YES Problem: 0(1(2(2(x1)))) -> 0(1(1(x1))) 1(3(0(2(4(3(2(x1))))))) -> 0(2(4(5(3(4(x1)))))) 4(5(3(0(4(0(3(x1))))))) -> 3(5(1(2(2(5(0(x1))))))) 5(2(0(3(3(2(5(2(x1)))))))) -> 3(4(1(3(4(2(2(1(x1)))))))) 1(5(1(1(4(5(4(2(0(x1))))))))) -> 5(1(5(0(2(2(1(0(x1)))))))) 2(5(4(4(0(0(2(1(2(x1))))))))) -> 2(2(0(4(4(3(0(2(x1)))))))) 1(5(1(5(1(0(4(0(3(1(x1)))))))))) -> 1(3(0(0(0(1(4(2(4(1(1(x1))))))))))) 4(3(2(1(2(0(1(0(3(3(x1)))))))))) -> 0(1(5(5(0(2(0(3(3(x1))))))))) 1(4(2(0(2(3(1(3(4(0(4(x1))))))))))) -> 0(4(2(5(2(0(3(2(5(4(1(x1))))))))))) 3(2(4(5(3(3(4(1(5(4(0(3(x1)))))))))))) -> 3(0(4(1(5(1(3(3(3(4(3(x1))))))))))) 4(0(3(3(3(1(4(2(2(1(0(2(x1)))))))))))) -> 4(0(4(2(2(2(2(4(4(2(1(0(1(x1))))))))))))) 1(0(2(3(3(2(5(2(1(3(3(1(4(x1))))))))))))) -> 0(3(3(4(0(0(0(2(3(3(3(0(x1)))))))))))) 1(2(5(3(5(2(4(1(0(2(4(3(2(x1))))))))))))) -> 5(3(1(4(3(2(2(0(0(5(3(4(x1)))))))))))) 2(2(0(3(2(2(3(1(1(1(1(0(4(x1))))))))))))) -> 2(2(3(0(2(4(5(0(3(3(2(1(1(x1))))))))))))) 3(0(1(0(0(5(3(5(2(0(1(0(2(x1))))))))))))) -> 2(3(2(5(5(2(1(2(2(0(4(4(5(2(x1)))))))))))))) 4(2(4(3(3(0(1(0(3(3(2(1(0(x1))))))))))))) -> 4(5(4(0(3(1(4(2(5(1(5(2(0(x1))))))))))))) 3(1(4(3(5(5(1(2(5(1(3(2(2(0(4(x1))))))))))))))) -> 3(5(5(5(2(3(4(1(3(4(2(0(0(2(2(x1))))))))))))))) 2(3(5(4(0(1(3(4(4(4(2(5(4(4(1(2(x1)))))))))))))))) -> 4(2(0(0(0(0(5(2(5(1(3(3(2(1(x1)))))))))))))) 1(2(3(0(5(4(4(0(1(2(0(5(0(3(0(4(4(x1))))))))))))))))) -> 1(4(0(1(0(2(4(4(5(3(0(2(1(0(1(2(x1)))))))))))))))) 1(3(2(4(1(1(5(5(1(2(0(2(0(2(2(4(1(x1))))))))))))))))) -> 1(0(2(4(3(5(2(1(1(1(0(1(5(4(0(1(x1)))))))))))))))) 1(3(5(2(3(5(1(2(0(5(0(4(2(4(3(3(0(x1))))))))))))))))) -> 5(5(2(0(0(0(5(5(2(1(4(4(3(0(1(0(x1)))))))))))))))) 1(4(1(3(0(5(4(1(2(3(0(3(5(4(4(1(4(2(x1)))))))))))))))))) -> 1(3(1(3(2(2(0(0(5(1(4(1(5(5(1(5(1(x1))))))))))))))))) 3(1(0(2(1(3(5(4(3(5(5(2(4(5(3(0(0(2(x1)))))))))))))))))) -> 2(2(2(0(2(3(1(4(5(3(5(4(4(4(0(4(0(5(x1)))))))))))))))))) 3(4(1(2(3(1(3(5(0(4(0(1(1(5(5(2(2(3(x1)))))))))))))))))) -> 0(3(5(2(3(2(0(0(0(0(4(0(0(5(3(2(3(x1))))))))))))))))) 5(2(4(3(2(3(1(5(5(1(3(0(5(1(5(1(4(4(x1)))))))))))))))))) -> 5(5(5(4(4(4(2(5(0(0(3(4(2(1(5(4(5(2(x1)))))))))))))))))) 3(4(3(1(0(0(5(5(2(0(2(3(0(1(4(0(1(2(2(x1))))))))))))))))))) -> 0(5(2(2(1(0(3(1(4(5(3(2(2(1(5(4(4(2(1(x1))))))))))))))))))) 4(2(3(0(0(3(5(1(0(4(0(0(3(5(2(2(5(2(2(x1))))))))))))))))))) -> 5(5(4(5(3(2(2(0(2(2(5(2(0(5(4(4(4(0(1(x1))))))))))))))))))) 4(2(5(1(0(4(4(2(2(5(5(3(4(3(2(3(4(1(4(x1))))))))))))))))))) -> 4(0(4(2(3(3(2(2(1(4(4(0(3(0(0(5(1(1(x1)))))))))))))))))) 2(4(4(0(4(2(1(1(0(4(3(2(2(0(3(4(4(5(2(4(4(x1))))))))))))))))))))) -> 2(4(1(4(3(0(3(5(4(5(4(2(1(3(0(5(2(4(0(3(2(x1))))))))))))))))))))) 5(2(0(5(3(4(0(2(3(5(0(2(3(2(1(5(0(1(5(0(3(x1))))))))))))))))))))) -> 5(5(3(2(1(4(1(3(5(0(1(5(0(5(1(4(2(3(0(0(3(x1))))))))))))))))))))) Proof: Bounds Processor: bound: 1 enrichment: match automaton: final states: {349,329,313,297,280,265,249,231,215,201,187,172,160, 146,134,121,110,101,90,78,68,58,49,40,32,25,18,11,5, 1} transitions: 50(309) -> 310* 50(213) -> 214* 50(73) -> 74* 50(272) -> 273* 50(2) -> 232* 50(178) -> 179* 50(55) -> 56* 50(188) -> 189* 50(12) -> 13* 50(312) -> 297* 50(130) -> 131* 50(214) -> 201* 50(33) -> 122* 50(64) -> 65* 50(109) -> 101* 50(262) -> 263* 50(114) -> 115* 50(144) -> 145* 50(367) -> 368* 50(163) -> 164* 50(302) -> 303* 50(195) -> 196* 50(158) -> 159* 50(311) -> 312* 50(137) -> 138* 50(240) -> 241* 50(31) -> 25* 50(217) -> 218* 50(165) -> 166* 50(3) -> 216* 50(16) -> 17* 50(251) -> 252* 50(357) -> 358* 50(156) -> 157* 50(339) -> 340* 50(207) -> 208* 50(360) -> 361* 50(7) -> 8* 50(295) -> 296* 50(4) -> 314* 50(54) -> 55* 50(355) -> 356* 50(157) -> 158* 50(333) -> 334* 50(59) -> 60* 50(282) -> 283* 50(129) -> 130* 50(222) -> 223* 50(368) -> 349* 50(208) -> 209* 50(123) -> 266* 50(278) -> 279* 50(279) -> 265* 50(135) -> 136* 50(287) -> 288* 50(218) -> 219* 50(341) -> 342* 50(277) -> 278* 50(238) -> 239* 50(299) -> 300* 50(29) -> 30* 11(379) -> 380* 11(369) -> 370* 11(370) -> 371* 00(102) -> 103* 00(182) -> 183* 00(168) -> 169* 00(169) -> 170* 00(148) -> 149* 00(88) -> 89* 00(296) -> 280* 00(199) -> 200* 00(327) -> 328* 00(210) -> 211* 00(190) -> 191* 00(253) -> 254* 00(44) -> 45* 00(343) -> 344* 00(209) -> 210* 00(270) -> 271* 00(142) -> 143* 00(57) -> 49* 00(45) -> 46* 00(33) -> 34* 00(305) -> 306* 00(173) -> 174* 00(94) -> 95* 00(62) -> 63* 00(256) -> 257* 00(53) -> 54* 00(100) -> 90* 00(245) -> 246* 00(176) -> 177* 00(211) -> 212* 00(147) -> 148* 00(264) -> 249* 00(3) -> 79* 00(223) -> 224* 00(315) -> 316* 00(96) -> 97* 00(76) -> 77* 00(234) -> 235* 00(37) -> 38* 00(26) -> 202* 00(334) -> 335* 00(124) -> 125* 00(8) -> 102* 00(4) -> 1* 00(291) -> 292* 00(350) -> 351* 00(113) -> 114* 00(255) -> 256* 00(252) -> 253* 00(232) -> 233* 00(166) -> 167* 00(67) -> 58* 00(314) -> 315* 00(95) -> 96* 00(50) -> 350* 00(359) -> 360* 00(356) -> 357* 00(271) -> 272* 00(184) -> 185* 00(300) -> 301* 00(10) -> 5* 00(258) -> 259* 00(257) -> 258* 00(224) -> 225* 00(117) -> 118* 00(28) -> 29* 00(46) -> 47* 00(330) -> 331* 00(317) -> 318* 00(51) -> 52* 00(167) -> 168* 00(2) -> 12* 40(35) -> 36* 40(153) -> 154* 40(122) -> 123* 40(288) -> 289* 40(171) -> 160* 40(81) -> 82* 40(75) -> 76* 40(3) -> 59* 40(237) -> 238* 40(145) -> 134* 40(328) -> 313* 40(180) -> 181* 40(241) -> 242* 40(204) -> 205* 40(274) -> 275* 40(268) -> 269* 40(66) -> 67* 40(363) -> 364* 40(197) -> 198* 40(236) -> 237* 40(79) -> 188* 40(276) -> 277* 40(97) -> 98* 40(139) -> 140* 40(23) -> 24* 40(281) -> 282* 40(347) -> 348* 40(143) -> 144* 40(36) -> 37* 40(298) -> 299* 40(106) -> 107* 40(203) -> 204* 40(123) -> 124* 40(89) -> 78* 40(8) -> 9* 40(185) -> 186* 40(150) -> 151* 40(345) -> 346* 40(233) -> 234* 40(220) -> 221* 40(254) -> 255* 40(353) -> 354* 40(115) -> 116* 40(4) -> 41* 40(87) -> 88* 40(50) -> 69* 40(319) -> 320* 40(42) -> 43* 40(310) -> 311* 40(19) -> 281* 40(318) -> 319* 40(326) -> 327* 40(179) -> 180* 40(275) -> 276* 40(340) -> 341* 40(188) -> 298* 40(338) -> 339* 40(82) -> 83* 40(235) -> 236* 40(2) -> 6* 40(331) -> 332* 40(20) -> 21* 01(371) -> 372* 20(38) -> 39* 20(12) -> 135* 20(103) -> 104* 20(226) -> 227* 20(104) -> 105* 20(306) -> 307* 20(194) -> 195* 20(325) -> 326* 20(294) -> 295* 20(85) -> 86* 20(164) -> 165* 20(348) -> 329* 20(246) -> 247* 20(2) -> 33* 20(116) -> 117* 20(259) -> 260* 20(14) -> 15* 20(225) -> 226* 20(181) -> 182* 20(4) -> 111* 20(261) -> 262* 20(63) -> 64* 20(13) -> 14* 20(126) -> 127* 20(149) -> 150* 20(39) -> 32* 20(322) -> 323* 20(284) -> 285* 20(247) -> 248* 20(84) -> 85* 20(119) -> 120* 20(60) -> 61* 20(131) -> 132* 20(248) -> 231* 20(27) -> 28* 20(198) -> 199* 20(83) -> 84* 20(9) -> 10* 20(332) -> 333* 20(128) -> 129* 20(304) -> 305* 20(155) -> 156* 20(138) -> 139* 20(293) -> 294* 20(170) -> 171* 20(133) -> 121* 20(352) -> 353* 20(206) -> 207* 20(52) -> 53* 20(285) -> 286* 20(80) -> 81* 20(50) -> 250* 20(93) -> 94* 20(26) -> 27* 20(273) -> 274* 20(337) -> 338* 20(307) -> 308* 20(267) -> 268* 20(125) -> 126* 20(321) -> 322* 20(365) -> 366* 20(33) -> 147* 20(303) -> 304* 20(86) -> 87* 20(3) -> 19* 20(41) -> 42* 20(120) -> 110* 20(301) -> 302* 20(212) -> 213* 20(19) -> 20* 20(65) -> 66* 20(175) -> 176* 20(244) -> 245* 10(186) -> 172* 10(22) -> 23* 10(364) -> 365* 10(362) -> 363* 10(354) -> 355* 10(2) -> 3* 10(336) -> 337* 10(48) -> 40* 10(74) -> 75* 10(15) -> 16* 10(127) -> 128* 10(193) -> 194* 10(189) -> 190* 10(72) -> 73* 10(162) -> 163* 10(192) -> 193* 10(12) -> 26* 10(191) -> 192* 10(221) -> 222* 10(140) -> 141* 10(266) -> 267* 10(3) -> 4* 10(56) -> 57* 10(228) -> 229* 10(283) -> 284* 10(242) -> 243* 10(152) -> 153* 10(79) -> 80* 10(107) -> 108* 10(43) -> 44* 10(320) -> 321* 10(358) -> 359* 10(174) -> 175* 10(205) -> 206* 10(136) -> 137* 10(292) -> 293* 10(230) -> 215* 10(289) -> 290* 10(183) -> 184* 10(30) -> 31* 10(216) -> 217* 10(200) -> 187* 10(346) -> 347* 10(219) -> 220* 10(33) -> 173* 30(112) -> 113* 30(141) -> 142* 30(159) -> 146* 30(154) -> 155* 30(17) -> 11* 30(47) -> 48* 30(196) -> 197* 30(33) -> 330* 30(323) -> 324* 30(161) -> 162* 30(108) -> 109* 30(286) -> 287* 30(316) -> 317* 30(2) -> 50* 30(177) -> 178* 30(111) -> 112* 30(151) -> 152* 30(344) -> 345* 30(239) -> 240* 30(71) -> 72* 30(308) -> 309* 30(324) -> 325* 30(269) -> 270* 30(6) -> 7* 30(69) -> 70* 30(50) -> 51* 30(243) -> 244* 30(260) -> 261* 30(91) -> 92* 30(351) -> 352* 30(61) -> 62* 30(250) -> 251* 30(202) -> 203* 30(92) -> 93* 30(98) -> 99* 30(19) -> 161* 30(34) -> 35* 30(361) -> 362* 30(118) -> 119* 30(342) -> 343* 30(21) -> 22* 30(24) -> 18* 30(12) -> 91* 30(227) -> 228* 30(335) -> 336* 30(229) -> 230* 30(105) -> 106* 30(77) -> 68* 30(99) -> 100* 30(366) -> 367* 30(290) -> 291* 30(263) -> 264* 30(132) -> 133* 30(70) -> 71* f60() -> 2* 372 -> 174* 215 -> 3* 68 -> 50,330 160 -> 33,250 231 -> 50* 265 -> 232,122 11 -> 6* 313 -> 6* 249 -> 50,7 121 -> 50,91,203 172 -> 3,173 201 -> 3* 349 -> 232,122,136 58 -> 3* 38 -> 369* 297 -> 6,354 101 -> 3,173 40 -> 3,217 1 -> 12,79,174 380 -> 370* 49 -> 6,69 90 -> 3,26 110 -> 33,147 5 -> 3* 134 -> 6* 187 -> 3* 146 -> 50* 18 -> 232,122,136 119 -> 379* 32 -> 33* 25 -> 3,217 280 -> 50,7,70 329 -> 33* 78 -> 6* problem: Qed