YES Problem: 0(0(1(x1))) -> 0(1(2(0(3(x1))))) 0(0(1(x1))) -> 0(1(2(0(3(2(x1)))))) 0(0(1(x1))) -> 1(2(0(0(3(2(x1)))))) 0(1(0(x1))) -> 2(0(3(1(2(0(x1)))))) 0(4(1(x1))) -> 4(0(3(1(x1)))) 0(4(1(x1))) -> 2(4(0(3(2(1(x1)))))) 0(4(1(x1))) -> 2(4(0(5(3(1(x1)))))) 0(4(1(x1))) -> 4(2(1(2(0(3(x1)))))) 4(1(0(x1))) -> 1(2(0(4(x1)))) 0(0(1(1(x1)))) -> 1(2(0(0(3(1(x1)))))) 0(0(2(1(x1)))) -> 2(2(0(3(0(1(x1)))))) 0(0(4(1(x1)))) -> 1(4(0(3(0(3(x1)))))) 0(0(5(1(x1)))) -> 0(0(3(1(2(5(x1)))))) 0(1(1(0(x1)))) -> 1(2(0(0(1(2(x1)))))) 0(1(4(1(x1)))) -> 0(1(2(4(1(2(x1)))))) 0(1(5(0(x1)))) -> 1(2(5(0(0(3(x1)))))) 0(2(4(1(x1)))) -> 4(0(5(3(1(2(x1)))))) 0(4(1(0(x1)))) -> 0(4(0(1(2(x1))))) 0(4(2(1(x1)))) -> 4(0(3(2(2(1(x1)))))) 0(4(2(1(x1)))) -> 4(0(3(5(1(2(x1)))))) 0(4(4(1(x1)))) -> 2(4(0(3(4(1(x1)))))) 0(5(0(1(x1)))) -> 0(2(0(3(5(1(x1)))))) 0(5(0(1(x1)))) -> 5(2(0(3(0(1(x1)))))) 0(5(1(0(x1)))) -> 0(1(2(0(3(5(x1)))))) 0(5(1(0(x1)))) -> 2(0(1(3(5(0(x1)))))) 4(0(5(1(x1)))) -> 1(4(0(5(3(2(x1)))))) 4(1(0(0(x1)))) -> 0(4(1(2(0(x1))))) 4(1(0(1(x1)))) -> 1(1(2(0(4(x1))))) 4(1(5(0(x1)))) -> 1(2(0(5(4(x1))))) 4(1(5(0(x1)))) -> 1(4(0(3(5(x1))))) 4(3(1(0(x1)))) -> 1(4(2(0(3(x1))))) 4(3(1(0(x1)))) -> 2(0(2(1(3(4(x1)))))) 4(3(1(0(x1)))) -> 2(1(4(2(0(3(x1)))))) 4(3(1(0(x1)))) -> 2(2(4(0(1(3(x1)))))) 5(0(1(0(x1)))) -> 0(3(5(1(2(0(x1)))))) 5(0(1(0(x1)))) -> 1(5(2(0(3(0(x1)))))) 5(4(1(0(x1)))) -> 0(1(2(4(5(2(x1)))))) 0(0(5(5(1(x1))))) -> 1(0(0(3(5(5(x1)))))) 0(1(0(5(0(x1))))) -> 0(1(5(2(0(0(x1)))))) 0(2(5(0(1(x1))))) -> 2(0(3(5(0(1(x1)))))) 0(3(1(0(0(x1))))) -> 0(0(3(0(1(2(x1)))))) 0(4(1(4(1(x1))))) -> 4(4(0(1(2(1(x1)))))) 0(5(5(4(1(x1))))) -> 4(1(0(5(5(3(x1)))))) 4(1(5(0(0(x1))))) -> 1(2(0(4(5(0(x1)))))) 4(1(5(5(0(x1))))) -> 5(1(3(0(5(4(x1)))))) 4(3(1(0(1(x1))))) -> 1(1(2(3(0(4(x1)))))) 4(3(1(1(0(x1))))) -> 1(2(0(1(4(3(x1)))))) 4(3(1(5(0(x1))))) -> 5(1(0(3(2(4(x1)))))) 4(4(1(0(5(x1))))) -> 4(0(5(3(4(1(x1)))))) Proof: Bounds Processor: bound: 1 enrichment: match automaton: final states: {193,188,183,179,176,172,167,163,160,156,151,146,141, 136,133,128,127,122,120,118,114,113,111,107,102,97, 96,91,86,82,78,76,72,68,64,59,53,49,44,41,37,35,31, 26,22,16,13,7,1} transitions: 11(462) -> 463* 11(424) -> 425* 11(214) -> 215* 11(369) -> 370* 11(314) -> 315* 11(286) -> 287* 11(361) -> 362* 11(493) -> 494* 11(489) -> 490* 11(393) -> 394* 11(518) -> 519* 11(511) -> 512* 11(225) -> 226* 11(435) -> 436* 11(307) -> 308* 11(411) -> 412* 11(344) -> 345* 11(538) -> 539* 11(249) -> 250* 11(271) -> 272* 11(199) -> 200* 11(266) -> 267* 11(441) -> 442* 01(412) -> 413* 01(311) -> 312* 01(342) -> 343* 01(264) -> 265* 01(444) -> 445* 01(535) -> 536* 01(197) -> 198* 01(516) -> 517* 01(519) -> 520* 01(269) -> 270* 01(284) -> 285* 01(391) -> 392* 01(371) -> 372* 01(227) -> 228* 01(422) -> 423* 01(494) -> 495* 01(445) -> 446* 01(200) -> 201* 01(409) -> 410* 01(433) -> 434* 01(487) -> 488* 01(473) -> 474* 01(539) -> 540* 01(272) -> 273* 01(512) -> 513* 01(348) -> 349* 01(212) -> 213* 01(232) -> 233* 01(247) -> 248* 01(442) -> 443* 01(437) -> 438* 01(376) -> 377* 00(194) -> 195* 00(115) -> 116* 00(158) -> 159* 00(169) -> 170* 00(148) -> 149* 00(88) -> 89* 00(77) -> 76* 00(145) -> 141* 00(185) -> 186* 00(58) -> 53* 00(190) -> 191* 00(162) -> 160* 00(108) -> 109* 00(60) -> 61* 00(57) -> 58* 00(12) -> 7* 00(20) -> 21* 00(129) -> 130* 00(101) -> 97* 00(93) -> 94* 00(137) -> 138* 00(112) -> 111* 00(161) -> 162* 00(173) -> 174* 00(32) -> 33* 00(125) -> 126* 00(23) -> 45* 00(6) -> 1* 00(135) -> 133* 00(84) -> 85* 00(17) -> 152* 00(164) -> 165* 00(3) -> 4* 00(38) -> 39* 00(74) -> 75* 00(155) -> 151* 00(61) -> 62* 00(4) -> 69* 00(25) -> 42* 00(24) -> 25* 00(80) -> 81* 00(67) -> 64* 00(95) -> 91* 00(50) -> 51* 00(98) -> 99* 00(105) -> 106* 00(10) -> 14* 00(9) -> 10* 00(28) -> 29* 00(46) -> 47* 00(149) -> 150* 00(2) -> 17* f60() -> 2* 50(153) -> 154* 50(178) -> 176* 50(17) -> 103* 50(8) -> 142* 50(168) -> 169* 50(45) -> 157* 50(3) -> 168* 50(2) -> 54* 50(38) -> 115* 50(192) -> 188* 50(69) -> 70* 50(23) -> 92* 50(9) -> 108* 50(73) -> 74* 50(54) -> 147* 50(19) -> 134* 50(139) -> 140* 50(24) -> 32* 50(88) -> 194* 50(60) -> 83* 50(48) -> 96* 40(2) -> 38* 40(75) -> 72* 40(23) -> 87* 40(130) -> 131* 40(33) -> 34* 40(51) -> 52* 40(109) -> 110* 40(85) -> 82* 40(195) -> 193* 40(81) -> 78* 40(165) -> 166* 40(3) -> 184* 40(103) -> 173* 40(89) -> 90* 40(166) -> 163* 40(36) -> 35* 40(60) -> 65* 40(61) -> 77* 40(5) -> 121* 40(99) -> 119* 40(142) -> 143* 40(171) -> 167* 40(25) -> 22* 40(29) -> 30* 40(19) -> 112* 10(52) -> 49* 10(66) -> 67* 10(2) -> 23* 10(119) -> 118* 10(5) -> 6* 10(71) -> 68* 10(181) -> 182* 10(117) -> 114* 10(27) -> 164* 10(15) -> 13* 10(191) -> 192* 10(184) -> 185* 10(140) -> 136* 10(154) -> 155* 10(104) -> 105* 10(121) -> 120* 10(40) -> 37* 10(175) -> 172* 10(3) -> 129* 10(18) -> 19* 10(55) -> 56* 10(110) -> 107* 10(187) -> 183* 10(43) -> 41* 10(11) -> 12* 10(8) -> 60* 10(37) -> 113* 10(144) -> 145* 10(63) -> 59* 10(123) -> 124* 10(170) -> 171* 10(150) -> 146* 10(100) -> 101* 10(177) -> 178* 10(182) -> 179* 30(189) -> 190* 30(38) -> 123* 30(39) -> 180* 30(116) -> 177* 30(79) -> 80* 30(17) -> 137* 30(134) -> 135* 30(56) -> 57* 30(54) -> 98* 30(23) -> 24* 30(27) -> 28* 30(92) -> 93* 30(61) -> 161* 30(60) -> 73* 30(8) -> 9* 30(83) -> 84* 30(4) -> 50* 30(87) -> 88* 30(103) -> 104* 30(147) -> 148* 30(19) -> 20* 30(157) -> 158* 30(45) -> 46* 30(2) -> 3* 20(132) -> 128* 20(38) -> 189* 20(54) -> 55* 20(152) -> 153* 20(34) -> 31* 20(17) -> 18* 20(23) -> 27* 20(2) -> 8* 20(116) -> 117* 20(47) -> 48* 20(14) -> 15* 20(124) -> 125* 20(4) -> 5* 20(90) -> 86* 20(10) -> 11* 20(126) -> 122* 20(42) -> 43* 20(39) -> 40* 20(62) -> 63* 20(94) -> 95* 20(131) -> 132* 20(6) -> 36* 20(27) -> 79* 20(99) -> 100* 20(70) -> 71* 20(138) -> 139* 20(106) -> 102* 20(159) -> 156* 20(143) -> 144* 20(21) -> 16* 20(48) -> 44* 20(186) -> 187* 20(174) -> 175* 20(120) -> 127* 20(30) -> 26* 20(180) -> 181* 20(65) -> 66* 41(349) -> 350* 41(233) -> 234* 41(474) -> 475* 41(343) -> 344* 41(509) -> 510* 41(372) -> 373* 41(228) -> 229* 41(312) -> 313* 41(495) -> 496* 41(263) -> 264* 41(377) -> 378* 51(536) -> 537* 51(508) -> 509* 51(244) -> 245* 51(315) -> 316* 51(476) -> 477* 51(514) -> 515* 51(388) -> 389* 51(362) -> 363* 31(226) -> 227* 31(436) -> 437* 31(310) -> 311* 31(294) -> 295* 31(268) -> 269* 31(341) -> 342* 31(196) -> 197* 31(322) -> 323* 31(370) -> 371* 31(486) -> 487* 31(472) -> 473* 31(515) -> 516* 31(456) -> 457* 31(375) -> 376* 31(347) -> 348* 31(408) -> 409* 31(390) -> 391* 31(231) -> 232* 31(443) -> 444* 31(246) -> 247* 31(330) -> 331* 31(537) -> 538* 21(492) -> 493* 21(440) -> 441* 21(270) -> 271* 21(346) -> 347* 21(374) -> 375* 21(250) -> 251* 21(414) -> 415* 21(296) -> 297* 21(230) -> 231* 21(423) -> 424* 21(213) -> 214* 21(285) -> 286* 21(392) -> 393* 21(309) -> 310* 21(308) -> 309* 21(510) -> 511* 21(378) -> 379* 21(332) -> 333* 21(198) -> 199* 21(394) -> 395* 21(248) -> 249* 21(517) -> 518* 21(488) -> 489* 21(282) -> 283* 21(490) -> 491* 21(324) -> 325* 21(360) -> 361* 21(458) -> 459* 21(410) -> 411* 21(438) -> 439* 21(265) -> 266* 21(234) -> 235* 21(540) -> 541* 21(210) -> 211* 21(471) -> 472* 21(434) -> 435* 513 -> 103* 459 -> 268* 156 -> 17* 415 -> 408* 395 -> 372* 151 -> 17,45 475 -> 438* 439 -> 152* 163 -> 17,39 144 -> 414,408 541 -> 39* 215 -> 62* 413 -> 116* 148 -> 440* 267 -> 167* 68 -> 17,45 154 -> 458,456 190 -> 535,514 160 -> 17,4,25 245 -> 232* 198 -> 212* 35 -> 17,39 64 -> 17,45 113 -> 38,87 295 -> 269* 370 -> 374* 7 -> 17,152 100 -> 332,330 140 -> 390,369 169 -> 492,263 373 -> 174* 114 -> 38,87 16 -> 17,45 379 -> 174* 66 -> 324,322 425 -> 116* 188 -> 38,184 520 -> 39* 463 -> 471,310 118 -> 38,87 11 -> 296,294 313 -> 152* 53 -> 17,152 82 -> 17,39 350 -> 39* 270 -> 284* 283 -> 314,268 363 -> 347* 249 -> 360* 22 -> 17,39 345 -> 39* 172 -> 38,87 389 -> 376* 311 -> 476* 493 -> 508* 141 -> 54,115 251 -> 346,228 72 -> 17* 248 -> 341* 201 -> 62* 170 -> 486,462 91 -> 17* 86 -> 17,39 235 -> 111* 76 -> 17,39 297 -> 268* 26 -> 17,39 323 -> 269* 179 -> 38,184 44 -> 17,152 183 -> 38,184 477 -> 473* 410 -> 422* 13 -> 17,152 316 -> 310* 127 -> 38,184 287 -> 152* 8 -> 210,196 1 -> 17,152 49 -> 17,152 31 -> 17,39 107 -> 38* 446 -> 138* 193 -> 38* 325 -> 268* 59 -> 17,45 37 -> 38,87 5 -> 307,282,268 331 -> 269* 146 -> 17,152 333 -> 268* 120 -> 38,184 41 -> 17,152 226 -> 230* 227 -> 244* 18 -> 246,225 491 -> 312* 133 -> 54,103,157 122 -> 38,184 211 -> 196* 149 -> 433* 167 -> 17* 136 -> 54,103,157 371 -> 388* 96 -> 17* 97 -> 17* 273 -> 152* 496 -> 272* 229 -> 111* 128 -> 38,184 102 -> 17* 457 -> 269* 176 -> 38,87 111 -> 38,87 78 -> 17,39 problem: Qed