/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(0(1(x1)))) -> 2(3(2(2(4(2(2(4(0(5(x1))))))))))
 1(0(5(0(x1)))) -> 1(2(2(4(4(4(2(2(1(1(x1))))))))))
 0(3(0(1(4(x1))))) -> 2(2(4(2(4(0(5(5(1(4(x1))))))))))
 0(4(0(1(0(x1))))) -> 2(0(5(1(1(1(1(3(3(5(x1))))))))))
 0(5(0(0(1(x1))))) -> 0(5(1(1(1(4(4(3(1(5(x1))))))))))
 0(0(3(4(5(2(x1)))))) -> 2(3(4(2(4(1(4(2(1(1(x1))))))))))
 0(0(3(5(2(5(x1)))))) -> 2(4(1(1(2(2(5(2(3(5(x1))))))))))
 0(0(4(5(1(0(x1)))))) -> 3(1(4(4(3(1(2(4(1(1(x1))))))))))
 0(0(4(5(1(4(x1)))))) -> 3(4(2(4(1(4(2(0(5(4(x1))))))))))
 0(1(4(5(5(3(x1)))))) -> 2(2(4(4(4(5(0(3(2(4(x1))))))))))
 0(3(0(0(2(5(x1)))))) -> 2(4(0(3(2(4(2(5(2(5(x1))))))))))
 0(4(0(0(2(2(x1)))))) -> 2(2(4(0(3(2(3(0(2(2(x1))))))))))
 0(4(3(1(0(2(x1)))))) -> 2(2(2(4(1(1(0(3(5(2(x1))))))))))
 0(5(0(0(3(4(x1)))))) -> 2(4(2(0(1(4(5(2(2(4(x1))))))))))
 0(5(0(3(4(1(x1)))))) -> 2(4(3(2(1(4(3(1(3(1(x1))))))))))
 1(5(0(0(0(2(x1)))))) -> 1(1(1(5(5(1(5(2(2(4(x1))))))))))
 1(5(5(0(4(1(x1)))))) -> 1(1(4(4(2(4(3(3(2(1(x1))))))))))
 2(1(0(4(5(4(x1)))))) -> 2(2(4(2(1(0(2(3(3(4(x1))))))))))
 4(1(0(0(5(0(x1)))))) -> 4(1(5(1(4(4(1(1(5(1(x1))))))))))
 4(5(0(3(2(2(x1)))))) -> 4(2(2(4(2(5(2(2(4(2(x1))))))))))
 5(0(0(0(4(5(x1)))))) -> 5(0(5(4(1(1(4(4(3(5(x1))))))))))
 5(0(3(5(0(0(x1)))))) -> 5(2(2(3(1(5(1(1(5(5(x1))))))))))
 5(0(4(0(5(0(x1)))))) -> 0(5(4(4(4(2(4(4(2(0(x1))))))))))
 5(0(4(5(4(4(x1)))))) -> 2(1(5(2(4(4(4(1(4(2(x1))))))))))
 5(1(3(5(5(0(x1)))))) -> 5(2(3(2(1(5(4(4(4(1(x1))))))))))
 5(2(5(0(1(2(x1)))))) -> 5(2(4(2(4(0(1(5(2(4(x1))))))))))
 0(0(0(3(4(0(5(x1))))))) -> 0(1(5(4(1(1(5(1(1(5(x1))))))))))
 0(0(3(4(5(0(4(x1))))))) -> 3(2(1(1(5(4(5(3(5(3(x1))))))))))
 0(1(0(3(0(5(3(x1))))))) -> 2(2(0(2(1(4(3(5(5(3(x1))))))))))
 0(1(3(1(3(4(2(x1))))))) -> 5(4(4(2(1(1(1(1(5(4(x1))))))))))
 0(2(5(0(3(0(5(x1))))))) -> 2(4(5(2(4(0(0(1(1(5(x1))))))))))
 0(3(2(0(4(0(1(x1))))))) -> 3(2(0(0(4(2(4(1(3(1(x1))))))))))
 0(3(5(2(0(0(3(x1))))))) -> 2(0(2(3(3(4(3(4(2(3(x1))))))))))
 0(5(3(0(4(0(2(x1))))))) -> 2(2(1(0(5(1(3(2(1(4(x1))))))))))
 0(5(3(2(2(5(0(x1))))))) -> 2(3(2(1(2(2(4(1(5(1(x1))))))))))
 1(0(0(1(0(4(0(x1))))))) -> 1(4(1(3(2(2(1(5(4(5(x1))))))))))
 1(0(0(4(1(1(2(x1))))))) -> 2(2(4(0(2(0(5(4(1(2(x1))))))))))
 1(0(1(1(1(0(4(x1))))))) -> 1(4(1(1(4(0(3(3(0(2(x1))))))))))
 1(0(1(4(5(0(5(x1))))))) -> 4(1(1(1(1(4(1(0(1(5(x1))))))))))
 1(0(4(5(4(5(0(x1))))))) -> 2(2(1(2(0(2(5(3(1(1(x1))))))))))
 1(3(5(4(1(3(3(x1))))))) -> 1(4(4(2(0(1(1(5(3(3(x1))))))))))
 1(5(0(0(3(0(5(x1))))))) -> 1(1(4(1(5(0(5(5(1(5(x1))))))))))
 2(5(1(3(3(0(1(x1))))))) -> 2(1(3(4(3(2(4(5(5(5(x1))))))))))
 4(0(0(1(0(3(4(x1))))))) -> 4(3(2(3(3(1(5(5(2(0(x1))))))))))
 5(0(0(0(0(0(4(x1))))))) -> 2(4(2(1(3(1(1(2(3(2(x1))))))))))
 5(0(0(1(2(5(2(x1))))))) -> 5(2(0(2(2(1(5(4(5(2(x1))))))))))
 5(0(0(3(1(0(4(x1))))))) -> 3(1(2(4(3(4(3(4(2(1(x1))))))))))
 5(0(5(1(0(3(4(x1))))))) -> 5(5(4(1(2(2(2(4(1(5(x1))))))))))
 5(1(0(0(4(3(4(x1))))))) -> 5(4(3(2(3(2(2(5(4(4(x1))))))))))
 5(1(3(0(4(0(0(x1))))))) -> 5(1(4(1(4(5(2(2(3(5(x1))))))))))
 5(2(0(1(0(4(2(x1))))))) -> 2(5(1(1(4(1(1(4(1(2(x1))))))))))

Proof:
 Bounds Processor:
  bound: 0
  enrichment: match
  automaton:
   final states: {427,420,411,403,395,387,378,370,362,354,345,337,329,
                  320,311,302,295,287,278,271,264,256,248,238,230,222,
                  213,205,195,186,178,169,160,151,142,136,127,119,110,
                  100,91,82,73,65,57,50,41,32,22,12,1}
   transitions:
    f60() -> 2*
    20(75) -> 76*
    20(272) -> 273*
    20(267) -> 268*
    20(60) -> 61*
    20(252) -> 253*
    20(40) -> 32*
    20(30) -> 31*
    20(20) -> 21*
    20(15) -> 16*
    20(414) -> 415*
    20(212) -> 205*
    20(5) -> 6*
    20(404) -> 405*
    20(192) -> 193*
    20(384) -> 385*
    20(379) -> 380*
    20(369) -> 362*
    20(364) -> 365*
    20(344) -> 337*
    20(339) -> 340*
    20(132) -> 133*
    20(319) -> 311*
    20(117) -> 118*
    20(299) -> 300*
    20(294) -> 287*
    20(284) -> 285*
    20(254) -> 255*
    20(239) -> 279*
    20(416) -> 417*
    20(209) -> 210*
    20(406) -> 407*
    20(2) -> 101*
    20(199) -> 200*
    20(391) -> 392*
    20(386) -> 378*
    20(159) -> 151*
    20(341) -> 342*
    20(124) -> 125*
    20(109) -> 100*
    20(306) -> 307*
    20(104) -> 105*
    20(301) -> 295*
    20(99) -> 91*
    20(296) -> 297*
    20(89) -> 90*
    20(286) -> 278*
    20(79) -> 80*
    20(276) -> 277*
    20(64) -> 57*
    20(59) -> 60*
    20(246) -> 247*
    20(433) -> 427*
    20(226) -> 227*
    20(24) -> 288*
    20(19) -> 20*
    20(14) -> 15*
    20(413) -> 414*
    20(9) -> 10*
    20(196) -> 197*
    20(393) -> 394*
    20(176) -> 177*
    20(171) -> 172*
    20(156) -> 157*
    20(146) -> 147*
    20(343) -> 344*
    20(126) -> 119*
    20(318) -> 319*
    20(116) -> 117*
    20(101) -> 102*
    20(293) -> 294*
    20(66) -> 67*
    20(56) -> 50*
    20(31) -> 22*
    20(228) -> 229*
    20(218) -> 219*
    20(11) -> 1*
    20(6) -> 7*
    20(405) -> 406*
    20(400) -> 401*
    20(193) -> 194*
    20(390) -> 391*
    20(375) -> 376*
    20(173) -> 174*
    20(158) -> 159*
    20(153) -> 154*
    20(350) -> 351*
    20(118) -> 110*
    20(315) -> 316*
    20(108) -> 109*
    20(305) -> 306*
    20(93) -> 94*
    20(83) -> 120*
    20(270) -> 264*
    20(260) -> 261*
    20(58) -> 421*
    20(255) -> 248*
    20(53) -> 54*
    20(33) -> 58*
    20(28) -> 29*
    20(23) -> 83*
    20(220) -> 221*
    20(13) -> 143*
    20(8) -> 9*
    20(3) -> 92*
    20(175) -> 176*
    20(170) -> 171*
    20(135) -> 127*
    20(297) -> 298*
    20(95) -> 96*
    20(90) -> 82*
    30(277) -> 271*
    30(55) -> 56*
    30(247) -> 238*
    30(10) -> 11*
    30(374) -> 375*
    30(152) -> 153*
    30(72) -> 65*
    30(249) -> 250*
    30(42) -> 43*
    30(239) -> 346*
    30(219) -> 220*
    30(2) -> 239*
    30(396) -> 397*
    30(376) -> 377*
    30(144) -> 145*
    30(129) -> 130*
    30(321) -> 322*
    30(14) -> 338*
    30(398) -> 399*
    30(191) -> 192*
    30(373) -> 374*
    30(111) -> 112*
    30(101) -> 379*
    30(96) -> 97*
    30(288) -> 289*
    30(283) -> 284*
    30(81) -> 73*
    30(415) -> 416*
    30(365) -> 366*
    30(143) -> 144*
    30(133) -> 134*
    30(103) -> 104*
    30(300) -> 301*
    30(83) -> 84*
    30(280) -> 281*
    30(68) -> 69*
    30(240) -> 241*
    30(33) -> 34*
    30(23) -> 152*
    30(417) -> 418*
    30(13) -> 128*
    30(3) -> 33*
    30(402) -> 395*
    30(382) -> 383*
    30(367) -> 368*
    30(322) -> 323*
    30(307) -> 308*
    30(105) -> 106*
    30(282) -> 283*
    40(70) -> 71*
    40(262) -> 263*
    40(242) -> 243*
    40(429) -> 430*
    40(227) -> 228*
    40(424) -> 425*
    40(15) -> 51*
    40(207) -> 208*
    40(202) -> 203*
    40(399) -> 400*
    40(197) -> 198*
    40(182) -> 183*
    40(177) -> 169*
    40(162) -> 296*
    40(359) -> 360*
    40(157) -> 158*
    40(147) -> 148*
    40(324) -> 325*
    40(309) -> 310*
    40(107) -> 108*
    40(87) -> 88*
    40(279) -> 280*
    40(269) -> 270*
    40(52) -> 53*
    40(42) -> 404*
    40(234) -> 235*
    40(27) -> 28*
    40(17) -> 18*
    40(214) -> 215*
    40(7) -> 8*
    40(2) -> 23*
    40(179) -> 180*
    40(174) -> 175*
    40(366) -> 367*
    40(164) -> 165*
    40(351) -> 352*
    40(336) -> 329*
    40(134) -> 135*
    40(331) -> 332*
    40(129) -> 272*
    40(94) -> 95*
    40(281) -> 282*
    40(69) -> 70*
    40(266) -> 267*
    40(261) -> 262*
    40(54) -> 55*
    40(44) -> 45*
    40(29) -> 30*
    40(418) -> 419*
    40(14) -> 66*
    40(408) -> 409*
    40(206) -> 207*
    40(4) -> 5*
    40(201) -> 202*
    40(363) -> 364*
    40(121) -> 122*
    40(111) -> 388*
    40(101) -> 170*
    40(86) -> 87*
    40(76) -> 77*
    40(273) -> 274*
    40(16) -> 17*
    40(208) -> 209*
    40(198) -> 199*
    40(385) -> 386*
    40(168) -> 160*
    40(163) -> 164*
    40(148) -> 149*
    40(143) -> 396*
    40(98) -> 99*
    40(88) -> 89*
    40(78) -> 79*
    40(63) -> 64*
    40(250) -> 251*
    40(43) -> 44*
    40(33) -> 179*
    40(225) -> 226*
    40(23) -> 412*
    40(422) -> 423*
    40(18) -> 19*
    40(215) -> 216*
    40(13) -> 214*
    40(3) -> 303*
    40(200) -> 201*
    40(397) -> 398*
    40(377) -> 370*
    40(352) -> 353*
    40(145) -> 146*
    40(130) -> 131*
    40(327) -> 328*
    40(125) -> 126*
    40(317) -> 318*
    40(115) -> 116*
    40(312) -> 313*
    40(80) -> 81*
    00(237) -> 230*
    00(349) -> 350*
    00(314) -> 315*
    00(112) -> 113*
    00(102) -> 103*
    00(97) -> 98*
    00(274) -> 275*
    00(42) -> 330*
    00(224) -> 225*
    00(204) -> 195*
    00(2) -> 196*
    00(184) -> 185*
    00(356) -> 357*
    00(154) -> 155*
    00(316) -> 317*
    00(291) -> 292*
    00(84) -> 85*
    00(74) -> 75*
    00(49) -> 41*
    00(39) -> 40*
    00(231) -> 265*
    00(323) -> 324*
    00(106) -> 107*
    00(101) -> 321*
    00(253) -> 254*
    00(26) -> 27*
    00(340) -> 341*
    00(123) -> 124*
    00(285) -> 286*
    00(275) -> 276*
    00(265) -> 266*
    00(3) -> 4*
    00(392) -> 393*
    50(25) -> 26*
    50(419) -> 411*
    50(409) -> 410*
    50(197) -> 371*
    50(394) -> 387*
    50(187) -> 363*
    50(172) -> 173*
    50(137) -> 138*
    50(92) -> 93*
    50(42) -> 355*
    50(239) -> 240*
    50(229) -> 222*
    50(426) -> 420*
    50(421) -> 422*
    50(2) -> 3*
    50(194) -> 186*
    50(189) -> 190*
    50(371) -> 372*
    50(346) -> 347*
    50(241) -> 242*
    50(231) -> 232*
    50(24) -> 25*
    50(221) -> 213*
    50(216) -> 217*
    50(388) -> 389*
    50(166) -> 167*
    50(338) -> 339*
    50(313) -> 314*
    50(303) -> 304*
    50(101) -> 111*
    50(268) -> 269*
    50(263) -> 256*
    50(243) -> 244*
    50(410) -> 403*
    50(203) -> 204*
    50(183) -> 184*
    50(355) -> 356*
    50(138) -> 139*
    50(290) -> 291*
    50(83) -> 223*
    50(58) -> 59*
    50(48) -> 49*
    50(240) -> 249*
    50(38) -> 39*
    50(235) -> 236*
    50(432) -> 433*
    50(23) -> 74*
    50(13) -> 161*
    50(412) -> 413*
    50(210) -> 211*
    50(3) -> 187*
    50(185) -> 178*
    50(357) -> 358*
    50(120) -> 121*
    50(85) -> 86*
    10(257) -> 258*
    10(45) -> 46*
    10(35) -> 36*
    10(232) -> 233*
    10(217) -> 218*
    10(389) -> 390*
    10(187) -> 188*
    10(167) -> 168*
    10(162) -> 163*
    10(334) -> 335*
    10(122) -> 123*
    10(304) -> 305*
    10(289) -> 290*
    10(77) -> 78*
    10(67) -> 68*
    10(62) -> 63*
    10(259) -> 260*
    10(47) -> 48*
    10(244) -> 245*
    10(42) -> 231*
    10(37) -> 38*
    10(431) -> 432*
    10(2) -> 13*
    10(401) -> 402*
    10(381) -> 382*
    10(361) -> 354*
    10(149) -> 150*
    10(139) -> 140*
    10(326) -> 327*
    10(114) -> 115*
    10(74) -> 257*
    10(251) -> 252*
    10(236) -> 237*
    10(34) -> 35*
    10(428) -> 429*
    10(423) -> 424*
    10(211) -> 212*
    10(383) -> 384*
    10(181) -> 182*
    10(368) -> 369*
    10(161) -> 162*
    10(358) -> 359*
    10(353) -> 345*
    10(348) -> 349*
    10(141) -> 136*
    10(333) -> 334*
    10(131) -> 132*
    10(328) -> 320*
    10(121) -> 137*
    10(313) -> 428*
    10(308) -> 309*
    10(101) -> 312*
    10(298) -> 299*
    10(71) -> 72*
    10(61) -> 62*
    10(258) -> 259*
    10(51) -> 52*
    10(46) -> 47*
    10(36) -> 37*
    10(233) -> 234*
    10(430) -> 431*
    10(425) -> 426*
    10(223) -> 224*
    10(21) -> 12*
    10(188) -> 189*
    10(380) -> 381*
    10(360) -> 361*
    10(335) -> 336*
    10(330) -> 331*
    10(128) -> 129*
    10(325) -> 326*
    10(113) -> 114*
    10(310) -> 302*
    10(245) -> 246*
    10(23) -> 24*
    10(13) -> 14*
    10(407) -> 408*
    10(3) -> 42*
    10(190) -> 191*
    10(180) -> 181*
    10(372) -> 373*
    10(170) -> 206*
    10(165) -> 166*
    10(155) -> 156*
    10(150) -> 142*
    10(347) -> 348*
    10(342) -> 343*
    10(140) -> 141*
    10(332) -> 333*
    10(292) -> 293*
    1 -> 196*
    12 -> 13*
    22 -> 196*
    32 -> 196*
    41 -> 196,4
    50 -> 196*
    57 -> 196*
    65 -> 196*
    73 -> 196*
    82 -> 196*
    91 -> 196*
    100 -> 196*
    110 -> 196*
    119 -> 196,4
    127 -> 196,4
    136 -> 13,42
    142 -> 13,42,188
    151 -> 101,143
    160 -> 23,214
    169 -> 23,303
    178 -> 3*
    186 -> 3*
    195 -> 3*
    205 -> 3*
    213 -> 3,161
    222 -> 3,111,93
    230 -> 196*
    238 -> 196*
    248 -> 196*
    256 -> 196*
    264 -> 196,321
    271 -> 196*
    278 -> 196,113
    287 -> 196,4
    295 -> 196,4
    302 -> 13*
    311 -> 13*
    320 -> 13*
    329 -> 13*
    337 -> 13*
    345 -> 13*
    354 -> 13,42
    362 -> 101,92
    370 -> 23*
    378 -> 3*
    387 -> 3*
    395 -> 3*
    403 -> 3*
    411 -> 3,161
    420 -> 3,161
    427 -> 3,111,371
  problem:
   
  Qed