21.91/6.03 YES 22.09/6.04 22.09/6.04 Problem: 22.09/6.04 2(2(x1)) -> 5(1(1(0(1(3(2(1(1(2(x1)))))))))) 22.09/6.04 2(2(2(x1))) -> 5(3(0(1(3(4(3(2(0(5(x1)))))))))) 22.09/6.04 2(2(4(x1))) -> 5(1(0(1(3(5(5(0(4(1(x1)))))))))) 22.09/6.04 4(5(2(x1))) -> 0(3(0(1(4(1(3(5(0(5(x1)))))))))) 22.09/6.04 4(5(2(x1))) -> 1(1(0(2(1(0(3(0(1(2(x1)))))))))) 22.09/6.04 4(5(2(x1))) -> 3(0(2(1(0(4(3(1(3(2(x1)))))))))) 22.09/6.04 2(2(2(2(x1)))) -> 4(1(2(0(4(4(4(3(5(5(x1)))))))))) 22.09/6.04 2(2(4(4(x1)))) -> 2(0(0(1(3(2(1(4(2(4(x1)))))))))) 22.09/6.04 2(2(4(5(x1)))) -> 4(3(3(0(4(0(2(5(1(2(x1)))))))))) 22.09/6.04 2(0(2(2(3(x1))))) -> 4(0(1(5(5(0(2(1(2(1(x1)))))))))) 22.09/6.04 2(2(4(5(4(x1))))) -> 5(0(2(4(0(1(3(5(3(4(x1)))))))))) 22.09/6.04 2(4(2(2(2(x1))))) -> 0(4(2(1(1(0(1(1(5(5(x1)))))))))) 22.09/6.04 4(2(2(5(3(x1))))) -> 3(3(4(0(5(5(5(0(0(1(x1)))))))))) 22.09/6.04 4(2(3(2(5(x1))))) -> 1(4(3(0(4(0(3(5(1(2(x1)))))))))) 22.09/6.04 5(2(5(2(4(x1))))) -> 2(5(5(1(1(3(5(0(3(1(x1)))))))))) 22.09/6.04 5(5(4(4(2(x1))))) -> 5(5(0(3(2(0(1(4(1(2(x1)))))))))) 22.09/6.04 1(4(4(2(4(4(x1)))))) -> 4(1(0(1(5(4(3(4(1(4(x1)))))))))) 22.09/6.04 2(2(2(3(4(1(x1)))))) -> 0(3(1(3(5(0(4(2(0(3(x1)))))))))) 22.09/6.04 2(2(2(5(0(0(x1)))))) -> 5(5(1(2(3(3(5(0(4(3(x1)))))))))) 22.09/6.04 3(2(2(4(5(4(x1)))))) -> 3(3(2(0(5(5(3(5(4(1(x1)))))))))) 22.09/6.04 3(5(1(4(5(2(x1)))))) -> 2(1(4(0(4(2(5(1(2(5(x1)))))))))) 22.09/6.04 5(1(0(3(2(2(x1)))))) -> 4(1(0(5(4(3(1(2(0(5(x1)))))))))) 22.09/6.04 5(2(4(1(2(2(x1)))))) -> 3(5(4(0(5(3(3(3(1(1(x1)))))))))) 22.09/6.04 5(3(2(2(4(1(x1)))))) -> 1(2(1(1(5(5(3(3(4(1(x1)))))))))) 22.09/6.04 0(0(5(4(5(3(4(x1))))))) -> 5(5(1(5(5(2(2(0(0(4(x1)))))))))) 22.09/6.04 2(2(5(4(5(4(4(x1))))))) -> 5(5(4(0(1(4(5(0(4(0(x1)))))))))) 22.09/6.04 2(4(2(2(2(1(4(x1))))))) -> 3(4(4(1(3(1(5(3(2(2(x1)))))))))) 22.09/6.04 5(1(0(2(2(2(0(x1))))))) -> 1(5(4(5(4(4(3(2(1(3(x1)))))))))) 22.09/6.04 5(4(0(0(2(2(3(x1))))))) -> 4(3(3(0(3(4(0(0(2(1(x1)))))))))) 22.09/6.04 5(4(5(2(2(2(3(x1))))))) -> 0(1(2(0(0(2(1(2(2(3(x1)))))))))) 22.09/6.04 22.09/6.04 Proof: 22.09/6.04 String Reversal Processor: 22.09/6.04 2(2(x1)) -> 2(1(1(2(3(1(0(1(1(5(x1)))))))))) 22.09/6.04 2(2(2(x1))) -> 5(0(2(3(4(3(1(0(3(5(x1)))))))))) 22.09/6.04 4(2(2(x1))) -> 1(4(0(5(5(3(1(0(1(5(x1)))))))))) 22.09/6.04 2(5(4(x1))) -> 5(0(5(3(1(4(1(0(3(0(x1)))))))))) 22.09/6.04 2(5(4(x1))) -> 2(1(0(3(0(1(2(0(1(1(x1)))))))))) 22.09/6.04 2(5(4(x1))) -> 2(3(1(3(4(0(1(2(0(3(x1)))))))))) 22.09/6.04 2(2(2(2(x1)))) -> 5(5(3(4(4(4(0(2(1(4(x1)))))))))) 22.09/6.04 4(4(2(2(x1)))) -> 4(2(4(1(2(3(1(0(0(2(x1)))))))))) 22.09/6.04 5(4(2(2(x1)))) -> 2(1(5(2(0(4(0(3(3(4(x1)))))))))) 22.09/6.04 3(2(2(0(2(x1))))) -> 1(2(1(2(0(5(5(1(0(4(x1)))))))))) 22.09/6.04 4(5(4(2(2(x1))))) -> 4(3(5(3(1(0(4(2(0(5(x1)))))))))) 22.09/6.04 2(2(2(4(2(x1))))) -> 5(5(1(1(0(1(1(2(4(0(x1)))))))))) 22.09/6.04 3(5(2(2(4(x1))))) -> 1(0(0(5(5(5(0(4(3(3(x1)))))))))) 22.09/6.04 5(2(3(2(4(x1))))) -> 2(1(5(3(0(4(0(3(4(1(x1)))))))))) 22.09/6.04 4(2(5(2(5(x1))))) -> 1(3(0(5(3(1(1(5(5(2(x1)))))))))) 22.09/6.04 2(4(4(5(5(x1))))) -> 2(1(4(1(0(2(3(0(5(5(x1)))))))))) 22.09/6.04 4(4(2(4(4(1(x1)))))) -> 4(1(4(3(4(5(1(0(1(4(x1)))))))))) 22.09/6.04 1(4(3(2(2(2(x1)))))) -> 3(0(2(4(0(5(3(1(3(0(x1)))))))))) 22.09/6.04 0(0(5(2(2(2(x1)))))) -> 3(4(0(5(3(3(2(1(5(5(x1)))))))))) 22.09/6.04 4(5(4(2(2(3(x1)))))) -> 1(4(5(3(5(5(0(2(3(3(x1)))))))))) 22.09/6.04 2(5(4(1(5(3(x1)))))) -> 5(2(1(5(2(4(0(4(1(2(x1)))))))))) 22.09/6.04 2(2(3(0(1(5(x1)))))) -> 5(0(2(1(3(4(5(0(1(4(x1)))))))))) 22.09/6.04 2(2(1(4(2(5(x1)))))) -> 1(1(3(3(3(5(0(4(5(3(x1)))))))))) 22.09/6.04 1(4(2(2(3(5(x1)))))) -> 1(4(3(3(5(5(1(1(2(1(x1)))))))))) 22.09/6.04 4(3(5(4(5(0(0(x1))))))) -> 4(0(0(2(2(5(5(1(5(5(x1)))))))))) 22.09/6.05 4(4(5(4(5(2(2(x1))))))) -> 0(4(0(5(4(1(0(4(5(5(x1)))))))))) 22.09/6.05 4(1(2(2(2(4(2(x1))))))) -> 2(2(3(5(1(3(1(4(4(3(x1)))))))))) 22.09/6.05 0(2(2(2(0(1(5(x1))))))) -> 3(1(2(3(4(4(5(4(5(1(x1)))))))))) 22.09/6.05 3(2(2(0(0(4(5(x1))))))) -> 1(2(0(0(4(3(0(3(3(4(x1)))))))))) 22.09/6.05 3(2(2(2(5(4(5(x1))))))) -> 3(2(2(1(2(0(0(2(1(0(x1)))))))))) 22.09/6.05 Bounds Processor: 22.09/6.05 bound: 1 22.09/6.05 enrichment: match 22.09/6.05 automaton: 22.09/6.05 final states: {256,250,241,232,224,217,208,199,192,183,175,167,159, 22.09/6.05 151,142,133,124,115,106,97,88,79,69,59,49,39,29,21, 22.09/6.05 12,1} 22.09/6.05 transitions: 22.09/6.05 21(304) -> 305* 22.09/6.05 21(274) -> 275* 22.09/6.05 21(271) -> 272* 22.09/6.05 21(318) -> 319* 22.09/6.05 21(315) -> 316* 22.09/6.05 21(307) -> 308* 22.09/6.05 11(272) -> 273* 22.09/6.05 11(267) -> 268* 22.09/6.05 11(299) -> 300* 22.09/6.05 11(269) -> 270* 22.09/6.05 11(316) -> 317* 22.09/6.05 11(311) -> 312* 22.09/6.05 11(306) -> 307* 22.09/6.05 11(266) -> 267* 22.09/6.05 11(313) -> 314* 22.09/6.05 11(273) -> 274* 22.09/6.05 11(310) -> 311* 22.09/6.05 11(305) -> 306* 22.09/6.05 11(300) -> 301* 22.09/6.05 11(317) -> 318* 22.09/6.05 11(302) -> 303* 22.09/6.05 31(314) -> 315* 22.09/6.05 31(303) -> 304* 22.09/6.05 31(270) -> 271* 22.09/6.05 01(301) -> 302* 22.09/6.05 01(268) -> 269* 22.09/6.05 01(312) -> 313* 22.09/6.05 51(309) -> 310* 22.09/6.05 51(298) -> 299* 22.09/6.05 51(265) -> 266* 22.09/6.05 f60() -> 2* 22.09/6.05 20(262) -> 263* 22.09/6.05 20(257) -> 258* 22.09/6.05 20(247) -> 248* 22.09/6.05 20(40) -> 209* 22.09/6.05 20(187) -> 188* 22.09/6.05 20(132) -> 124* 22.09/6.05 20(107) -> 108* 22.09/6.05 20(87) -> 79* 22.09/6.05 20(77) -> 78* 22.09/6.05 20(254) -> 255* 22.09/6.05 20(42) -> 43* 22.09/6.05 20(239) -> 240* 22.09/6.05 20(219) -> 220* 22.09/6.05 20(2) -> 70* 22.09/6.05 20(164) -> 165* 22.09/6.05 20(84) -> 85* 22.09/6.05 20(74) -> 75* 22.09/6.05 20(196) -> 197* 22.09/6.05 20(116) -> 176* 22.09/6.05 20(263) -> 264* 22.09/6.05 20(61) -> 62* 22.09/6.05 20(51) -> 52* 22.09/6.05 20(11) -> 1* 22.09/6.05 20(168) -> 169* 22.09/6.05 20(98) -> 99* 22.09/6.05 20(93) -> 94* 22.09/6.05 20(260) -> 261* 22.09/6.05 20(58) -> 49* 22.09/6.05 20(48) -> 39* 22.09/6.05 20(240) -> 232* 22.09/6.05 20(220) -> 221* 22.09/6.05 20(18) -> 19* 22.09/6.05 20(8) -> 9* 22.09/6.05 20(190) -> 191* 22.09/6.05 20(150) -> 142* 22.09/6.05 20(145) -> 146* 22.09/6.05 20(95) -> 96* 22.09/6.05 10(75) -> 76* 22.09/6.05 10(70) -> 184* 22.09/6.05 10(60) -> 61* 22.09/6.05 10(40) -> 41* 22.09/6.05 10(30) -> 257* 22.09/6.05 10(10) -> 11* 22.09/6.05 10(207) -> 199* 22.09/6.05 10(182) -> 175* 22.09/6.05 10(157) -> 158* 22.09/6.05 10(152) -> 153* 22.09/6.05 10(147) -> 148* 22.09/6.05 10(112) -> 113* 22.09/6.05 10(72) -> 73* 22.09/6.05 10(52) -> 53* 22.09/6.05 10(47) -> 48* 22.09/6.05 10(234) -> 235* 22.09/6.05 10(32) -> 33* 22.09/6.05 10(22) -> 23* 22.09/6.05 10(209) -> 210* 22.09/6.05 10(2) -> 40* 22.09/6.05 10(189) -> 190* 22.09/6.05 10(149) -> 150* 22.09/6.05 10(109) -> 110* 22.09/6.05 10(94) -> 95* 22.09/6.05 10(89) -> 90* 22.09/6.05 10(261) -> 262* 22.09/6.05 10(236) -> 237* 22.09/6.05 10(34) -> 35* 22.09/6.05 10(226) -> 227* 22.09/6.05 10(216) -> 208* 22.09/6.05 10(14) -> 15* 22.09/6.05 10(9) -> 10* 22.09/6.05 10(206) -> 207* 22.09/6.05 10(4) -> 5* 22.09/6.05 10(141) -> 133* 22.09/6.05 10(136) -> 137* 22.09/6.05 10(131) -> 132* 22.09/6.05 10(111) -> 112* 22.09/6.05 10(101) -> 102* 22.09/6.05 10(96) -> 88* 22.09/6.05 10(86) -> 87* 22.09/6.05 10(56) -> 57* 22.09/6.05 10(248) -> 249* 22.09/6.05 10(31) -> 160* 22.09/6.05 10(6) -> 7* 22.09/6.05 10(143) -> 168* 22.09/6.05 10(123) -> 115* 22.09/6.05 10(108) -> 109* 22.09/6.05 10(255) -> 250* 22.09/6.05 10(43) -> 44* 22.09/6.05 10(28) -> 21* 22.09/6.05 10(210) -> 211* 22.09/6.05 10(3) -> 4* 22.09/6.05 10(195) -> 196* 22.09/6.05 10(135) -> 136* 22.09/6.05 30(60) -> 80* 22.09/6.05 30(55) -> 56* 22.09/6.05 30(50) -> 116* 22.09/6.05 30(45) -> 46* 22.09/6.05 30(35) -> 36* 22.09/6.05 30(30) -> 31* 22.09/6.05 30(15) -> 16* 22.09/6.05 30(137) -> 138* 22.09/6.05 30(102) -> 103* 22.09/6.05 30(82) -> 251* 22.09/6.05 30(264) -> 256* 22.09/6.05 30(57) -> 58* 22.09/6.05 30(249) -> 241* 22.09/6.05 30(17) -> 18* 22.09/6.05 30(214) -> 215* 22.09/6.05 30(7) -> 8* 22.09/6.05 30(204) -> 205* 22.09/6.05 30(2) -> 50* 22.09/6.05 30(194) -> 195* 22.09/6.05 30(179) -> 180* 22.09/6.05 30(174) -> 167* 22.09/6.05 30(169) -> 170* 22.09/6.05 30(144) -> 145* 22.09/6.05 30(129) -> 130* 22.09/6.05 30(104) -> 105* 22.09/6.05 30(246) -> 247* 22.09/6.05 30(166) -> 159* 22.09/6.05 30(66) -> 67* 22.09/6.05 30(238) -> 239* 22.09/6.05 30(213) -> 214* 22.09/6.05 30(203) -> 204* 22.09/6.05 30(73) -> 74* 22.09/6.05 30(235) -> 236* 22.09/6.05 30(23) -> 24* 22.09/6.05 30(205) -> 206* 22.09/6.05 30(3) -> 13* 22.09/6.05 30(170) -> 171* 22.09/6.05 30(160) -> 161* 22.09/6.05 30(155) -> 156* 22.09/6.05 30(140) -> 141* 22.09/6.05 30(125) -> 126* 22.09/6.05 30(80) -> 81* 22.09/6.05 00(70) -> 71* 22.09/6.05 00(60) -> 89* 22.09/6.05 00(252) -> 253* 22.09/6.05 00(50) -> 51* 22.09/6.05 00(222) -> 223* 22.09/6.05 00(5) -> 6* 22.09/6.05 00(197) -> 198* 22.09/6.05 00(172) -> 173* 22.09/6.05 00(162) -> 163* 22.09/6.05 00(122) -> 123* 22.09/6.05 00(117) -> 118* 22.09/6.05 00(92) -> 93* 22.09/6.05 00(62) -> 63* 22.09/6.05 00(259) -> 260* 22.09/6.05 00(37) -> 38* 22.09/6.05 00(229) -> 230* 22.09/6.05 00(2) -> 30* 22.09/6.05 00(139) -> 140* 22.09/6.05 00(44) -> 45* 22.09/6.05 00(231) -> 224* 22.09/6.05 00(221) -> 222* 22.09/6.05 00(19) -> 20* 22.09/6.05 00(4) -> 22* 22.09/6.05 00(201) -> 202* 22.09/6.05 00(176) -> 177* 22.09/6.05 00(146) -> 147* 22.09/6.05 00(126) -> 127* 22.09/6.05 00(121) -> 122* 22.09/6.05 00(81) -> 82* 22.09/6.05 00(71) -> 72* 22.09/6.05 00(61) -> 152* 22.09/6.05 00(258) -> 259* 22.09/6.05 00(253) -> 254* 22.09/6.05 00(46) -> 47* 22.09/6.05 00(41) -> 42* 22.09/6.05 00(31) -> 32* 22.09/6.05 00(26) -> 27* 22.09/6.05 00(143) -> 144* 22.09/6.05 00(128) -> 129* 22.09/6.05 00(83) -> 84* 22.09/6.05 00(53) -> 54* 22.09/6.05 00(225) -> 226* 22.09/6.05 00(13) -> 14* 22.09/6.05 00(3) -> 98* 22.09/6.05 00(185) -> 186* 22.09/6.05 00(165) -> 166* 22.09/6.05 00(110) -> 111* 22.09/6.05 00(100) -> 101* 22.09/6.05 50(70) -> 134* 22.09/6.05 50(50) -> 200* 22.09/6.05 50(40) -> 242* 22.09/6.05 50(237) -> 238* 22.09/6.05 50(25) -> 26* 22.09/6.05 50(20) -> 12* 22.09/6.05 50(212) -> 213* 22.09/6.05 50(202) -> 203* 22.09/6.05 50(177) -> 178* 22.09/6.05 50(152) -> 193* 22.09/6.05 50(67) -> 68* 22.09/6.05 50(2) -> 3* 22.09/6.05 50(134) -> 135* 22.09/6.05 50(119) -> 120* 22.09/6.05 50(114) -> 106* 22.09/6.05 50(24) -> 25* 22.09/6.05 50(211) -> 212* 22.09/6.05 50(191) -> 183* 22.09/6.05 50(171) -> 172* 22.09/6.05 50(161) -> 162* 22.09/6.05 50(91) -> 92* 22.09/6.05 50(243) -> 244* 22.09/6.05 50(36) -> 37* 22.09/6.05 50(228) -> 229* 22.09/6.05 50(218) -> 219* 22.09/6.05 50(198) -> 192* 22.09/6.05 50(188) -> 189* 22.09/6.05 50(178) -> 179* 22.09/6.05 50(168) -> 218* 22.09/6.05 50(153) -> 154* 22.09/6.05 50(138) -> 139* 22.09/6.05 50(118) -> 119* 22.09/6.05 50(113) -> 114* 22.09/6.05 50(103) -> 104* 22.09/6.05 50(68) -> 59* 22.09/6.05 50(38) -> 29* 22.09/6.05 50(3) -> 143* 22.09/6.05 50(180) -> 181* 22.09/6.05 50(130) -> 131* 22.09/6.05 50(120) -> 121* 22.09/6.05 50(90) -> 91* 22.09/6.05 50(85) -> 86* 22.09/6.05 40(65) -> 66* 22.09/6.05 40(50) -> 233* 22.09/6.05 40(242) -> 243* 22.09/6.05 40(40) -> 125* 22.09/6.05 40(30) -> 107* 22.09/6.05 40(227) -> 228* 22.09/6.05 40(127) -> 128* 22.09/6.05 40(82) -> 83* 22.09/6.05 40(244) -> 245* 22.09/6.05 40(27) -> 28* 22.09/6.05 40(2) -> 60* 22.09/6.05 40(184) -> 185* 22.09/6.05 40(154) -> 155* 22.09/6.05 40(99) -> 100* 22.09/6.05 40(64) -> 65* 22.09/6.05 40(54) -> 55* 22.09/6.05 40(251) -> 252* 22.09/6.05 40(186) -> 187* 22.09/6.05 40(181) -> 182* 22.09/6.05 40(156) -> 157* 22.09/6.05 40(116) -> 117* 22.09/6.05 40(76) -> 77* 22.09/6.05 40(233) -> 234* 22.09/6.05 40(223) -> 217* 22.09/6.05 40(16) -> 17* 22.09/6.05 40(193) -> 194* 22.09/6.05 40(173) -> 174* 22.09/6.05 40(163) -> 164* 22.09/6.05 40(158) -> 151* 22.09/6.05 40(148) -> 149* 22.09/6.05 40(143) -> 225* 22.09/6.05 40(78) -> 69* 22.09/6.05 40(63) -> 64* 22.09/6.05 40(245) -> 246* 22.09/6.05 40(33) -> 34* 22.09/6.05 40(230) -> 231* 22.09/6.05 40(215) -> 216* 22.09/6.05 40(200) -> 201* 22.09/6.05 40(105) -> 97* 22.09/6.05 1 -> 70* 22.09/6.05 12 -> 70* 22.09/6.05 21 -> 60* 22.09/6.05 29 -> 70* 22.09/6.05 39 -> 70* 22.09/6.05 49 -> 70* 22.09/6.05 59 -> 70* 22.09/6.05 69 -> 60* 22.09/6.05 79 -> 3* 22.09/6.05 88 -> 50* 22.09/6.05 97 -> 60* 22.09/6.05 106 -> 70* 22.09/6.05 115 -> 50,13 22.09/6.05 124 -> 3,134 22.09/6.05 133 -> 60* 22.09/6.05 142 -> 70* 22.09/6.05 151 -> 60* 22.09/6.05 159 -> 40,61 22.09/6.05 167 -> 30* 22.09/6.05 175 -> 60* 22.09/6.05 183 -> 70* 22.09/6.05 192 -> 70* 22.09/6.05 199 -> 70* 22.09/6.05 208 -> 40,61 22.09/6.05 217 -> 60,233 22.09/6.05 219 -> 298* 22.09/6.05 224 -> 60* 22.09/6.05 232 -> 60,125,185 22.09/6.05 239 -> 265* 22.09/6.05 241 -> 30,71 22.09/6.05 250 -> 50* 22.09/6.05 256 -> 50* 22.09/6.05 262 -> 309* 22.09/6.05 275 -> 232* 22.09/6.05 308 -> 221* 22.09/6.05 319 -> 264* 22.09/6.05 problem: 22.09/6.05 22.09/6.05 Qed 22.09/6.06 EOF