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