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