9.04/2.64 YES 9.04/2.65 9.04/2.65 Problem: 9.04/2.65 a(a(a(a(x1)))) -> a(a(b(b(b(b(b(b(x1)))))))) 9.04/2.65 b(b(a(a(x1)))) -> b(b(b(b(c(c(x1)))))) 9.04/2.65 a(a(b(b(b(b(c(c(x1)))))))) -> a(a(a(a(a(a(b(b(x1)))))))) 9.04/2.65 9.04/2.65 Proof: 9.04/2.65 Bounds Processor: 9.04/2.65 bound: 3 9.04/2.65 enrichment: match 9.04/2.65 automaton: 9.04/2.65 final states: {16,10,1} 9.04/2.65 transitions: 9.04/2.65 f30() -> 2* 9.04/2.65 a0(20) -> 21* 9.04/2.65 a0(17) -> 18* 9.04/2.65 a0(19) -> 20* 9.04/2.65 a0(9) -> 1* 9.04/2.65 a0(4) -> 17* 9.04/2.65 a0(21) -> 16* 9.04/2.65 a0(18) -> 19* 9.04/2.65 a0(8) -> 9* 9.04/2.65 b0(15) -> 10* 9.04/2.65 b0(5) -> 6* 9.04/2.65 b0(12) -> 13* 9.04/2.65 b0(7) -> 8* 9.04/2.65 b0(2) -> 3* 9.04/2.65 b0(14) -> 15* 9.04/2.65 b0(4) -> 5* 9.04/2.65 b0(6) -> 7* 9.04/2.65 b0(13) -> 14* 9.04/2.65 b0(3) -> 4* 9.04/2.65 c0(2) -> 11* 9.04/2.65 c0(11) -> 12* 9.04/2.65 a1(92) -> 93* 9.04/2.65 a1(47) -> 48* 9.04/2.65 a1(37) -> 38* 9.04/2.65 a1(159) -> 160* 9.04/2.65 a1(89) -> 90* 9.04/2.65 a1(74) -> 75* 9.04/2.65 a1(91) -> 92* 9.04/2.65 a1(46) -> 47* 9.04/2.65 a1(93) -> 94* 9.04/2.65 a1(88) -> 89* 9.04/2.65 a1(73) -> 74* 9.04/2.65 a1(38) -> 39* 9.04/2.65 a1(160) -> 161* 9.04/2.65 a1(90) -> 91* 9.04/2.65 b1(70) -> 71* 9.04/2.65 b1(45) -> 46* 9.04/2.65 b1(40) -> 41* 9.04/2.65 b1(35) -> 36* 9.04/2.65 b1(222) -> 223* 9.04/2.65 b1(212) -> 213* 9.04/2.65 b1(162) -> 163* 9.04/2.65 b1(157) -> 158* 9.04/2.65 b1(87) -> 88* 9.04/2.65 b1(72) -> 73* 9.04/2.65 b1(67) -> 68* 9.04/2.65 b1(42) -> 43* 9.04/2.65 b1(32) -> 33* 9.04/2.65 b1(214) -> 215* 9.04/2.65 b1(204) -> 205* 9.04/2.65 b1(154) -> 155* 9.04/2.65 b1(69) -> 70* 9.04/2.65 b1(44) -> 45* 9.04/2.65 b1(34) -> 35* 9.04/2.65 b1(206) -> 207* 9.04/2.65 b1(156) -> 157* 9.04/2.65 b1(86) -> 87* 9.04/2.65 b1(76) -> 77* 9.04/2.65 b1(71) -> 72* 9.04/2.65 b1(41) -> 42* 9.04/2.65 b1(36) -> 37* 9.04/2.65 b1(31) -> 32* 9.04/2.65 b1(228) -> 229* 9.04/2.65 b1(158) -> 159* 9.04/2.65 b1(153) -> 154* 9.04/2.65 b1(68) -> 69* 9.04/2.65 b1(43) -> 44* 9.04/2.65 b1(33) -> 34* 9.04/2.65 b1(220) -> 221* 9.04/2.65 b1(155) -> 156* 9.04/2.65 b1(140) -> 141* 9.04/2.65 c1(84) -> 85* 9.04/2.65 c1(83) -> 84* 9.04/2.65 b2(232) -> 233* 9.04/2.65 b2(177) -> 178* 9.04/2.65 b2(132) -> 133* 9.04/2.65 b2(329) -> 330* 9.04/2.65 b2(309) -> 310* 9.04/2.65 b2(107) -> 108* 9.04/2.65 b2(289) -> 290* 9.04/2.65 b2(259) -> 260* 9.04/2.65 b2(234) -> 235* 9.04/2.65 b2(194) -> 195* 9.04/2.65 b2(179) -> 180* 9.04/2.65 b2(366) -> 367* 9.04/2.65 b2(134) -> 135* 9.04/2.65 b2(326) -> 327* 9.04/2.65 b2(109) -> 110* 9.04/2.65 b2(104) -> 105* 9.04/2.65 b2(261) -> 262* 9.04/2.65 b2(196) -> 197* 9.04/2.65 b2(176) -> 177* 9.04/2.65 b2(368) -> 369* 9.04/2.65 b2(338) -> 339* 9.04/2.65 b2(136) -> 137* 9.04/2.65 b2(131) -> 132* 9.04/2.65 b2(328) -> 329* 9.04/2.65 b2(323) -> 324* 9.04/2.65 b2(106) -> 107* 9.04/2.65 b2(288) -> 289* 9.04/2.65 b2(258) -> 259* 9.04/2.65 b2(233) -> 234* 9.04/2.65 b2(198) -> 199* 9.04/2.65 b2(193) -> 194* 9.04/2.65 b2(178) -> 179* 9.04/2.65 b2(340) -> 341* 9.04/2.65 b2(133) -> 134* 9.04/2.65 b2(330) -> 331* 9.04/2.65 b2(325) -> 326* 9.04/2.65 b2(315) -> 316* 9.04/2.65 b2(108) -> 109* 9.04/2.65 b2(290) -> 291* 9.04/2.65 b2(260) -> 261* 9.04/2.65 b2(235) -> 236* 9.04/2.65 b2(195) -> 196* 9.04/2.65 b2(180) -> 181* 9.04/2.65 b2(175) -> 176* 9.04/2.65 b2(135) -> 136* 9.04/2.65 b2(327) -> 328* 9.04/2.65 b2(317) -> 318* 9.04/2.65 b2(307) -> 308* 9.04/2.65 b2(105) -> 106* 9.04/2.65 b2(287) -> 288* 9.04/2.65 c2(277) -> 278* 9.04/2.65 c2(257) -> 258* 9.04/2.65 c2(192) -> 193* 9.04/2.65 c2(344) -> 345* 9.04/2.65 c2(279) -> 280* 9.04/2.65 c2(254) -> 255* 9.04/2.65 c2(346) -> 347* 9.04/2.65 c2(286) -> 287* 9.04/2.65 c2(256) -> 257* 9.04/2.65 c2(241) -> 242* 9.04/2.65 c2(231) -> 232* 9.04/2.65 c2(191) -> 192* 9.04/2.65 c2(293) -> 294* 9.04/2.65 c2(243) -> 244* 9.04/2.65 c2(395) -> 396* 9.04/2.65 c2(285) -> 286* 9.04/2.65 c2(230) -> 231* 9.04/2.65 c2(292) -> 293* 9.04/2.65 a2(182) -> 183* 9.04/2.65 a2(137) -> 138* 9.04/2.65 a2(331) -> 332* 9.04/2.65 a2(181) -> 182* 9.04/2.65 a2(111) -> 112* 9.04/2.65 a2(138) -> 139* 9.04/2.65 a2(332) -> 333* 9.04/2.65 a2(110) -> 111* 9.04/2.65 b3(409) -> 410* 9.04/2.65 b3(374) -> 375* 9.04/2.65 b3(354) -> 355* 9.04/2.65 b3(406) -> 407* 9.04/2.65 b3(391) -> 392* 9.04/2.65 b3(376) -> 377* 9.04/2.65 b3(408) -> 409* 9.04/2.65 b3(393) -> 394* 9.04/2.65 b3(353) -> 354* 9.04/2.65 b3(390) -> 391* 9.04/2.65 b3(375) -> 376* 9.04/2.65 b3(355) -> 356* 9.04/2.65 b3(407) -> 408* 9.04/2.65 b3(392) -> 393* 9.04/2.65 b3(377) -> 378* 9.04/2.65 b3(352) -> 353* 9.04/2.65 c3(404) -> 405* 9.04/2.65 c3(389) -> 390* 9.04/2.65 c3(351) -> 352* 9.04/2.65 c3(388) -> 389* 9.04/2.65 c3(373) -> 374* 9.04/2.65 c3(405) -> 406* 9.04/2.65 c3(350) -> 351* 9.04/2.65 c3(372) -> 373* 9.04/2.65 2 -> 86* 9.04/2.65 4 -> 83,31 9.04/2.65 10 -> 87,88,292,3,4,83 9.04/2.65 17 -> 67* 9.04/2.65 18 -> 40* 9.04/2.65 37 -> 76* 9.04/2.65 39 -> 20* 9.04/2.65 48 -> 16* 9.04/2.65 75 -> 21* 9.04/2.65 77 -> 41* 9.04/2.65 85 -> 35* 9.04/2.65 88 -> 292,104 9.04/2.65 89 -> 285,175 9.04/2.65 90 -> 241,131 9.04/2.65 91 -> 340,279,153 9.04/2.65 92 -> 323,191,162 9.04/2.65 93 -> 346,309,140 9.04/2.65 94 -> 90,131,241,18,40 9.04/2.65 110 -> 388,230,198 9.04/2.65 111 -> 338,277,214 9.04/2.65 112 -> 92* 9.04/2.65 137 -> 350,315,243,204 9.04/2.65 138 -> 344,307,228 9.04/2.65 139 -> 94,18 9.04/2.65 141 -> 68* 9.04/2.65 159 -> 222* 9.04/2.65 160 -> 220* 9.04/2.65 161 -> 19* 9.04/2.65 163 -> 32* 9.04/2.65 181 -> 404,325,256,212 9.04/2.65 182 -> 317,254,206 9.04/2.65 183 -> 93* 9.04/2.65 197 -> 133,42 9.04/2.65 199 -> 132* 9.04/2.65 205 -> 32* 9.04/2.65 207 -> 32* 9.04/2.65 213 -> 154* 9.04/2.65 215 -> 154* 9.04/2.65 221 -> 41* 9.04/2.65 223 -> 68* 9.04/2.65 229 -> 68* 9.04/2.65 236 -> 106,33 9.04/2.65 242 -> 231* 9.04/2.65 244 -> 192* 9.04/2.65 255 -> 192* 9.04/2.65 262 -> 177,69 9.04/2.65 278 -> 257* 9.04/2.65 280 -> 257* 9.04/2.65 291 -> 327,155 9.04/2.65 294 -> 108* 9.04/2.65 308 -> 176* 9.04/2.65 310 -> 176* 9.04/2.65 316 -> 105* 9.04/2.65 318 -> 105* 9.04/2.65 324 -> 105* 9.04/2.65 331 -> 372,366 9.04/2.65 332 -> 395,368 9.04/2.65 333 -> 91* 9.04/2.65 339 -> 326* 9.04/2.65 341 -> 326* 9.04/2.65 345 -> 286* 9.04/2.65 347 -> 286* 9.04/2.65 356 -> 133* 9.04/2.65 367 -> 176* 9.04/2.65 369 -> 132* 9.04/2.65 378 -> 155,327 9.04/2.65 394 -> 33,106 9.04/2.65 396 -> 389* 9.04/2.65 410 -> 177* 9.04/2.65 problem: 9.04/2.65 9.04/2.65 Qed 9.04/2.66 EOF