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