/export/starexec/sandbox/solver/bin/starexec_run_ttt2-1.17+nonreach /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES

Problem:
 0(0(1(x1))) -> 2(0(3(3(0(1(x1))))))
 0(1(0(x1))) -> 0(1(3(4(0(3(x1))))))
 0(1(0(x1))) -> 2(0(3(0(1(4(x1))))))
 0(1(1(x1))) -> 0(3(1(3(1(x1)))))
 0(1(1(x1))) -> 1(3(0(1(4(x1)))))
 0(1(1(x1))) -> 0(1(3(1(3(1(x1))))))
 0(1(1(x1))) -> 1(3(2(1(3(0(x1))))))
 0(1(1(x1))) -> 1(3(3(1(4(0(x1))))))
 0(1(1(x1))) -> 3(0(3(1(5(1(x1))))))
 0(1(1(x1))) -> 5(0(3(1(5(1(x1))))))
 0(5(0(x1))) -> 3(0(3(5(0(x1)))))
 0(5(0(x1))) -> 3(5(0(0(3(x1)))))
 0(5(0(x1))) -> 5(0(3(0(2(x1)))))
 0(5(0(x1))) -> 5(0(3(3(0(x1)))))
 0(5(0(x1))) -> 4(5(0(3(3(0(x1))))))
 0(5(0(x1))) -> 4(5(0(3(5(0(x1))))))
 0(5(0(x1))) -> 5(3(0(1(3(0(x1))))))
 2(0(0(x1))) -> 0(3(0(3(2(x1)))))
 2(0(0(x1))) -> 0(3(3(0(2(3(x1))))))
 2(0(0(x1))) -> 0(3(5(2(0(3(x1))))))
 5(1(0(x1))) -> 3(5(0(1(4(3(x1))))))
 5(1(0(x1))) -> 3(5(1(4(0(3(x1))))))
 5(1(1(x1))) -> 3(1(5(1(x1))))
 5(1(1(x1))) -> 1(3(1(3(5(x1)))))
 5(1(1(x1))) -> 1(3(3(3(5(1(x1))))))
 5(1(1(x1))) -> 1(3(5(5(1(4(x1))))))
 0(2(0(1(x1)))) -> 0(2(3(3(0(1(x1))))))
 0(5(1(0(x1)))) -> 0(0(1(3(5(x1)))))
 0(5(4(0(x1)))) -> 0(4(5(0(3(x1)))))
 2(0(2(0(x1)))) -> 3(0(3(0(2(2(x1))))))
 2(0(4(1(x1)))) -> 2(3(0(1(4(4(x1))))))
 2(0(5(0(x1)))) -> 0(0(3(5(2(x1)))))
 2(2(4(1(x1)))) -> 3(2(4(3(2(1(x1))))))
 5(1(0(1(x1)))) -> 0(5(1(4(3(1(x1))))))
 5(1(1(0(x1)))) -> 0(5(1(5(1(x1)))))
 5(1(2(0(x1)))) -> 3(1(3(5(0(2(x1))))))
 5(1(5(0(x1)))) -> 5(3(5(0(1(x1)))))
 5(2(0(1(x1)))) -> 5(1(0(3(2(x1)))))
 5(3(1(1(x1)))) -> 5(3(1(3(1(5(x1))))))
 5(4(1(1(x1)))) -> 5(1(4(1(4(5(x1))))))
 5(5(1(0(x1)))) -> 5(0(5(1(3(x1)))))
 5(5(1(1(x1)))) -> 5(1(3(5(0(1(x1))))))
 0(2(4(1(0(x1))))) -> 2(4(0(0(1(3(x1))))))
 0(5(5(1(1(x1))))) -> 5(1(3(5(0(1(x1))))))
 2(2(2(4(1(x1))))) -> 1(2(2(1(4(2(x1))))))
 2(5(0(1(1(x1))))) -> 5(1(2(0(1(3(x1))))))
 5(0(2(4(1(x1))))) -> 5(1(4(0(3(2(x1))))))
 5(2(4(1(0(x1))))) -> 0(2(3(4(5(1(x1))))))
 5(3(0(4(1(x1))))) -> 5(3(0(1(4(1(x1))))))
 5(3(4(1(1(x1))))) -> 1(4(3(5(2(1(x1))))))

Proof:
 Bounds Processor:
  bound: 2
  enrichment: match
  automaton:
   final states: {180,175,171,168,165,160,156,154,150,145,140,138,135,
                  131,129,125,120,116,111,106,103,101,99,95,91,86,41,
                  83,78,74,69,65,62,60,59,56,51,48,44,43,38,33,27,25,
                  24,20,14,8,1}
   transitions:
    31(237) -> 238*
    31(217) -> 218*
    31(212) -> 213*
    31(207) -> 208*
    31(187) -> 188*
    31(319) -> 320*
    31(274) -> 275*
    31(259) -> 260*
    31(239) -> 240*
    31(416) -> 417*
    31(386) -> 387*
    31(346) -> 347*
    31(261) -> 262*
    31(256) -> 257*
    31(186) -> 187*
    31(273) -> 274*
    31(208) -> 209*
    31(325) -> 326*
    31(392) -> 393*
    31(367) -> 368*
    31(322) -> 323*
    31(317) -> 318*
    11(277) -> 278*
    11(262) -> 263*
    11(232) -> 233*
    11(424) -> 425*
    11(354) -> 355*
    11(214) -> 215*
    11(184) -> 185*
    11(418) -> 419*
    11(368) -> 369*
    11(348) -> 349*
    11(298) -> 299*
    11(288) -> 289*
    11(253) -> 254*
    11(238) -> 239*
    11(260) -> 261*
    11(255) -> 256*
    11(205) -> 206*
    51(394) -> 395*
    51(304) -> 305*
    51(279) -> 280*
    51(254) -> 255*
    51(366) -> 367*
    51(236) -> 237*
    51(216) -> 217*
    51(338) -> 339*
    51(278) -> 279*
    51(258) -> 259*
    51(415) -> 416*
    51(400) -> 401*
    51(350) -> 351*
    51(290) -> 291*
    51(402) -> 403*
    01(434) -> 435*
    01(414) -> 415*
    01(369) -> 370*
    01(349) -> 350*
    01(324) -> 325*
    01(426) -> 427*
    01(209) -> 210*
    01(336) -> 337*
    01(206) -> 207*
    01(403) -> 404*
    01(318) -> 319*
    01(188) -> 189*
    01(370) -> 371*
    01(320) -> 321*
    01(235) -> 236*
    01(432) -> 433*
    01(230) -> 231*
    01(215) -> 216*
    01(185) -> 186*
    01(352) -> 353*
    21(234) -> 235*
    21(189) -> 190*
    21(316) -> 317*
    21(413) -> 414*
    21(323) -> 324*
    21(210) -> 211*
    21(337) -> 338*
    41(306) -> 307*
    41(296) -> 297*
    41(276) -> 277*
    41(231) -> 232*
    41(353) -> 354*
    41(213) -> 214*
    41(347) -> 348*
    22(377) -> 378*
    02(376) -> 377*
    02(373) -> 374*
    f60() -> 2*
    32(374) -> 375*
    32(375) -> 376*
    20(30) -> 31*
    20(10) -> 75*
    20(162) -> 163*
    20(157) -> 166*
    20(52) -> 107*
    20(7) -> 1*
    20(2) -> 52*
    20(159) -> 156*
    20(19) -> 14*
    20(9) -> 70*
    20(6) -> 100*
    20(173) -> 174*
    20(163) -> 164*
    20(123) -> 124*
    20(3) -> 121*
    20(115) -> 111*
    12(372) -> 373*
    00(70) -> 71*
    00(30) -> 63*
    00(10) -> 49*
    00(177) -> 178*
    00(157) -> 158*
    00(152) -> 153*
    00(107) -> 108*
    00(102) -> 101*
    00(77) -> 74*
    00(57) -> 58*
    00(52) -> 53*
    00(2) -> 28*
    00(174) -> 171*
    00(119) -> 116*
    00(109) -> 110*
    00(89) -> 102*
    00(54) -> 55*
    00(9) -> 10*
    00(151) -> 157*
    00(66) -> 67*
    00(46) -> 47*
    00(41) -> 42*
    00(26) -> 25*
    00(16) -> 17*
    00(6) -> 7*
    00(128) -> 125*
    00(118) -> 119*
    00(113) -> 114*
    00(73) -> 69*
    00(68) -> 65*
    00(23) -> 20*
    00(18) -> 19*
    00(13) -> 8*
    00(3) -> 4*
    00(130) -> 129*
    00(105) -> 103*
    00(100) -> 99*
    00(80) -> 81*
    30(50) -> 48*
    30(45) -> 46*
    30(40) -> 41*
    30(35) -> 36*
    30(5) -> 6*
    30(172) -> 173*
    30(132) -> 133*
    30(117) -> 118*
    30(97) -> 98*
    30(92) -> 93*
    30(87) -> 88*
    30(82) -> 78*
    30(72) -> 73*
    30(67) -> 68*
    30(52) -> 66*
    30(47) -> 44*
    30(42) -> 38*
    30(22) -> 23*
    30(17) -> 18*
    30(2) -> 9*
    30(134) -> 131*
    30(124) -> 120*
    30(114) -> 115*
    30(89) -> 90*
    30(39) -> 92*
    30(29) -> 57*
    30(4) -> 5*
    30(181) -> 182*
    30(141) -> 142*
    30(136) -> 137*
    30(121) -> 122*
    30(76) -> 77*
    30(71) -> 72*
    30(36) -> 37*
    30(31) -> 32*
    30(11) -> 12*
    30(178) -> 179*
    30(143) -> 144*
    30(108) -> 109*
    30(93) -> 94*
    30(63) -> 64*
    30(53) -> 54*
    30(28) -> 29*
    30(3) -> 21*
    30(110) -> 106*
    30(85) -> 83*
    10(15) -> 16*
    10(142) -> 143*
    10(137) -> 155*
    10(112) -> 113*
    10(87) -> 141*
    10(67) -> 139*
    10(37) -> 33*
    10(32) -> 27*
    10(12) -> 13*
    10(2) -> 3*
    10(169) -> 170*
    10(164) -> 160*
    10(94) -> 91*
    10(79) -> 80*
    10(39) -> 40*
    10(34) -> 35*
    10(29) -> 30*
    10(9) -> 151*
    10(176) -> 177*
    10(166) -> 167*
    10(161) -> 162*
    10(146) -> 147*
    10(126) -> 127*
    10(21) -> 22*
    10(11) -> 84*
    10(183) -> 180*
    10(148) -> 149*
    10(133) -> 134*
    10(98) -> 95*
    10(88) -> 89*
    10(23) -> 26*
    10(18) -> 24*
    10(90) -> 86*
    40(15) -> 112*
    40(10) -> 11*
    40(182) -> 183*
    40(147) -> 148*
    40(122) -> 123*
    40(87) -> 146*
    40(67) -> 169*
    40(52) -> 161*
    40(2) -> 15*
    40(104) -> 105*
    40(39) -> 172*
    40(9) -> 79*
    40(61) -> 60*
    40(56) -> 59*
    40(21) -> 126*
    40(158) -> 159*
    40(28) -> 34*
    40(3) -> 176*
    50(75) -> 76*
    50(55) -> 51*
    50(40) -> 130*
    50(10) -> 104*
    50(167) -> 165*
    50(137) -> 135*
    50(127) -> 128*
    50(52) -> 117*
    50(47) -> 61*
    50(42) -> 43*
    50(2) -> 87*
    50(179) -> 175*
    50(149) -> 145*
    50(144) -> 140*
    50(139) -> 138*
    50(84) -> 85*
    50(64) -> 62*
    50(49) -> 50*
    50(4) -> 136*
    50(151) -> 152*
    50(121) -> 181*
    50(96) -> 97*
    50(81) -> 82*
    50(16) -> 96*
    50(153) -> 150*
    50(58) -> 56*
    50(53) -> 132*
    50(28) -> 45*
    50(3) -> 39*
    50(170) -> 168*
    50(155) -> 154*
    1 -> 28*
    8 -> 28,4
    9 -> 205*
    14 -> 28,4
    20 -> 28,4
    24 -> 28,4
    25 -> 28,4
    27 -> 28,4
    33 -> 28,4
    34 -> 28*
    38 -> 28,4
    41 -> 87,39
    43 -> 28,4
    44 -> 28*
    48 -> 28*
    51 -> 28*
    56 -> 28*
    60 -> 28*
    62 -> 28*
    65 -> 52*
    66 -> 212*
    69 -> 52*
    74 -> 52*
    78 -> 87,39
    83 -> 87,39
    86 -> 87,39
    88 -> 184*
    90 -> 276,258,253
    91 -> 87,39
    94 -> 296,290,288
    95 -> 87,39
    98 -> 306,304,298
    99 -> 28,53
    101 -> 28*
    103 -> 28*
    106 -> 52*
    111 -> 52*
    116 -> 52*
    118 -> 322,316
    120 -> 52,107
    125 -> 87,39
    128 -> 366,346
    129 -> 87,39
    130 -> 400,392
    131 -> 87,39
    135 -> 87,39
    138 -> 87,117
    140 -> 87*
    145 -> 87*
    150 -> 87*
    151 -> 234*
    154 -> 28,87
    156 -> 28,53
    160 -> 52,107
    165 -> 52*
    168 -> 87,45,132
    171 -> 87,117
    175 -> 87*
    180 -> 87*
    190 -> 101*
    211 -> 158*
    213 -> 230*
    218 -> 138*
    233 -> 216*
    240 -> 165*
    254 -> 434*
    255 -> 273*
    257 -> 130*
    263 -> 130*
    275 -> 261*
    280 -> 261*
    289 -> 426,254
    291 -> 259*
    297 -> 277*
    299 -> 432,254
    305 -> 259*
    307 -> 277*
    321 -> 107*
    323 -> 336*
    326 -> 319*
    339 -> 319*
    347 -> 424,352
    349 -> 402*
    351 -> 256*
    355 -> 350*
    368 -> 372*
    370 -> 394,386
    371 -> 129*
    376 -> 413*
    378 -> 371,129
    387 -> 418,347
    393 -> 347*
    395 -> 367*
    401 -> 367*
    404 -> 130*
    417 -> 255*
    419 -> 402*
    425 -> 402*
    427 -> 279*
    433 -> 279*
    435 -> 279*
  problem:
   
  Qed