97/6.65 40(30) -> 31* 23.97/6.65 40(222) -> 205* 23.97/6.65 40(207) -> 208* 23.97/6.65 40(182) -> 183* 23.97/6.65 40(157) -> 142* 23.97/6.65 40(112) -> 113* 23.97/6.65 40(107) -> 108* 23.97/6.65 40(77) -> 78* 23.97/6.65 40(37) -> 38* 23.97/6.65 40(32) -> 26* 23.97/6.65 40(17) -> 224* 23.97/6.65 40(7) -> 8* 23.97/6.65 40(2) -> 7* 23.97/6.65 40(174) -> 175* 23.97/6.65 40(144) -> 145* 23.97/6.65 40(104) -> 91* 23.97/6.65 40(99) -> 100* 23.97/6.65 40(64) -> 56* 23.97/6.65 40(59) -> 60* 23.97/6.65 40(54) -> 55* 23.97/6.65 40(39) -> 33* 23.97/6.65 40(14) -> 10* 23.97/6.65 40(4) -> 159* 23.97/6.65 40(196) -> 197* 23.97/6.65 40(186) -> 187* 23.97/6.65 40(181) -> 182* 23.97/6.65 40(171) -> 172* 23.97/6.65 40(106) -> 107* 23.97/6.65 40(71) -> 65* 23.97/6.65 40(253) -> 254* 23.97/6.65 40(213) -> 214* 23.97/6.65 40(198) -> 199* 23.97/6.65 40(143) -> 144* 23.97/6.65 40(108) -> 109* 23.97/6.65 40(3) -> 83* 23.97/6.65 40(150) -> 151* 23.97/6.65 40(145) -> 146* 23.97/6.65 40(125) -> 126* 23.97/6.65 30(272) -> 273* 23.97/6.65 30(35) -> 36* 23.97/6.65 30(227) -> 228* 23.97/6.65 30(212) -> 213* 23.97/6.65 30(197) -> 198* 23.97/6.65 30(162) -> 163* 23.97/6.65 30(152) -> 153* 23.97/6.65 30(102) -> 103* 23.97/6.65 30(47) -> 73* 23.97/6.65 30(234) -> 235* 23.97/6.65 30(224) -> 225* 23.97/6.65 30(17) -> 18* 23.97/6.65 30(204) -> 189* 23.97/6.65 30(2) -> 16* 23.97/6.65 30(139) -> 140* 23.97/6.65 30(119) -> 120* 23.97/6.65 30(114) -> 115* 23.97/6.65 30(94) -> 95* 23.97/6.65 30(84) -> 85* 23.97/6.65 30(236) -> 237* 23.97/6.65 30(29) -> 30* 23.97/6.65 30(191) -> 192* 23.97/6.65 30(151) -> 152* 23.97/6.65 30(136) -> 137* 23.97/6.65 30(101) -> 102* 23.97/6.65 30(96) -> 97* 23.97/6.65 30(248) -> 249* 23.97/6.65 30(233) -> 234* 23.97/6.65 30(228) -> 229* 23.97/6.65 30(16) -> 171* 23.97/6.65 30(11) -> 12* 23.97/6.65 30(183) -> 184* 23.97/6.65 30(133) -> 134* 23.97/6.65 30(128) -> 129* 23.97/6.65 30(98) -> 99* 23.97/6.65 30(53) -> 54* 23.97/6.65 30(48) -> 49* 23.97/6.65 30(18) -> 19* 23.97/6.65 30(3) -> 92* 23.97/6.65 30(195) -> 196* 23.97/6.65 20(80) -> 81* 23.97/6.65 20(70) -> 71* 23.97/6.65 20(60) -> 61* 23.97/6.65 20(55) -> 46* 23.97/6.65 20(252) -> 253* 23.97/6.65 20(50) -> 51* 23.97/6.65 20(202) -> 203* 23.97/6.65 20(172) -> 173* 23.97/6.65 20(122) -> 123* 23.97/6.65 20(67) -> 68* 23.97/6.65 20(62) -> 63* 23.97/6.65 20(244) -> 245* 23.97/6.65 20(27) -> 28* 23.97/6.65 20(17) -> 34* 23.97/6.65 20(214) -> 215* 23.97/6.65 20(7) -> 143* 23.97/6.65 20(2) -> 47* 23.97/6.65 20(159) -> 160* 23.97/6.65 20(134) -> 135* 23.97/6.65 20(79) -> 80* 23.97/6.65 20(261) -> 262* 23.97/6.65 20(34) -> 35* 23.97/6.65 20(216) -> 217* 23.97/6.65 20(211) -> 212* 23.97/6.65 20(206) -> 207* 23.97/6.65 20(176) -> 177* 23.97/6.65 20(146) -> 147* 23.97/6.65 20(116) -> 105* 23.97/6.65 20(111) -> 112* 23.97/6.65 20(268) -> 269* 23.97/6.65 20(218) -> 219* 23.97/6.65 20(16) -> 17* 23.97/6.65 20(11) -> 206* 23.97/6.65 20(203) -> 204* 23.97/6.65 20(188) -> 170* 23.97/6.65 20(178) -> 179* 23.97/6.65 20(163) -> 164* 23.97/6.65 20(123) -> 124* 23.97/6.65 20(83) -> 84* 23.97/6.65 20(78) -> 79* 23.97/6.65 20(68) -> 69* 23.97/6.65 20(225) -> 226* 23.97/6.65 20(220) -> 221* 23.97/6.65 20(3) -> 27* 23.97/6.65 20(190) -> 191* 23.97/6.65 20(160) -> 161* 23.97/6.65 20(140) -> 141* 23.97/6.65 20(135) -> 136* 23.97/6.65 20(120) -> 121* 23.97/6.65 20(115) -> 116* 23.97/6.65 20(100) -> 101* 23.97/6.65 1 -> 22,57,74 23.97/6.65 6 -> 11* 23.97/6.65 10 -> 47,17,226 23.97/6.65 15 -> 22,118 23.97/6.65 21 -> 7* 23.97/6.65 26 -> 7,83 23.97/6.65 33 -> 7* 23.97/6.65 40 -> 16* 23.97/6.65 46 -> 47* 23.97/6.65 56 -> 7,172 23.97/6.65 65 -> 16,12 23.97/6.65 72 -> 11* 23.97/6.65 82 -> 16,92 23.97/6.65 91 -> 47* 23.97/6.65 105 -> 16,171 23.97/6.65 117 -> 16* 23.97/6.65 130 -> 7* 23.97/6.65 142 -> 7* 23.97/6.65 158 -> 16* 23.97/6.65 170 -> 47,206 23.97/6.65 189 -> 16,171 23.97/6.65 205 -> 7,8 23.97/6.65 223 -> 22,57,74 23.97/6.65 240 -> 11* 23.97/6.65 257 -> 16,12 23.97/6.65 problem: 23.97/6.65 23.97/6.65 Qed 23.97/6.66 EOF