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