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