YES Problem: 0(0(1(0(x1)))) -> 0(0(2(0(x1)))) 3(2(3(3(x1)))) -> 3(1(4(x1))) 1(3(4(2(2(x1))))) -> 1(5(0(1(x1)))) 1(2(5(1(3(3(x1)))))) -> 3(1(3(5(4(x1))))) 1(3(3(5(5(2(x1)))))) -> 1(5(0(1(4(x1))))) 1(3(5(0(4(4(x1)))))) -> 2(5(2(2(5(4(x1)))))) 5(0(3(4(1(5(x1)))))) -> 5(5(2(2(2(5(x1)))))) 0(1(0(4(3(2(0(3(x1)))))))) -> 0(1(3(5(1(5(4(x1))))))) 4(2(2(3(5(4(3(3(x1)))))))) -> 4(1(4(5(5(5(1(x1))))))) 5(1(1(2(1(2(1(0(2(x1))))))))) -> 5(2(5(3(5(0(4(1(x1)))))))) 1(2(1(4(4(4(5(5(2(0(x1)))))))))) -> 1(0(0(0(3(4(5(3(2(0(x1)))))))))) 2(1(5(1(2(4(4(1(0(2(x1)))))))))) -> 2(2(0(3(2(2(1(2(4(1(x1)))))))))) 4(1(0(4(1(3(1(0(1(1(4(x1))))))))))) -> 5(1(0(0(0(5(1(3(4(3(1(x1))))))))))) 4(3(3(3(0(5(5(2(5(5(0(x1))))))))))) -> 4(3(3(2(2(5(0(2(3(4(0(x1))))))))))) 4(5(0(1(1(5(2(3(1(2(5(x1))))))))))) -> 4(4(0(3(4(4(2(3(4(2(5(x1))))))))))) 5(5(4(4(5(0(1(5(3(4(0(x1))))))))))) -> 0(0(0(5(0(3(1(0(0(4(3(0(x1)))))))))))) 4(3(1(1(3(1(4(3(1(2(4(1(x1)))))))))))) -> 3(4(1(1(3(2(2(1(1(2(3(4(x1)))))))))))) 1(0(1(0(5(4(2(3(0(1(4(0(2(x1))))))))))))) -> 3(3(2(1(2(3(4(5(4(3(0(0(1(x1))))))))))))) 3(3(4(5(2(5(5(1(1(2(4(3(0(x1))))))))))))) -> 3(1(2(2(5(2(2(3(3(5(0(4(0(x1))))))))))))) 0(3(0(5(2(1(3(0(5(2(0(3(0(3(x1)))))))))))))) -> 2(3(3(4(1(1(0(1(3(5(0(3(4(x1))))))))))))) 4(4(2(2(5(1(3(3(3(5(3(4(2(1(x1)))))))))))))) -> 4(2(1(2(4(5(0(2(2(5(1(1(2(1(x1)))))))))))))) 1(3(1(1(2(2(2(0(0(1(2(0(5(1(2(x1))))))))))))))) -> 0(5(5(3(5(2(1(0(0(4(1(2(3(2(x1)))))))))))))) 4(0(0(4(2(5(3(2(3(0(5(3(5(3(0(4(x1)))))))))))))))) -> 4(5(5(0(2(1(0(1(2(5(4(1(0(1(0(2(x1)))))))))))))))) 0(4(1(5(0(1(3(0(3(1(2(0(5(5(4(0(3(1(x1)))))))))))))))))) -> 5(3(5(3(2(0(5(5(1(1(0(0(1(2(3(4(4(x1))))))))))))))))) 3(5(2(0(1(1(2(3(0(3(4(5(1(1(2(2(4(2(x1)))))))))))))))))) -> 3(2(2(5(2(5(2(5(4(3(4(3(3(4(5(0(5(x1))))))))))))))))) 5(0(2(4(0(4(1(0(4(0(5(5(1(3(1(4(1(2(4(x1))))))))))))))))))) -> 5(4(2(2(3(0(0(4(1(4(3(3(4(4(0(3(4(3(1(x1))))))))))))))))))) 2(3(0(4(5(4(1(2(3(2(4(4(5(4(3(2(0(3(3(2(x1)))))))))))))))))))) -> 1(4(4(0(3(4(1(1(2(4(0(1(3(1(2(4(5(3(4(2(x1)))))))))))))))))))) 5(4(3(5(1(2(4(5(1(5(0(0(4(4(0(3(0(1(4(2(x1)))))))))))))))))))) -> 5(4(4(1(3(2(3(0(1(0(4(4(5(0(0(4(5(5(2(x1))))))))))))))))))) 0(4(1(1(2(2(2(1(5(4(3(5(5(0(0(3(1(1(1(5(4(x1))))))))))))))))))))) -> 0(2(3(4(0(4(2(3(3(2(4(5(5(3(0(4(5(3(1(4(x1)))))))))))))))))))) 5(5(0(2(2(1(5(1(5(2(1(5(2(3(1(3(1(0(4(3(3(x1))))))))))))))))))))) -> 4(4(4(2(5(2(0(2(1(4(0(3(5(1(1(3(0(4(4(4(2(x1))))))))))))))))))))) Proof: Bounds Processor: bound: 1 enrichment: match automaton: final states: {291,274,256,237,222,206,190,175,161,148,137,126,115, 104,93,84,74,64,56,48,41,35,30,24,20,17,13,9,6,1} transitions: 40(309) -> 291* 40(213) -> 214* 40(258) -> 259* 40(272) -> 273* 40(113) -> 114* 40(2) -> 7* 40(253) -> 254* 40(91) -> 92* 40(300) -> 301* 40(38) -> 39* 40(262) -> 263* 40(144) -> 145* 40(250) -> 251* 40(254) -> 255* 40(179) -> 180* 40(292) -> 293* 40(229) -> 230* 40(65) -> 66* 40(224) -> 225* 40(308) -> 309* 40(240) -> 241* 40(165) -> 166* 40(3) -> 75* 40(189) -> 175* 40(40) -> 35* 40(119) -> 120* 40(271) -> 272* 40(307) -> 308* 40(235) -> 236* 40(83) -> 74* 40(156) -> 157* 40(285) -> 286* 40(92) -> 84* 40(10) -> 42* 40(280) -> 281* 40(162) -> 238* 40(275) -> 276* 40(7) -> 191* 40(26) -> 85* 40(117) -> 118* 40(94) -> 95* 40(211) -> 212* 40(50) -> 51* 40(263) -> 264* 40(208) -> 209* 40(88) -> 89* 40(227) -> 228* 40(223) -> 224* 40(287) -> 288* 40(160) -> 148* 40(246) -> 247* 40(238) -> 292* 40(87) -> 88* 31(326) -> 327* 21(316) -> 317* 00(69) -> 70* 00(102) -> 103* 00(194) -> 195* 00(200) -> 201* 00(286) -> 287* 00(77) -> 78* 00(231) -> 232* 00(5) -> 1* 00(266) -> 267* 00(34) -> 30* 00(162) -> 176* 00(186) -> 187* 00(154) -> 155* 00(276) -> 277* 00(174) -> 161* 00(183) -> 184* 00(75) -> 127* 00(42) -> 43* 00(293) -> 294* 00(103) -> 93* 00(195) -> 196* 00(101) -> 102* 00(259) -> 260* 00(52) -> 53* 00(290) -> 274* 00(70) -> 71* 00(141) -> 142* 00(53) -> 54* 00(245) -> 246* 00(11) -> 116* 00(264) -> 265* 00(96) -> 97* 00(61) -> 62* 00(8) -> 18* 00(4) -> 5* 00(25) -> 207* 00(71) -> 72* 00(303) -> 304* 00(252) -> 253* 00(166) -> 167* 00(67) -> 223* 00(99) -> 100* 00(95) -> 96* 00(260) -> 261* 00(54) -> 55* 00(105) -> 138* 00(230) -> 231* 00(10) -> 11* 00(90) -> 91* 00(299) -> 300* 00(177) -> 178* 00(167) -> 168* 00(2) -> 3* 10(7) -> 8* 10(122) -> 123* 10(158) -> 159* 10(196) -> 197* 10(149) -> 150* 10(301) -> 302* 10(248) -> 249* 10(33) -> 34* 10(15) -> 16* 10(178) -> 179* 10(142) -> 143* 10(168) -> 169* 10(39) -> 40* 10(184) -> 185* 10(67) -> 68* 10(197) -> 198* 10(244) -> 245* 10(182) -> 183* 10(107) -> 108* 10(57) -> 58* 10(97) -> 98* 10(265) -> 266* 10(14) -> 31* 10(143) -> 144* 10(296) -> 297* 10(135) -> 136* 10(106) -> 107* 10(270) -> 271* 10(55) -> 48* 10(176) -> 177* 10(12) -> 9* 10(150) -> 151* 10(164) -> 165* 10(242) -> 243* 10(140) -> 141* 10(112) -> 113* 10(249) -> 250* 10(19) -> 17* 10(193) -> 194* 10(295) -> 296* 10(255) -> 237* 10(2) -> 10* 10(228) -> 229* 10(111) -> 112* 10(72) -> 73* 01(315) -> 316* 01(317) -> 318* 01(318) -> 319* 30(232) -> 233* 30(243) -> 244* 30(226) -> 227* 30(282) -> 283* 30(294) -> 295* 30(277) -> 278* 30(85) -> 86* 30(298) -> 299* 30(139) -> 140* 30(116) -> 117* 30(14) -> 15* 30(202) -> 203* 30(225) -> 226* 30(283) -> 284* 30(124) -> 125* 30(191) -> 192* 30(4) -> 49* 30(10) -> 65* 30(81) -> 82* 30(171) -> 172* 30(269) -> 270* 30(204) -> 205* 30(75) -> 76* 30(110) -> 111* 30(136) -> 126* 30(145) -> 146* 30(60) -> 61* 30(82) -> 83* 30(128) -> 129* 30(114) -> 104* 30(238) -> 239* 30(288) -> 289* 30(89) -> 90* 30(8) -> 6* 30(66) -> 67* 30(267) -> 268* 30(32) -> 33* 30(125) -> 115* 30(98) -> 99* 30(129) -> 130* 30(44) -> 45* 30(7) -> 105* 30(251) -> 252* 30(3) -> 94* 30(120) -> 121* 30(210) -> 211* 30(146) -> 147* 30(162) -> 163* 30(209) -> 210* 30(212) -> 213* 30(16) -> 13* 30(51) -> 52* 30(221) -> 206* 41(324) -> 325* 20(157) -> 158* 20(153) -> 154* 20(233) -> 234* 20(302) -> 303* 20(2) -> 162* 20(10) -> 149* 20(133) -> 134* 20(62) -> 63* 20(181) -> 182* 20(21) -> 22* 20(27) -> 28* 20(215) -> 216* 20(80) -> 81* 20(192) -> 193* 20(304) -> 305* 20(25) -> 26* 20(163) -> 164* 20(234) -> 235* 20(121) -> 122* 20(284) -> 285* 20(3) -> 4* 20(268) -> 269* 20(46) -> 47* 20(185) -> 186* 20(109) -> 110* 20(131) -> 132* 20(201) -> 202* 20(152) -> 153* 20(79) -> 80* 20(247) -> 248* 20(134) -> 135* 20(220) -> 221* 20(105) -> 106* 20(217) -> 218* 20(281) -> 282* 20(130) -> 131* 20(58) -> 59* 20(169) -> 170* 20(108) -> 109* 20(86) -> 87* 20(147) -> 137* 20(159) -> 160* 20(59) -> 60* 20(289) -> 290* 20(63) -> 56* 20(14) -> 21* 20(76) -> 77* 20(42) -> 57* 20(123) -> 124* 20(306) -> 307* 20(26) -> 27* 20(23) -> 20* 20(241) -> 242* 20(219) -> 220* 11(325) -> 326* 50(257) -> 258* 50(203) -> 204* 50(100) -> 101* 50(187) -> 188* 50(207) -> 208* 50(47) -> 41* 50(10) -> 36* 50(78) -> 79* 50(29) -> 24* 50(28) -> 29* 50(37) -> 38* 50(170) -> 171* 50(36) -> 37* 50(45) -> 46* 50(2) -> 25* 50(43) -> 44* 50(218) -> 219* 50(162) -> 257* 50(151) -> 152* 50(279) -> 280* 50(49) -> 50* 50(239) -> 240* 50(216) -> 217* 50(127) -> 128* 50(11) -> 12* 50(6) -> 275* 50(214) -> 215* 50(199) -> 200* 50(173) -> 174* 50(22) -> 23* 50(73) -> 64* 50(7) -> 14* 50(188) -> 189* 50(205) -> 190* 50(118) -> 119* 50(278) -> 279* 50(172) -> 173* 50(68) -> 69* 50(273) -> 256* 50(198) -> 199* 50(18) -> 19* 50(155) -> 156* 50(297) -> 298* 50(305) -> 306* 50(261) -> 262* 50(236) -> 222* 50(180) -> 181* 50(132) -> 133* 50(138) -> 139* 50(31) -> 32* f60() -> 2* 291 -> 25* 327 -> 94* 56 -> 162,149 24 -> 25,139 74 -> 7* 148 -> 7,191,292 190 -> 3,43 17 -> 10* 48 -> 10,150 256 -> 25,14 115 -> 10* 35 -> 7,238 64 -> 7,42 137 -> 3* 30 -> 3,11 104 -> 7,66 93 -> 25* 237 -> 162* 54 -> 315* 6 -> 163* 161 -> 10* 222 -> 25* 13 -> 10* 1 -> 3,116 20 -> 10* 175 -> 7,75 319 -> 116* 9 -> 10* 41 -> 25,36,152 145 -> 324* 84 -> 7* 274 -> 3,43 problem: Qed