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