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