20.31/5.67 YES 20.36/5.69 20.36/5.69 Problem: 20.36/5.69 0(0(1(2(1(x1))))) -> 1(0(1(1(0(x1))))) 20.36/5.69 0(3(1(2(4(x1))))) -> 0(5(1(4(x1)))) 20.36/5.69 4(3(0(1(1(x1))))) -> 5(4(5(2(x1)))) 20.36/5.69 4(3(4(2(2(x1))))) -> 0(5(0(2(x1)))) 20.36/5.69 2(1(1(4(0(2(x1)))))) -> 1(1(5(3(5(x1))))) 20.36/5.69 2(2(4(1(3(4(2(x1))))))) -> 2(3(2(4(3(5(x1)))))) 20.36/5.69 4(0(5(4(2(4(0(x1))))))) -> 0(1(2(2(2(2(0(x1))))))) 20.36/5.69 4(2(4(2(5(1(0(1(5(x1))))))))) -> 5(0(3(1(0(2(2(5(x1)))))))) 20.36/5.69 5(2(4(5(0(3(0(2(3(x1))))))))) -> 5(3(2(1(0(1(3(4(0(x1))))))))) 20.36/5.69 1(4(1(3(2(3(3(1(2(1(x1)))))))))) -> 1(5(3(2(4(5(1(3(4(x1))))))))) 20.36/5.69 4(0(4(2(3(4(5(1(1(5(1(x1))))))))))) -> 5(4(3(2(2(3(2(1(2(4(0(x1))))))))))) 20.36/5.69 4(5(2(2(5(4(4(3(4(5(4(x1))))))))))) -> 5(2(3(2(5(0(0(0(5(4(x1)))))))))) 20.36/5.69 4(3(4(4(0(3(0(3(2(3(2(1(x1)))))))))))) -> 5(5(5(5(5(0(2(2(4(4(2(0(x1)))))))))))) 20.36/5.69 5(3(4(4(3(3(5(2(5(2(1(1(4(2(x1)))))))))))))) -> 5(4(0(5(2(5(5(3(1(0(3(3(5(x1))))))))))))) 20.36/5.69 0(5(1(0(3(3(2(5(5(4(0(5(5(5(2(x1))))))))))))))) -> 1(0(1(3(4(5(3(3(3(2(2(3(3(5(2(x1))))))))))))))) 20.36/5.69 4(5(3(2(1(1(5(2(2(3(4(3(2(3(1(x1))))))))))))))) -> 0(1(3(5(0(1(3(4(0(3(5(4(3(1(x1)))))))))))))) 20.36/5.69 5(0(1(0(1(1(5(1(1(5(5(2(1(1(0(x1))))))))))))))) -> 5(1(5(1(1(1(3(0(3(3(3(3(1(0(x1)))))))))))))) 20.36/5.69 5(3(0(4(4(1(1(5(3(4(1(1(2(3(2(x1))))))))))))))) -> 5(4(1(4(0(2(1(2(2(5(3(5(3(4(4(x1))))))))))))))) 20.36/5.69 2(4(1(0(2(3(2(3(5(3(1(2(3(1(1(4(x1)))))))))))))))) -> 20.36/5.69 2(2(2(1(4(5(0(1(0(3(1(3(5(1(2(x1))))))))))))))) 20.36/5.69 0(1(1(3(2(2(0(0(0(5(0(2(4(3(3(0(1(x1))))))))))))))))) -> 20.36/5.69 5(4(1(1(0(5(2(0(2(3(3(3(0(5(0(1(x1)))))))))))))))) 20.36/5.69 2(1(1(5(3(1(3(4(3(5(3(3(2(4(3(1(4(x1))))))))))))))))) -> 20.36/5.69 1(0(1(0(0(2(1(3(2(2(0(3(0(5(2(4(x1)))))))))))))))) 20.36/5.69 2(4(3(5(0(2(5(5(1(5(0(4(4(4(1(4(3(x1))))))))))))))))) -> 20.36/5.69 2(0(5(2(2(0(5(4(1(3(2(4(1(4(1(1(0(x1))))))))))))))))) 20.36/5.69 0(4(5(4(5(0(2(3(1(2(4(5(3(5(0(4(3(3(2(x1))))))))))))))))))) -> 20.36/5.69 1(0(2(4(5(5(2(2(4(2(1(1(4(0(1(2(3(0(2(5(x1)))))))))))))))))))) 20.36/5.69 4(5(1(0(2(0(5(4(5(4(4(2(5(5(2(3(5(4(2(3(x1)))))))))))))))))))) -> 20.36/5.69 0(5(5(2(0(5(2(4(2(5(2(5(2(0(1(5(2(3(3(0(x1)))))))))))))))))))) 20.36/5.69 3(1(2(4(3(4(3(2(0(3(2(3(4(3(4(5(4(3(4(1(1(x1))))))))))))))))))))) -> 20.36/5.69 3(4(0(0(2(4(5(0(0(4(3(5(4(3(0(3(2(2(1(1(x1)))))))))))))))))))) 20.36/5.69 20.36/5.69 Proof: 20.36/5.69 String Reversal Processor: 20.36/5.69 1(2(1(0(0(x1))))) -> 0(1(1(0(1(x1))))) 20.36/5.69 4(2(1(3(0(x1))))) -> 4(1(5(0(x1)))) 20.36/5.69 1(1(0(3(4(x1))))) -> 2(5(4(5(x1)))) 20.36/5.69 2(2(4(3(4(x1))))) -> 2(0(5(0(x1)))) 20.36/5.69 2(0(4(1(1(2(x1)))))) -> 5(3(5(1(1(x1))))) 20.36/5.69 2(4(3(1(4(2(2(x1))))))) -> 5(3(4(2(3(2(x1)))))) 20.36/5.69 0(4(2(4(5(0(4(x1))))))) -> 0(2(2(2(2(1(0(x1))))))) 20.36/5.69 5(1(0(1(5(2(4(2(4(x1))))))))) -> 5(2(2(0(1(3(0(5(x1)))))))) 20.36/5.69 3(2(0(3(0(5(4(2(5(x1))))))))) -> 0(4(3(1(0(1(2(3(5(x1))))))))) 20.36/5.69 1(2(1(3(3(2(3(1(4(1(x1)))))))))) -> 4(3(1(5(4(2(3(5(1(x1))))))))) 20.36/5.69 1(5(1(1(5(4(3(2(4(0(4(x1))))))))))) -> 0(4(2(1(2(3(2(2(3(4(5(x1))))))))))) 20.36/5.69 4(5(4(3(4(4(5(2(2(5(4(x1))))))))))) -> 4(5(0(0(0(5(2(3(2(5(x1)))))))))) 20.36/5.69 1(2(3(2(3(0(3(0(4(4(3(4(x1)))))))))))) -> 0(2(4(4(2(2(0(5(5(5(5(5(x1)))))))))))) 20.36/5.69 2(4(1(1(2(5(2(5(3(3(4(4(3(5(x1)))))))))))))) -> 5(3(3(0(1(3(5(5(2(5(0(4(5(x1))))))))))))) 20.36/5.69 2(5(5(5(0(4(5(5(2(3(3(0(1(5(0(x1))))))))))))))) -> 20.36/5.69 2(5(3(3(2(2(3(3(3(5(4(3(1(0(1(x1))))))))))))))) 20.36/5.69 1(3(2(3(4(3(2(2(5(1(1(2(3(5(4(x1))))))))))))))) -> 1(3(4(5(3(0(4(3(1(0(5(3(1(0(x1)))))))))))))) 20.36/5.69 0(1(1(2(5(5(1(1(5(1(1(0(1(0(5(x1))))))))))))))) -> 0(1(3(3(3(3(0(3(1(1(1(5(1(5(x1)))))))))))))) 20.36/5.69 2(3(2(1(1(4(3(5(1(1(4(4(0(3(5(x1))))))))))))))) -> 20.36/5.69 4(4(3(5(3(5(2(2(1(2(0(4(1(4(5(x1))))))))))))))) 20.36/5.69 4(1(1(3(2(1(3(5(3(2(3(2(0(1(4(2(x1)))))))))))))))) -> 20.36/5.69 2(1(5(3(1(3(0(1(0(5(4(1(2(2(2(x1))))))))))))))) 20.36/5.69 1(0(3(3(4(2(0(5(0(0(0(2(2(3(1(1(0(x1))))))))))))))))) -> 20.36/5.69 1(0(5(0(3(3(3(2(0(2(5(0(1(1(4(5(x1)))))))))))))))) 20.36/5.69 4(1(3(4(2(3(3(5(3(4(3(1(3(5(1(1(2(x1))))))))))))))))) -> 20.36/5.69 4(2(5(0(3(0(2(2(3(1(2(0(0(1(0(1(x1)))))))))))))))) 20.36/5.69 3(4(1(4(4(4(0(5(1(5(5(2(0(5(3(4(2(x1))))))))))))))))) -> 20.36/5.69 0(1(1(4(1(4(2(3(1(4(5(0(2(2(5(0(2(x1))))))))))))))))) 20.36/5.69 2(3(3(4(0(5(3(5(4(2(1(3(2(0(5(4(5(4(0(x1))))))))))))))))))) -> 20.36/5.69 5(2(0(3(2(1(0(4(1(1(2(4(2(2(5(5(4(2(0(1(x1)))))))))))))))))))) 20.36/5.69 3(2(4(5(3(2(5(5(2(4(4(5(4(5(0(2(0(1(5(4(x1)))))))))))))))))))) -> 20.36/5.69 0(3(3(2(5(1(0(2(5(2(5(2(4(2(5(0(2(5(5(0(x1)))))))))))))))))))) 20.36/5.69 1(1(4(3(4(5(4(3(4(3(2(3(0(2(3(4(3(4(2(1(3(x1))))))))))))))))))))) -> 20.36/5.69 1(1(2(2(3(0(3(4(5(3(4(0(0(5(4(2(0(0(4(3(x1)))))))))))))))))))) 20.36/5.69 Bounds Processor: 20.36/5.69 bound: 0 20.36/5.69 enrichment: match 20.36/5.69 automaton: 20.36/5.69 final states: {238,220,202,186,173,160,146,133,120,108,96,85,74,65, 20.36/5.69 56,48,40,33,27,21,17,15,11,7,1} 20.36/5.69 transitions: 20.36/5.69 f60() -> 2* 20.36/5.69 00(70) -> 71* 20.36/5.69 00(252) -> 253* 20.36/5.69 00(237) -> 220* 20.36/5.69 00(222) -> 223* 20.36/5.69 00(217) -> 218* 20.36/5.69 00(5) -> 174* 20.36/5.69 00(182) -> 183* 20.36/5.69 00(132) -> 120* 20.36/5.69 00(92) -> 93* 20.36/5.69 00(47) -> 40* 20.36/5.69 00(32) -> 27* 20.36/5.69 00(22) -> 187* 20.36/5.69 00(12) -> 34* 20.36/5.69 00(2) -> 8* 20.36/5.69 00(174) -> 175* 20.36/5.69 00(169) -> 170* 20.36/5.69 00(164) -> 165* 20.36/5.69 00(114) -> 115* 20.36/5.69 00(84) -> 74* 20.36/5.69 00(69) -> 70* 20.36/5.69 00(64) -> 56* 20.36/5.69 00(246) -> 247* 20.36/5.69 00(241) -> 242* 20.36/5.69 00(231) -> 232* 20.36/5.69 00(9) -> 16* 20.36/5.69 00(201) -> 186* 20.36/5.69 00(171) -> 172* 20.36/5.69 00(161) -> 162* 20.36/5.69 00(151) -> 152* 20.36/5.69 00(126) -> 127* 20.36/5.69 00(71) -> 72* 20.36/5.69 00(36) -> 37* 20.36/5.69 00(213) -> 214* 20.36/5.69 00(6) -> 1* 20.36/5.69 00(153) -> 154* 20.36/5.69 00(78) -> 79* 20.36/5.69 00(245) -> 246* 20.36/5.69 00(43) -> 44* 20.36/5.69 00(240) -> 241* 20.36/5.69 00(13) -> 86* 20.36/5.69 00(3) -> 4* 20.36/5.69 00(190) -> 191* 20.36/5.69 00(180) -> 181* 20.36/5.69 00(135) -> 136* 20.36/5.69 00(110) -> 111* 20.36/5.69 10(257) -> 238* 20.36/5.69 10(35) -> 36* 20.36/5.69 10(232) -> 233* 20.36/5.69 10(5) -> 6* 20.36/5.69 10(197) -> 198* 20.36/5.69 10(172) -> 160* 20.36/5.69 10(152) -> 153* 20.36/5.69 10(137) -> 138* 20.36/5.69 10(122) -> 123* 20.36/5.69 10(42) -> 43* 20.36/5.69 10(214) -> 215* 20.36/5.69 10(12) -> 121* 20.36/5.69 10(2) -> 3* 20.36/5.69 10(199) -> 200* 20.36/5.69 10(134) -> 161* 20.36/5.69 10(124) -> 125* 20.36/5.69 10(119) -> 108* 20.36/5.69 10(256) -> 257* 20.36/5.69 10(44) -> 45* 20.36/5.69 10(211) -> 212* 20.36/5.69 10(9) -> 10* 20.36/5.69 10(4) -> 5* 20.36/5.69 10(176) -> 177* 20.36/5.69 10(131) -> 132* 20.36/5.69 10(111) -> 112* 20.36/5.69 10(91) -> 92* 20.36/5.69 10(61) -> 62* 20.36/5.69 10(193) -> 194* 20.36/5.69 10(158) -> 159* 20.36/5.69 10(148) -> 149* 20.36/5.69 10(123) -> 124* 20.36/5.69 10(53) -> 54* 20.36/5.69 10(13) -> 134* 20.36/5.69 10(210) -> 211* 20.36/5.69 10(8) -> 28* 20.36/5.69 10(3) -> 18* 20.36/5.69 10(200) -> 201* 20.36/5.69 10(155) -> 156* 20.36/5.69 40(55) -> 48* 20.36/5.69 40(247) -> 248* 20.36/5.69 40(212) -> 213* 20.36/5.69 40(10) -> 7* 20.36/5.69 40(192) -> 193* 20.36/5.69 40(117) -> 118* 20.36/5.69 40(97) -> 98* 20.36/5.69 40(82) -> 83* 20.36/5.69 40(239) -> 240* 20.36/5.69 40(12) -> 13* 20.36/5.69 40(149) -> 150* 20.36/5.69 40(144) -> 145* 20.36/5.69 40(134) -> 135* 20.36/5.69 40(24) -> 25* 20.36/5.69 40(196) -> 197* 20.36/5.69 40(81) -> 82* 20.36/5.69 40(51) -> 52* 20.36/5.69 40(46) -> 47* 20.36/5.69 40(243) -> 244* 20.36/5.69 40(208) -> 209* 20.36/5.69 40(203) -> 204* 20.36/5.69 40(198) -> 199* 20.36/5.69 40(113) -> 114* 20.36/5.69 40(73) -> 65* 20.36/5.69 40(63) -> 64* 20.36/5.69 40(250) -> 251* 20.36/5.69 40(225) -> 226* 20.36/5.69 40(185) -> 173* 20.36/5.69 40(145) -> 133* 20.36/5.69 50(75) -> 76* 20.36/5.69 50(227) -> 228* 20.36/5.69 50(20) -> 17* 20.36/5.69 50(187) -> 188* 20.36/5.69 50(162) -> 163* 20.36/5.69 50(157) -> 158* 20.36/5.69 50(142) -> 143* 20.36/5.69 50(77) -> 78* 20.36/5.69 50(72) -> 73* 20.36/5.69 50(52) -> 53* 20.36/5.69 50(249) -> 250* 20.36/5.69 50(244) -> 245* 20.36/5.69 50(229) -> 230* 20.36/5.69 50(219) -> 202* 20.36/5.69 50(12) -> 75* 20.36/5.69 50(204) -> 205* 20.36/5.69 50(2) -> 12* 20.36/5.69 50(109) -> 110* 20.36/5.69 50(89) -> 90* 20.36/5.69 50(39) -> 33* 20.36/5.69 50(9) -> 221* 20.36/5.69 50(191) -> 192* 20.36/5.69 50(121) -> 122* 20.36/5.69 50(116) -> 117* 20.36/5.69 50(106) -> 107* 20.36/5.69 50(86) -> 87* 20.36/5.69 50(76) -> 77* 20.36/5.69 50(233) -> 234* 20.36/5.69 50(26) -> 21* 20.36/5.69 50(223) -> 224* 20.36/5.69 50(183) -> 184* 20.36/5.69 50(98) -> 99* 20.36/5.69 50(88) -> 89* 20.36/5.69 50(68) -> 69* 20.36/5.69 50(18) -> 19* 20.36/5.69 50(13) -> 14* 20.36/5.69 50(8) -> 9* 20.36/5.69 50(205) -> 206* 20.36/5.69 50(3) -> 49* 20.36/5.69 50(170) -> 171* 20.36/5.69 50(150) -> 151* 20.36/5.69 50(140) -> 141* 20.36/5.69 50(95) -> 85* 20.36/5.69 20(80) -> 81* 20.36/5.69 20(60) -> 61* 20.36/5.69 20(50) -> 51* 20.36/5.69 20(242) -> 243* 20.36/5.69 20(30) -> 31* 20.36/5.69 20(207) -> 208* 20.36/5.69 20(147) -> 148* 20.36/5.69 20(107) -> 96* 20.36/5.69 20(102) -> 103* 20.36/5.69 20(87) -> 88* 20.36/5.69 20(67) -> 68* 20.36/5.69 20(62) -> 63* 20.36/5.69 20(57) -> 58* 20.36/5.69 20(254) -> 255* 20.36/5.69 20(37) -> 38* 20.36/5.69 20(234) -> 235* 20.36/5.69 20(224) -> 225* 20.36/5.69 20(22) -> 147* 20.36/5.69 20(12) -> 66* 20.36/5.69 20(209) -> 210* 20.36/5.69 20(2) -> 22* 20.36/5.69 20(189) -> 190* 20.36/5.69 20(184) -> 185* 20.36/5.69 20(179) -> 180* 20.36/5.69 20(159) -> 146* 20.36/5.69 20(139) -> 140* 20.36/5.69 20(79) -> 80* 20.36/5.69 20(29) -> 30* 20.36/5.69 20(226) -> 227* 20.36/5.69 20(221) -> 222* 20.36/5.69 20(14) -> 11* 20.36/5.69 20(206) -> 207* 20.36/5.69 20(4) -> 203* 20.36/5.69 20(136) -> 137* 20.36/5.69 20(41) -> 42* 20.36/5.69 20(31) -> 32* 20.36/5.69 20(228) -> 229* 20.36/5.69 20(218) -> 219* 20.36/5.69 20(16) -> 15* 20.36/5.69 20(188) -> 189* 20.36/5.69 20(178) -> 179* 20.36/5.69 20(163) -> 164* 20.36/5.69 20(138) -> 139* 20.36/5.69 20(103) -> 104* 20.36/5.69 20(83) -> 84* 20.36/5.69 20(58) -> 59* 20.36/5.69 20(255) -> 256* 20.36/5.69 20(38) -> 39* 20.36/5.69 20(230) -> 231* 20.36/5.69 20(28) -> 29* 20.36/5.69 20(23) -> 24* 20.36/5.69 20(215) -> 216* 20.36/5.69 20(195) -> 196* 20.36/5.69 20(175) -> 176* 20.36/5.69 20(165) -> 166* 20.36/5.69 30(45) -> 46* 20.36/5.69 30(25) -> 26* 20.36/5.69 30(5) -> 97* 20.36/5.69 30(177) -> 178* 20.36/5.69 30(167) -> 168* 20.36/5.69 30(127) -> 128* 20.36/5.69 30(112) -> 113* 20.36/5.69 30(22) -> 23* 20.36/5.69 30(12) -> 41* 20.36/5.69 30(2) -> 239* 20.36/5.69 30(194) -> 195* 20.36/5.69 30(154) -> 155* 20.36/5.69 30(129) -> 130* 20.36/5.69 30(104) -> 105* 20.36/5.69 30(99) -> 100* 20.36/5.69 30(94) -> 95* 20.36/5.69 30(59) -> 60* 20.36/5.69 30(54) -> 55* 20.36/5.69 30(251) -> 252* 20.36/5.69 30(49) -> 50* 20.36/5.69 30(236) -> 237* 20.36/5.69 30(34) -> 35* 20.36/5.69 30(19) -> 20* 20.36/5.69 30(216) -> 217* 20.36/5.69 30(181) -> 182* 20.36/5.69 30(166) -> 167* 20.36/5.69 30(156) -> 157* 20.36/5.69 30(141) -> 142* 20.36/5.69 30(101) -> 102* 20.36/5.69 30(66) -> 67* 20.36/5.69 30(253) -> 254* 20.36/5.69 30(248) -> 249* 20.36/5.69 30(168) -> 169* 20.36/5.69 30(143) -> 144* 20.36/5.69 30(128) -> 129* 20.36/5.69 30(118) -> 119* 20.36/5.69 30(93) -> 94* 20.36/5.69 30(235) -> 236* 20.36/5.69 30(28) -> 109* 20.36/5.69 30(13) -> 57* 20.36/5.69 30(130) -> 131* 20.36/5.69 30(125) -> 126* 20.36/5.69 30(115) -> 116* 20.36/5.69 30(105) -> 106* 20.36/5.69 30(100) -> 101* 20.36/5.69 30(90) -> 91* 20.36/5.69 1 -> 3* 20.36/5.69 11 -> 3,18 20.36/5.69 15 -> 22,147 20.36/5.69 17 -> 22* 20.36/5.69 21 -> 22* 20.36/5.69 27 -> 8* 20.36/5.69 33 -> 12,49 20.36/5.69 40 -> 239,23 20.36/5.69 48 -> 3* 20.36/5.69 56 -> 3,121 20.36/5.69 65 -> 13* 20.36/5.69 74 -> 3* 20.36/5.69 85 -> 22* 20.36/5.69 96 -> 22,66 20.36/5.69 108 -> 3* 20.36/5.69 120 -> 8,4 20.36/5.69 133 -> 22,24 20.36/5.69 160 -> 3,28 20.36/5.69 186 -> 239* 20.36/5.69 202 -> 22* 20.36/5.69 220 -> 239,23 20.36/5.69 238 -> 3,18 20.36/5.69 problem: 20.36/5.69 20.36/5.69 Qed 20.36/5.70 EOF