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