22.11/6.15 YES 22.11/6.17 22.11/6.17 Problem: 22.11/6.17 0(1(0(2(x1)))) -> 2(2(2(x1))) 22.11/6.17 0(1(1(1(x1)))) -> 3(1(0(x1))) 22.11/6.17 4(5(1(4(x1)))) -> 1(5(4(4(x1)))) 22.11/6.17 1(2(0(4(1(x1))))) -> 2(5(2(2(x1)))) 22.11/6.17 1(5(1(0(3(x1))))) -> 5(5(0(3(x1)))) 22.11/6.17 1(3(5(1(0(4(x1)))))) -> 4(0(0(0(1(4(x1)))))) 22.11/6.17 3(3(1(4(5(4(5(5(x1)))))))) -> 3(5(3(2(0(5(2(x1))))))) 22.11/6.17 4(2(5(3(1(0(0(5(2(x1))))))))) -> 4(4(1(5(3(5(3(2(x1)))))))) 22.11/6.17 2(2(1(1(0(2(0(1(2(3(x1)))))))))) -> 5(4(4(5(2(5(5(2(3(x1))))))))) 22.11/6.17 2(2(2(3(3(4(3(3(5(4(5(x1))))))))))) -> 5(5(4(2(5(3(5(3(2(0(5(x1))))))))))) 22.11/6.17 4(2(1(1(5(1(0(0(0(2(5(x1))))))))))) -> 5(5(0(3(0(1(4(5(2(5(x1)))))))))) 22.11/6.17 5(4(5(4(2(0(2(2(3(0(0(2(x1)))))))))))) -> 5(3(4(5(0(3(2(1(1(2(2(x1))))))))))) 22.11/6.17 0(2(1(1(3(1(5(0(5(2(3(1(4(x1))))))))))))) -> 3(0(1(5(1(4(4(5(0(5(1(1(4(x1))))))))))))) 22.11/6.17 1(1(2(4(2(2(2(1(1(3(4(1(2(x1))))))))))))) -> 1(5(0(3(4(1(0(5(2(2(2(3(x1)))))))))))) 22.11/6.17 1(4(0(0(2(4(0(3(3(2(0(3(1(x1))))))))))))) -> 1(5(0(5(0(2(0(5(1(0(1(2(5(5(x1)))))))))))))) 22.11/6.17 4(1(4(1(3(0(0(2(1(5(4(1(0(0(x1)))))))))))))) -> 2(3(0(2(5(4(4(3(0(4(1(2(0(x1))))))))))))) 22.11/6.17 4(2(4(4(0(0(0(4(0(3(5(0(3(3(x1)))))))))))))) -> 5(1(0(1(0(1(3(5(3(5(5(0(0(3(x1)))))))))))))) 22.11/6.17 1(2(5(3(3(0(2(2(5(3(2(3(3(3(2(1(x1)))))))))))))))) -> 22.11/6.17 1(1(0(0(4(1(2(1(0(5(0(0(3(5(0(4(1(x1))))))))))))))))) 22.11/6.17 3(1(2(5(0(3(4(3(1(5(4(1(5(2(0(5(x1)))))))))))))))) -> 22.11/6.17 3(1(0(4(2(0(5(2(4(4(2(2(1(1(1(5(x1)))))))))))))))) 22.11/6.17 1(3(4(5(1(0(0(3(1(2(4(2(3(5(2(0(4(1(x1)))))))))))))))))) -> 22.11/6.17 1(3(0(0(4(2(2(5(3(1(0(1(2(1(5(0(1(4(1(x1))))))))))))))))))) 22.11/6.17 1(0(3(3(2(5(0(0(3(0(3(2(4(1(4(0(2(4(2(x1))))))))))))))))))) -> 22.11/6.17 4(3(4(2(1(4(2(4(3(3(2(2(2(1(1(1(5(3(2(x1))))))))))))))))))) 22.11/6.17 5(3(2(1(0(1(3(1(3(3(0(0(3(2(5(3(0(3(0(x1))))))))))))))))))) -> 22.11/6.17 5(1(0(3(2(4(0(0(3(2(1(5(1(3(0(5(1(3(1(x1))))))))))))))))))) 22.11/6.17 0(2(2(3(3(5(0(0(5(0(3(1(3(0(1(2(1(5(5(1(x1)))))))))))))))))))) -> 22.11/6.17 0(0(3(2(5(2(5(2(3(2(1(2(5(4(3(4(5(0(4(x1))))))))))))))))))) 22.11/6.17 1(0(4(2(3(3(5(4(3(5(0(2(0(4(5(0(2(0(2(4(x1)))))))))))))))))))) -> 22.11/6.17 4(5(4(5(4(1(1(2(5(0(4(3(1(5(4(3(1(5(4(0(4(x1))))))))))))))))))))) 22.11/6.17 1(4(2(3(1(3(4(2(4(1(5(1(4(0(4(5(2(0(0(3(4(x1))))))))))))))))))))) -> 22.11/6.17 4(3(4(1(3(5(1(1(4(3(1(5(1(3(1(2(4(2(1(3(x1)))))))))))))))))))) 22.11/6.17 22.11/6.17 Proof: 22.11/6.17 String Reversal Processor: 22.11/6.17 2(0(1(0(x1)))) -> 2(2(2(x1))) 22.11/6.17 1(1(1(0(x1)))) -> 0(1(3(x1))) 22.11/6.17 4(1(5(4(x1)))) -> 4(4(5(1(x1)))) 22.11/6.17 1(4(0(2(1(x1))))) -> 2(2(5(2(x1)))) 22.11/6.17 3(0(1(5(1(x1))))) -> 3(0(5(5(x1)))) 22.11/6.17 4(0(1(5(3(1(x1)))))) -> 4(1(0(0(0(4(x1)))))) 22.11/6.17 5(5(4(5(4(1(3(3(x1)))))))) -> 2(5(0(2(3(5(3(x1))))))) 22.11/6.17 2(5(0(0(1(3(5(2(4(x1))))))))) -> 2(3(5(3(5(1(4(4(x1)))))))) 22.11/6.17 3(2(1(0(2(0(1(1(2(2(x1)))))))))) -> 3(2(5(5(2(5(4(4(5(x1))))))))) 22.11/6.17 5(4(5(3(3(4(3(3(2(2(2(x1))))))))))) -> 5(0(2(3(5(3(5(2(4(5(5(x1))))))))))) 22.11/6.17 5(2(0(0(0(1(5(1(1(2(4(x1))))))))))) -> 5(2(5(4(1(0(3(0(5(5(x1)))))))))) 22.11/6.17 2(0(0(3(2(2(0(2(4(5(4(5(x1)))))))))))) -> 2(2(1(1(2(3(0(5(4(3(5(x1))))))))))) 22.11/6.17 4(1(3(2(5(0(5(1(3(1(1(2(0(x1))))))))))))) -> 4(1(1(5(0(5(4(4(1(5(1(0(3(x1))))))))))))) 22.11/6.17 2(1(4(3(1(1(2(2(2(4(2(1(1(x1))))))))))))) -> 3(2(2(2(5(0(1(4(3(0(5(1(x1)))))))))))) 22.11/6.17 1(3(0(2(3(3(0(4(2(0(0(4(1(x1))))))))))))) -> 5(5(2(1(0(1(5(0(2(0(5(0(5(1(x1)))))))))))))) 22.11/6.17 0(0(1(4(5(1(2(0(0(3(1(4(1(4(x1)))))))))))))) -> 0(2(1(4(0(3(4(4(5(2(0(3(2(x1))))))))))))) 22.11/6.17 3(3(0(5(3(0(4(0(0(0(4(4(2(4(x1)))))))))))))) -> 3(0(0(5(5(3(5(3(1(0(1(0(1(5(x1)))))))))))))) 22.11/6.17 1(2(3(3(3(2(3(5(2(2(0(3(3(5(2(1(x1)))))))))))))))) -> 22.11/6.17 1(4(0(5(3(0(0(5(0(1(2(1(4(0(0(1(1(x1))))))))))))))))) 22.11/6.17 5(0(2(5(1(4(5(1(3(4(3(0(5(2(1(3(x1)))))))))))))))) -> 22.11/6.17 5(1(1(1(2(2(4(4(2(5(0(2(4(0(1(3(x1)))))))))))))))) 22.11/6.17 1(4(0(2(5(3(2(4(2(1(3(0(0(1(5(4(3(1(x1)))))))))))))))))) -> 22.11/6.17 1(4(1(0(5(1(2(1(0(1(3(5(2(2(4(0(0(3(1(x1))))))))))))))))))) 22.11/6.17 2(4(2(0(4(1(4(2(3(0(3(0(0(5(2(3(3(0(1(x1))))))))))))))))))) -> 22.11/6.17 2(3(5(1(1(1(2(2(2(3(3(4(2(4(1(2(4(3(4(x1))))))))))))))))))) 22.11/6.17 0(3(0(3(5(2(3(0(0(3(3(1(3(1(0(1(2(3(5(x1))))))))))))))))))) -> 22.11/6.17 1(3(1(5(0(3(1(5(1(2(3(0(0(4(2(3(0(1(5(x1))))))))))))))))))) 22.11/6.17 1(5(5(1(2(1(0(3(1(3(0(5(0(0(5(3(3(2(2(0(x1)))))))))))))))))))) -> 22.11/6.17 4(0(5(4(3(4(5(2(1(2(3(2(5(2(5(2(3(0(0(x1))))))))))))))))))) 22.11/6.17 4(2(0(2(0(5(4(0(2(0(5(3(4(5(3(3(2(4(0(1(x1)))))))))))))))))))) -> 22.11/6.17 4(0(4(5(1(3(4(5(1(3(4(0(5(2(1(1(4(5(4(5(4(x1))))))))))))))))))))) 22.11/6.17 4(3(0(0(2(5(4(0(4(1(5(1(4(2(4(3(1(3(2(4(1(x1))))))))))))))))))))) -> 22.11/6.17 3(1(2(4(2(1(3(1(5(1(3(4(1(1(5(3(1(4(3(4(x1)))))))))))))))))))) 22.11/6.17 Bounds Processor: 22.11/6.17 bound: 1 22.11/6.17 enrichment: match 22.11/6.17 automaton: 22.11/6.17 final states: {249,229,210,194,176,158,145,129,116,104,93,83,71,61, 22.11/6.17 55,46,38,31,25,19,15,12,8,5,1} 22.11/6.17 transitions: 22.11/6.17 f60() -> 2* 22.11/6.17 20(70) -> 61* 22.11/6.17 20(30) -> 25* 22.11/6.17 20(217) -> 218* 22.11/6.17 20(187) -> 188* 22.11/6.17 20(162) -> 163* 22.11/6.17 20(152) -> 153* 22.11/6.17 20(52) -> 53* 22.11/6.17 20(47) -> 48* 22.11/6.17 20(37) -> 31* 22.11/6.17 20(27) -> 28* 22.11/6.17 20(219) -> 220* 22.11/6.17 20(2) -> 3* 22.11/6.17 20(169) -> 170* 22.11/6.17 20(149) -> 150* 22.11/6.17 20(134) -> 135* 22.11/6.17 20(114) -> 115* 22.11/6.17 20(89) -> 90* 22.11/6.17 20(69) -> 70* 22.11/6.17 20(261) -> 262* 22.11/6.17 20(59) -> 60* 22.11/6.17 20(44) -> 45* 22.11/6.17 20(221) -> 222* 22.11/6.17 20(14) -> 12* 22.11/6.17 20(4) -> 1* 22.11/6.17 20(186) -> 187* 22.11/6.17 20(181) -> 182* 22.11/6.17 20(146) -> 147* 22.11/6.17 20(106) -> 107* 22.11/6.17 20(101) -> 102* 22.11/6.17 20(91) -> 92* 22.11/6.17 20(66) -> 67* 22.11/6.17 20(263) -> 264* 22.11/6.17 20(41) -> 42* 22.11/6.17 20(213) -> 214* 22.11/6.17 20(193) -> 176* 22.11/6.17 20(178) -> 179* 22.11/6.17 20(163) -> 164* 22.11/6.17 20(153) -> 154* 22.11/6.17 20(235) -> 236* 22.11/6.17 20(215) -> 216* 22.11/6.17 20(13) -> 14* 22.11/6.17 20(3) -> 4* 22.11/6.17 20(200) -> 201* 22.11/6.17 20(195) -> 196* 22.11/6.17 20(185) -> 186* 22.11/6.17 20(95) -> 96* 22.11/6.17 20(90) -> 91* 22.11/6.17 00(247) -> 248* 22.11/6.17 00(237) -> 238* 22.11/6.17 00(227) -> 228* 22.11/6.17 00(20) -> 21* 22.11/6.17 00(15) -> 56* 22.11/6.17 00(10) -> 84* 22.11/6.17 00(197) -> 198* 22.11/6.17 00(172) -> 173* 22.11/6.17 00(167) -> 168* 22.11/6.17 00(147) -> 148* 22.11/6.17 00(142) -> 143* 22.11/6.17 00(127) -> 128* 22.11/6.17 00(117) -> 118* 22.11/6.17 00(87) -> 88* 22.11/6.17 00(22) -> 23* 22.11/6.17 00(17) -> 18* 22.11/6.17 00(7) -> 5* 22.11/6.17 00(2) -> 211* 22.11/6.17 00(159) -> 160* 22.11/6.17 00(139) -> 140* 22.11/6.17 00(119) -> 120* 22.11/6.17 00(99) -> 100* 22.11/6.17 00(94) -> 95* 22.11/6.17 00(64) -> 65* 22.11/6.17 00(211) -> 212* 22.11/6.17 00(136) -> 137* 22.11/6.17 00(131) -> 132* 22.11/6.17 00(126) -> 127* 22.11/6.17 00(111) -> 112* 22.11/6.17 00(96) -> 97* 22.11/6.17 00(21) -> 22* 22.11/6.17 00(6) -> 72* 22.11/6.17 00(198) -> 199* 22.11/6.17 00(138) -> 139* 22.11/6.17 00(78) -> 79* 22.11/6.17 00(53) -> 54* 22.11/6.17 00(28) -> 29* 22.11/6.17 00(205) -> 206* 22.11/6.17 00(160) -> 161* 22.11/6.17 00(130) -> 131* 22.11/6.17 00(115) -> 104* 22.11/6.17 00(105) -> 106* 22.11/6.17 10(252) -> 253* 22.11/6.17 10(207) -> 208* 22.11/6.17 10(72) -> 73* 22.11/6.17 10(67) -> 68* 22.11/6.17 10(264) -> 265* 22.11/6.17 10(244) -> 245* 22.11/6.17 10(234) -> 235* 22.11/6.17 10(32) -> 33* 22.11/6.17 10(209) -> 194* 22.11/6.17 10(2) -> 9* 22.11/6.17 10(189) -> 190* 22.11/6.17 10(179) -> 180* 22.11/6.17 10(154) -> 155* 22.11/6.17 10(144) -> 129* 22.11/6.17 10(74) -> 75* 22.11/6.17 10(256) -> 257* 22.11/6.17 10(9) -> 130* 22.11/6.17 10(201) -> 202* 22.11/6.17 10(166) -> 167* 22.11/6.17 10(156) -> 157* 22.11/6.17 10(86) -> 87* 22.11/6.17 10(81) -> 82* 22.11/6.17 10(258) -> 259* 22.11/6.17 10(56) -> 57* 22.11/6.17 10(253) -> 254* 22.11/6.17 10(233) -> 234* 22.11/6.17 10(16) -> 117* 22.11/6.17 10(6) -> 7* 22.11/6.17 10(203) -> 204* 22.11/6.17 10(188) -> 189* 22.11/6.17 10(178) -> 250* 22.11/6.17 10(173) -> 174* 22.11/6.17 10(168) -> 169* 22.11/6.17 10(133) -> 134* 22.11/6.17 10(118) -> 119* 22.11/6.17 10(113) -> 114* 22.11/6.17 10(98) -> 99* 22.11/6.17 10(68) -> 69* 22.11/6.17 10(260) -> 261* 22.11/6.17 10(240) -> 241* 22.11/6.17 10(23) -> 24* 22.11/6.17 10(220) -> 221* 22.11/6.17 10(190) -> 191* 22.11/6.17 10(175) -> 158* 22.11/6.17 10(170) -> 171* 22.11/6.17 10(155) -> 156* 22.11/6.17 10(135) -> 136* 22.11/6.17 10(120) -> 121* 22.11/6.17 10(100) -> 101* 22.11/6.17 10(80) -> 81* 22.11/6.17 30(65) -> 66* 22.11/6.17 30(45) -> 38* 22.11/6.17 30(20) -> 177* 22.11/6.17 30(212) -> 213* 22.11/6.17 30(192) -> 193* 22.11/6.17 30(92) -> 83* 22.11/6.17 30(259) -> 260* 22.11/6.17 30(239) -> 240* 22.11/6.17 30(224) -> 225* 22.11/6.17 30(204) -> 205* 22.11/6.17 30(2) -> 6* 22.11/6.17 30(199) -> 200* 22.11/6.17 30(184) -> 185* 22.11/6.17 30(84) -> 85* 22.11/6.17 30(49) -> 50* 22.11/6.17 30(34) -> 35* 22.11/6.17 30(9) -> 159* 22.11/6.17 30(121) -> 122* 22.11/6.17 30(51) -> 52* 22.11/6.17 30(243) -> 244* 22.11/6.17 30(36) -> 37* 22.11/6.17 30(26) -> 27* 22.11/6.17 30(218) -> 219* 22.11/6.17 30(16) -> 62* 22.11/6.17 30(208) -> 209* 22.11/6.17 30(183) -> 184* 22.11/6.17 30(128) -> 116* 22.11/6.17 30(123) -> 124* 22.11/6.17 30(118) -> 195* 22.11/6.17 30(265) -> 249* 22.11/6.17 30(255) -> 256* 22.11/6.17 30(250) -> 251* 22.11/6.17 30(18) -> 15* 22.11/6.17 30(3) -> 105* 22.11/6.17 30(165) -> 166* 22.11/6.17 30(140) -> 141* 22.11/6.17 30(110) -> 111* 22.11/6.17 40(75) -> 76* 22.11/6.17 40(262) -> 263* 22.11/6.17 40(242) -> 243* 22.11/6.17 40(232) -> 233* 22.11/6.17 40(20) -> 32* 22.11/6.17 40(10) -> 11* 22.11/6.17 40(5) -> 146* 22.11/6.17 40(182) -> 183* 22.11/6.17 40(177) -> 178* 22.11/6.17 40(132) -> 133* 22.11/6.17 40(112) -> 113* 22.11/6.17 40(82) -> 71* 22.11/6.17 40(62) -> 63* 22.11/6.17 40(57) -> 58* 22.11/6.17 40(254) -> 255* 22.11/6.17 40(17) -> 47* 22.11/6.17 40(2) -> 20* 22.11/6.17 40(174) -> 175* 22.11/6.17 40(109) -> 110* 22.11/6.17 40(246) -> 247* 22.11/6.17 40(39) -> 40* 22.11/6.17 40(24) -> 19* 22.11/6.17 40(196) -> 197* 22.11/6.17 40(161) -> 162* 22.11/6.17 40(151) -> 152* 22.11/6.17 40(76) -> 77* 22.11/6.17 40(248) -> 229* 22.11/6.17 40(238) -> 239* 22.11/6.17 40(228) -> 210* 22.11/6.17 40(223) -> 224* 22.11/6.17 40(16) -> 39* 22.11/6.17 40(11) -> 8* 22.11/6.17 40(143) -> 144* 22.11/6.17 40(108) -> 109* 22.11/6.17 40(230) -> 231* 22.11/6.17 40(225) -> 226* 22.11/6.17 40(180) -> 181* 22.11/6.17 40(150) -> 151* 22.11/6.17 40(85) -> 86* 22.11/6.17 50(60) -> 55* 22.11/6.17 50(257) -> 258* 22.11/6.17 50(50) -> 51* 22.11/6.17 50(40) -> 41* 22.11/6.17 50(35) -> 36* 22.11/6.17 50(222) -> 223* 22.11/6.17 50(20) -> 230* 22.11/6.17 50(202) -> 203* 22.11/6.17 50(157) -> 145* 22.11/6.17 50(137) -> 138* 22.11/6.17 50(122) -> 123* 22.11/6.17 50(107) -> 108* 22.11/6.17 50(102) -> 103* 22.11/6.17 50(97) -> 98* 22.11/6.17 50(77) -> 78* 22.11/6.17 50(42) -> 43* 22.11/6.17 50(214) -> 215* 22.11/6.17 50(2) -> 16* 22.11/6.17 50(164) -> 165* 22.11/6.17 50(124) -> 125* 22.11/6.17 50(84) -> 94* 22.11/6.17 50(79) -> 80* 22.11/6.17 50(54) -> 46* 22.11/6.17 50(251) -> 252* 22.11/6.17 50(241) -> 242* 22.11/6.17 50(236) -> 237* 22.11/6.17 50(231) -> 232* 22.11/6.17 50(29) -> 30* 22.11/6.17 50(226) -> 227* 22.11/6.17 50(216) -> 217* 22.11/6.17 50(9) -> 10* 22.11/6.17 50(206) -> 207* 22.11/6.17 50(191) -> 192* 22.11/6.17 50(171) -> 172* 22.11/6.17 50(141) -> 142* 22.11/6.17 50(16) -> 17* 22.11/6.17 50(6) -> 26* 22.11/6.17 50(148) -> 149* 22.11/6.17 50(103) -> 93* 22.11/6.17 50(88) -> 89* 22.11/6.17 50(73) -> 74* 22.11/6.17 50(63) -> 64* 22.11/6.17 50(58) -> 59* 22.11/6.17 50(48) -> 49* 22.11/6.17 50(245) -> 246* 22.11/6.17 50(43) -> 44* 22.11/6.17 50(33) -> 34* 22.11/6.17 50(3) -> 13* 22.11/6.17 50(125) -> 126* 22.11/6.17 31(269) -> 270* 22.11/6.17 01(268) -> 269* 22.11/6.17 51(267) -> 268* 22.11/6.17 51(266) -> 267* 22.11/6.17 1 -> 3* 22.11/6.17 5 -> 9,130 22.11/6.17 8 -> 20* 22.11/6.17 12 -> 9* 22.11/6.17 15 -> 6,195 22.11/6.17 19 -> 20* 22.11/6.17 25 -> 16,17 22.11/6.17 31 -> 3* 22.11/6.17 38 -> 6,105 22.11/6.17 46 -> 16,230 22.11/6.17 55 -> 16,13 22.11/6.17 61 -> 3* 22.11/6.17 71 -> 20* 22.11/6.17 83 -> 3* 22.11/6.17 93 -> 9,7 22.11/6.17 104 -> 211,212 22.11/6.17 116 -> 6* 22.11/6.17 129 -> 9* 22.11/6.17 145 -> 16* 22.11/6.17 156 -> 266* 22.11/6.17 158 -> 9* 22.11/6.17 176 -> 3* 22.11/6.17 194 -> 211,72 22.11/6.17 210 -> 9,117 22.11/6.17 229 -> 20* 22.11/6.17 249 -> 20* 22.11/6.17 270 -> 195* 22.11/6.17 problem: 22.11/6.17 22.11/6.17 Qed 22.11/6.18 EOF