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