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