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