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