24.86/6.81 YES 25.06/6.82 25.06/6.82 Problem: 25.06/6.82 0(1(1(x1))) -> 0(1(2(3(4(1(x1)))))) 25.06/6.82 0(1(1(x1))) -> 1(3(1(3(4(0(x1)))))) 25.06/6.82 0(1(1(x1))) -> 5(1(3(0(3(1(x1)))))) 25.06/6.82 0(1(4(x1))) -> 0(1(3(4(x1)))) 25.06/6.82 0(1(4(x1))) -> 1(3(4(2(0(x1))))) 25.06/6.82 0(1(4(x1))) -> 1(5(3(4(0(x1))))) 25.06/6.82 0(1(4(x1))) -> 3(1(3(4(0(x1))))) 25.06/6.82 0(1(4(x1))) -> 1(1(5(3(4(0(x1)))))) 25.06/6.82 0(1(4(x1))) -> 1(2(3(4(3(0(x1)))))) 25.06/6.82 0(1(4(x1))) -> 1(3(3(4(4(0(x1)))))) 25.06/6.82 0(1(4(x1))) -> 1(3(4(5(0(5(x1)))))) 25.06/6.82 0(1(4(x1))) -> 3(4(5(5(0(1(x1)))))) 25.06/6.82 1(2(4(x1))) -> 1(2(3(4(1(x1))))) 25.06/6.82 1(2(4(x1))) -> 5(3(4(1(2(x1))))) 25.06/6.82 1(2(4(x1))) -> 1(5(2(3(4(3(x1)))))) 25.06/6.82 1(2(4(x1))) -> 2(3(3(4(5(1(x1)))))) 25.06/6.82 5(2(1(x1))) -> 1(2(2(3(5(4(x1)))))) 25.06/6.82 5(2(1(x1))) -> 1(3(2(5(3(4(x1)))))) 25.06/6.82 5(2(4(x1))) -> 0(5(2(3(4(x1))))) 25.06/6.82 5(2(4(x1))) -> 5(5(3(4(2(x1))))) 25.06/6.82 5(2(4(x1))) -> 0(3(4(4(5(2(x1)))))) 25.06/6.82 5(2(4(x1))) -> 2(2(5(3(4(4(x1)))))) 25.06/6.82 5(2(4(x1))) -> 2(3(3(4(5(5(x1)))))) 25.06/6.82 5(2(4(x1))) -> 2(3(4(3(5(3(x1)))))) 25.06/6.82 5(2(4(x1))) -> 2(5(3(4(0(5(x1)))))) 25.06/6.82 5(2(4(x1))) -> 3(1(2(5(3(4(x1)))))) 25.06/6.82 5(2(4(x1))) -> 5(2(3(4(0(3(x1)))))) 25.06/6.82 0(0(2(4(x1)))) -> 0(4(3(0(2(x1))))) 25.06/6.82 0(1(1(5(x1)))) -> 0(1(3(5(1(2(x1)))))) 25.06/6.82 0(1(2(4(x1)))) -> 0(1(2(3(3(4(x1)))))) 25.06/6.82 0(1(4(5(x1)))) -> 3(4(0(5(1(x1))))) 25.06/6.82 0(1(4(5(x1)))) -> 3(4(5(3(0(1(x1)))))) 25.06/6.82 0(4(2(1(x1)))) -> 0(4(1(2(3(4(x1)))))) 25.06/6.82 0(5(1(4(x1)))) -> 0(0(3(5(4(1(x1)))))) 25.06/6.82 1(0(1(4(x1)))) -> 3(4(0(1(2(1(x1)))))) 25.06/6.82 1(1(2(4(x1)))) -> 1(3(4(1(2(x1))))) 25.06/6.82 1(2(2(4(x1)))) -> 2(2(2(3(4(1(x1)))))) 25.06/6.82 1(2(4(2(x1)))) -> 1(2(3(4(2(3(x1)))))) 25.06/6.82 1(5(2(1(x1)))) -> 1(0(3(5(1(2(x1)))))) 25.06/6.82 1(5(2(4(x1)))) -> 3(2(3(5(1(4(x1)))))) 25.06/6.82 1(5(2(4(x1)))) -> 5(2(3(3(1(4(x1)))))) 25.06/6.82 5(0(1(4(x1)))) -> 3(4(0(5(3(1(x1)))))) 25.06/6.82 5(2(5(1(x1)))) -> 3(5(1(5(2(x1))))) 25.06/6.82 0(1(1(5(4(x1))))) -> 0(0(5(4(1(1(x1)))))) 25.06/6.82 1(0(0(2(4(x1))))) -> 0(2(0(4(4(1(x1)))))) 25.06/6.82 1(0(4(2(1(x1))))) -> 1(2(3(4(1(0(x1)))))) 25.06/6.82 1(2(5(0(1(x1))))) -> 2(3(5(1(0(1(x1)))))) 25.06/6.82 1(5(3(0(4(x1))))) -> 5(1(3(4(0(4(x1)))))) 25.06/6.82 5(0(5(2(4(x1))))) -> 4(0(0(5(5(2(x1)))))) 25.06/6.82 5(3(2(4(2(x1))))) -> 2(1(5(3(4(2(x1)))))) 25.06/6.82 25.06/6.82 Proof: 25.06/6.82 String Reversal Processor: 25.06/6.82 1(1(0(x1))) -> 1(4(3(2(1(0(x1)))))) 25.06/6.82 1(1(0(x1))) -> 0(4(3(1(3(1(x1)))))) 25.06/6.82 1(1(0(x1))) -> 1(3(0(3(1(5(x1)))))) 25.06/6.82 4(1(0(x1))) -> 4(3(1(0(x1)))) 25.06/6.82 4(1(0(x1))) -> 0(2(4(3(1(x1))))) 25.06/6.82 4(1(0(x1))) -> 0(4(3(5(1(x1))))) 25.06/6.82 4(1(0(x1))) -> 0(4(3(1(3(x1))))) 25.06/6.82 4(1(0(x1))) -> 0(4(3(5(1(1(x1)))))) 25.06/6.82 4(1(0(x1))) -> 0(3(4(3(2(1(x1)))))) 25.06/6.82 4(1(0(x1))) -> 0(4(4(3(3(1(x1)))))) 25.06/6.82 4(1(0(x1))) -> 5(0(5(4(3(1(x1)))))) 25.06/6.82 4(1(0(x1))) -> 1(0(5(5(4(3(x1)))))) 25.06/6.82 4(2(1(x1))) -> 1(4(3(2(1(x1))))) 25.06/6.82 4(2(1(x1))) -> 2(1(4(3(5(x1))))) 25.06/6.82 4(2(1(x1))) -> 3(4(3(2(5(1(x1)))))) 25.06/6.82 4(2(1(x1))) -> 1(5(4(3(3(2(x1)))))) 25.06/6.82 1(2(5(x1))) -> 4(5(3(2(2(1(x1)))))) 25.06/6.82 1(2(5(x1))) -> 4(3(5(2(3(1(x1)))))) 25.06/6.82 4(2(5(x1))) -> 4(3(2(5(0(x1))))) 25.06/6.82 4(2(5(x1))) -> 2(4(3(5(5(x1))))) 25.06/6.82 4(2(5(x1))) -> 2(5(4(4(3(0(x1)))))) 25.06/6.82 4(2(5(x1))) -> 4(4(3(5(2(2(x1)))))) 25.06/6.82 4(2(5(x1))) -> 5(5(4(3(3(2(x1)))))) 25.06/6.82 4(2(5(x1))) -> 3(5(3(4(3(2(x1)))))) 25.06/6.82 4(2(5(x1))) -> 5(0(4(3(5(2(x1)))))) 25.06/6.82 4(2(5(x1))) -> 4(3(5(2(1(3(x1)))))) 25.06/6.82 4(2(5(x1))) -> 3(0(4(3(2(5(x1)))))) 25.06/6.82 4(2(0(0(x1)))) -> 2(0(3(4(0(x1))))) 25.06/6.82 5(1(1(0(x1)))) -> 2(1(5(3(1(0(x1)))))) 25.06/6.82 4(2(1(0(x1)))) -> 4(3(3(2(1(0(x1)))))) 25.06/6.82 5(4(1(0(x1)))) -> 1(5(0(4(3(x1))))) 25.06/6.82 5(4(1(0(x1)))) -> 1(0(3(5(4(3(x1)))))) 25.06/6.82 1(2(4(0(x1)))) -> 4(3(2(1(4(0(x1)))))) 25.06/6.82 4(1(5(0(x1)))) -> 1(4(5(3(0(0(x1)))))) 25.06/6.82 4(1(0(1(x1)))) -> 1(2(1(0(4(3(x1)))))) 25.06/6.82 4(2(1(1(x1)))) -> 2(1(4(3(1(x1))))) 25.06/6.82 4(2(2(1(x1)))) -> 1(4(3(2(2(2(x1)))))) 25.06/6.82 2(4(2(1(x1)))) -> 3(2(4(3(2(1(x1)))))) 25.06/6.82 1(2(5(1(x1)))) -> 2(1(5(3(0(1(x1)))))) 25.06/6.82 4(2(5(1(x1)))) -> 4(1(5(3(2(3(x1)))))) 25.06/6.82 4(2(5(1(x1)))) -> 4(1(3(3(2(5(x1)))))) 25.06/6.82 4(1(0(5(x1)))) -> 1(3(5(0(4(3(x1)))))) 25.06/6.82 1(5(2(5(x1)))) -> 2(5(1(5(3(x1))))) 25.06/6.82 4(5(1(1(0(x1))))) -> 1(1(4(5(0(0(x1)))))) 25.06/6.82 4(2(0(0(1(x1))))) -> 1(4(4(0(2(0(x1)))))) 25.06/6.82 1(2(4(0(1(x1))))) -> 0(1(4(3(2(1(x1)))))) 25.06/6.82 1(0(5(2(1(x1))))) -> 1(0(1(5(3(2(x1)))))) 25.06/6.82 4(0(3(5(1(x1))))) -> 4(0(4(3(1(5(x1)))))) 25.06/6.82 4(2(5(0(5(x1))))) -> 2(5(5(0(0(4(x1)))))) 25.06/6.82 2(4(2(3(5(x1))))) -> 2(4(3(5(1(2(x1)))))) 25.06/6.82 Bounds Processor: 25.06/6.82 bound: 1 25.06/6.82 enrichment: match 25.06/6.82 automaton: 25.06/6.82 final states: {193,187,184,180,179,174,170,166,164,161,156,151,149, 25.06/6.82 145,143,140,135,131,128,125,123,120,116,111,107,102, 25.06/6.83 98,97,92,87,83,79,75,71,65,61,57,56,51,48,44,39,34, 25.06/6.83 29,25,22,20,14,8,1} 25.06/6.83 transitions: 25.06/6.83 11(262) -> 263* 25.06/6.83 11(212) -> 213* 25.06/6.83 11(284) -> 285* 25.06/6.83 11(214) -> 215* 25.06/6.83 11(311) -> 312* 25.06/6.83 11(266) -> 267* 25.06/6.83 11(206) -> 207* 25.06/6.83 11(318) -> 319* 25.06/6.83 11(288) -> 289* 25.06/6.83 11(238) -> 239* 25.06/6.83 11(233) -> 234* 25.06/6.83 11(290) -> 291* 25.06/6.83 11(210) -> 211* 25.06/6.83 11(292) -> 293* 25.06/6.83 31(257) -> 258* 25.06/6.83 31(314) -> 315* 25.06/6.83 31(264) -> 265* 25.06/6.83 31(234) -> 235* 25.06/6.83 31(316) -> 317* 25.06/6.83 31(291) -> 292* 25.06/6.83 31(286) -> 287* 25.06/6.83 31(241) -> 242* 25.06/6.83 31(236) -> 237* 25.06/6.83 31(293) -> 294* 25.06/6.83 31(213) -> 214* 25.06/6.83 31(208) -> 209* 25.06/6.83 31(260) -> 261* 25.06/6.83 31(215) -> 216* 25.06/6.83 31(312) -> 313* 25.06/6.83 01(217) -> 218* 25.06/6.83 01(313) -> 314* 25.06/6.83 01(283) -> 284* 25.06/6.83 01(263) -> 264* 25.06/6.83 01(295) -> 296* 25.06/6.83 01(235) -> 236* 25.06/6.83 01(205) -> 206* 25.06/6.83 51(242) -> 243* 25.06/6.83 51(232) -> 233* 25.06/6.83 51(259) -> 260* 25.06/6.83 51(310) -> 311* 25.06/6.83 51(265) -> 266* 25.06/6.83 51(317) -> 318* 25.06/6.83 41(287) -> 288* 25.06/6.83 41(294) -> 295* 25.06/6.83 41(209) -> 210* 25.06/6.83 41(216) -> 217* 25.06/6.83 41(243) -> 244* 25.06/6.83 21(267) -> 268* 25.06/6.83 21(207) -> 208* 25.06/6.83 21(319) -> 320* 25.06/6.83 21(239) -> 240* 25.06/6.83 21(258) -> 259* 25.06/6.83 21(285) -> 286* 25.06/6.83 21(240) -> 241* 25.06/6.83 f60() -> 2* 25.06/6.83 10(70) -> 65* 25.06/6.83 10(55) -> 51* 25.06/6.83 10(30) -> 31* 25.06/6.83 10(15) -> 16* 25.06/6.83 10(10) -> 11* 25.06/6.83 10(172) -> 173* 25.06/6.83 10(167) -> 168* 25.06/6.83 10(162) -> 163* 25.06/6.83 10(142) -> 140* 25.06/6.83 10(127) -> 125* 25.06/6.83 10(117) -> 132* 25.06/6.83 10(42) -> 56* 25.06/6.83 10(7) -> 1* 25.06/6.83 10(2) -> 9* 25.06/6.83 10(159) -> 160* 25.06/6.83 10(154) -> 155* 25.06/6.83 10(139) -> 135* 25.06/6.83 10(59) -> 60* 25.06/6.83 10(19) -> 14* 25.06/6.83 10(9) -> 35* 25.06/6.83 10(181) -> 182* 25.06/6.83 10(126) -> 141* 25.06/6.83 10(121) -> 122* 25.06/6.83 10(66) -> 194* 25.06/6.83 10(183) -> 180* 25.06/6.83 10(178) -> 174* 25.06/6.83 10(173) -> 170* 25.06/6.83 10(148) -> 145* 25.06/6.83 10(23) -> 144* 25.06/6.83 10(3) -> 4* 25.06/6.83 10(165) -> 164* 25.06/6.83 10(130) -> 128* 25.06/6.83 40(45) -> 46* 25.06/6.83 40(30) -> 52* 25.06/6.83 40(10) -> 23* 25.06/6.83 40(177) -> 178* 25.06/6.83 40(147) -> 148* 25.06/6.83 40(82) -> 79* 25.06/6.83 40(67) -> 99* 25.06/6.83 40(37) -> 38* 25.06/6.83 40(32) -> 33* 25.06/6.83 40(27) -> 28* 25.06/6.83 40(17) -> 185* 25.06/6.83 40(12) -> 13* 25.06/6.83 40(2) -> 188* 25.06/6.83 40(134) -> 131* 25.06/6.83 40(124) -> 123* 25.06/6.83 40(104) -> 105* 25.06/6.83 40(89) -> 90* 25.06/6.83 40(74) -> 71* 25.06/6.83 40(196) -> 197* 25.06/6.83 40(186) -> 184* 25.06/6.83 40(176) -> 177* 25.06/6.83 40(171) -> 172* 25.06/6.83 40(96) -> 92* 25.06/6.83 40(46) -> 47* 25.06/6.83 40(41) -> 42* 25.06/6.83 40(21) -> 20* 25.06/6.83 40(6) -> 7* 25.06/6.83 40(163) -> 161* 25.06/6.83 40(138) -> 139* 25.06/6.83 40(113) -> 114* 25.06/6.83 40(88) -> 89* 25.06/6.83 40(78) -> 75* 25.06/6.83 40(68) -> 69* 25.06/6.83 40(63) -> 64* 25.06/6.83 40(58) -> 59* 25.06/6.83 40(3) -> 117* 25.06/6.83 40(160) -> 156* 25.06/6.83 40(110) -> 107* 25.06/6.83 40(95) -> 96* 25.06/6.83 40(85) -> 86* 25.06/6.83 30(40) -> 41* 25.06/6.83 30(15) -> 58* 25.06/6.83 30(10) -> 45* 25.06/6.83 30(5) -> 6* 25.06/6.83 30(157) -> 158* 25.06/6.83 30(152) -> 153* 25.06/6.83 30(127) -> 165* 25.06/6.83 30(117) -> 118* 25.06/6.83 30(112) -> 113* 25.06/6.83 30(77) -> 78* 25.06/6.83 30(72) -> 73* 25.06/6.83 30(67) -> 68* 25.06/6.83 30(62) -> 63* 25.06/6.83 30(42) -> 43* 25.06/6.83 30(2) -> 30* 25.06/6.83 30(109) -> 110* 25.06/6.83 30(99) -> 100* 25.06/6.83 30(94) -> 95* 25.06/6.83 30(84) -> 85* 25.06/6.83 30(64) -> 61* 25.06/6.83 30(9) -> 10* 25.06/6.83 30(4) -> 21* 25.06/6.83 30(146) -> 147* 25.06/6.83 30(136) -> 137* 25.06/6.83 30(101) -> 98* 25.06/6.83 30(81) -> 82* 25.06/6.83 30(66) -> 67* 25.06/6.83 30(36) -> 37* 25.06/6.83 30(31) -> 32* 25.06/6.83 30(26) -> 27* 25.06/6.83 30(16) -> 17* 25.06/6.83 30(11) -> 12* 25.06/6.83 30(6) -> 124* 25.06/6.83 30(133) -> 134* 25.06/6.83 30(113) -> 162* 25.06/6.83 30(103) -> 104* 25.06/6.83 30(53) -> 129* 25.06/6.83 30(18) -> 19* 25.06/6.83 30(3) -> 88* 25.06/6.83 30(195) -> 196* 25.06/6.83 30(150) -> 149* 25.06/6.83 30(115) -> 111* 25.06/6.83 20(80) -> 81* 25.06/6.83 20(60) -> 57* 25.06/6.83 20(40) -> 72* 25.06/6.83 20(30) -> 157* 25.06/6.83 20(15) -> 112* 25.06/6.83 20(10) -> 76* 25.06/6.83 20(197) -> 193* 25.06/6.83 20(192) -> 187* 25.06/6.83 20(132) -> 133* 25.06/6.83 20(122) -> 120* 25.06/6.83 20(42) -> 150* 25.06/6.83 20(2) -> 66* 25.06/6.83 20(169) -> 166* 25.06/6.83 20(144) -> 143* 25.06/6.83 20(119) -> 116* 25.06/6.83 20(9) -> 40* 25.06/6.83 20(4) -> 5* 25.06/6.83 20(141) -> 142* 25.06/6.83 20(91) -> 87* 25.06/6.83 20(86) -> 83* 25.06/6.83 20(66) -> 93* 25.06/6.83 20(31) -> 108* 25.06/6.83 20(26) -> 62* 25.06/6.83 20(93) -> 146* 25.06/6.83 20(23) -> 24* 25.06/6.83 20(3) -> 175* 25.06/6.83 20(155) -> 151* 25.06/6.83 00(182) -> 183* 25.06/6.83 00(52) -> 126* 25.06/6.83 00(47) -> 44* 25.06/6.83 00(17) -> 18* 25.06/6.83 00(2) -> 3* 25.06/6.83 00(189) -> 190* 25.06/6.83 00(129) -> 130* 25.06/6.83 00(114) -> 115* 25.06/6.83 00(54) -> 55* 25.06/6.83 00(49) -> 50* 25.06/6.83 00(24) -> 22* 25.06/6.83 00(9) -> 152* 25.06/6.83 00(56) -> 179* 25.06/6.83 00(188) -> 189* 25.06/6.83 00(118) -> 119* 25.06/6.83 00(43) -> 39* 25.06/6.83 00(38) -> 34* 25.06/6.83 00(33) -> 29* 25.06/6.83 00(28) -> 25* 25.06/6.83 00(13) -> 8* 25.06/6.83 00(3) -> 136* 25.06/6.83 00(185) -> 186* 25.06/6.83 00(175) -> 176* 25.06/6.83 00(105) -> 106* 25.06/6.83 50(70) -> 97* 25.06/6.83 50(50) -> 48* 25.06/6.83 50(35) -> 36* 25.06/6.83 50(30) -> 167* 25.06/6.83 50(15) -> 84* 25.06/6.83 50(137) -> 138* 25.06/6.83 50(67) -> 181* 25.06/6.83 50(52) -> 53* 25.06/6.83 50(2) -> 15* 25.06/6.83 50(194) -> 195* 25.06/6.83 50(69) -> 70* 25.06/6.83 50(9) -> 26* 25.06/6.83 50(191) -> 192* 25.06/6.83 50(136) -> 171* 25.06/6.83 50(126) -> 127* 25.06/6.83 50(106) -> 102* 25.06/6.83 50(76) -> 77* 25.06/6.83 50(66) -> 103* 25.06/6.83 50(21) -> 121* 25.06/6.83 50(168) -> 169* 25.06/6.83 50(158) -> 159* 25.06/6.83 50(153) -> 154* 25.06/6.83 50(108) -> 109* 25.06/6.83 50(93) -> 94* 25.06/6.83 50(73) -> 74* 25.06/6.83 50(53) -> 54* 25.06/6.83 50(23) -> 49* 25.06/6.83 50(3) -> 80* 25.06/6.83 50(190) -> 191* 25.06/6.83 50(100) -> 101* 25.06/6.83 50(90) -> 91* 25.06/6.83 1 -> 9,35 25.06/6.83 8 -> 9,35 25.06/6.83 14 -> 9,35 25.06/6.83 20 -> 188* 25.06/6.83 22 -> 188* 25.06/6.83 25 -> 188* 25.06/6.83 29 -> 188* 25.06/6.83 34 -> 188* 25.06/6.83 39 -> 188* 25.06/6.83 44 -> 188* 25.06/6.83 48 -> 188* 25.06/6.83 51 -> 188* 25.06/6.83 56 -> 188* 25.06/6.83 57 -> 188* 25.06/6.83 61 -> 188* 25.06/6.83 65 -> 188* 25.06/6.83 71 -> 9,194 25.06/6.83 75 -> 9,194 25.06/6.83 79 -> 188* 25.06/6.83 83 -> 188* 25.06/6.83 87 -> 188* 25.06/6.83 92 -> 188* 25.06/6.83 97 -> 188* 25.06/6.83 98 -> 188* 25.06/6.83 102 -> 188* 25.06/6.83 107 -> 188* 25.06/6.83 111 -> 188* 25.06/6.83 116 -> 188* 25.06/6.83 120 -> 15,26,36 25.06/6.83 123 -> 188* 25.06/6.83 125 -> 15* 25.06/6.83 128 -> 15* 25.06/6.83 129 -> 232,212,205 25.06/6.83 131 -> 9,194 25.06/6.83 135 -> 188* 25.06/6.83 140 -> 188* 25.06/6.83 143 -> 188* 25.06/6.83 145 -> 188* 25.06/6.83 149 -> 66* 25.06/6.83 151 -> 9,194 25.06/6.83 156 -> 188* 25.06/6.83 161 -> 188* 25.06/6.83 164 -> 188* 25.06/6.83 166 -> 9,16 25.06/6.83 167 -> 262* 25.06/6.83 168 -> 238* 25.06/6.83 170 -> 188* 25.06/6.83 174 -> 188* 25.06/6.83 179 -> 9,194 25.06/6.83 180 -> 9,4 25.06/6.83 182 -> 310,290,283 25.06/6.83 184 -> 188,117 25.06/6.83 187 -> 188* 25.06/6.83 193 -> 66* 25.06/6.83 211 -> 16* 25.06/6.83 218 -> 16* 25.06/6.83 237 -> 210* 25.06/6.83 239 -> 257* 25.06/6.83 244 -> 35* 25.06/6.83 261 -> 243* 25.06/6.83 268 -> 35* 25.06/6.83 285 -> 316* 25.06/6.83 289 -> 35* 25.06/6.83 296 -> 35* 25.06/6.83 315 -> 288* 25.06/6.83 320 -> 36* 25.06/6.83 problem: 25.06/6.83 25.06/6.83 Qed 25.06/6.84 EOF