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