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

Proof:
 Bounds Processor:
  bound: 1
  enrichment: match
  automaton:
   final states: {161,156,155,152,148,142,140,137,136,132,128,123,118,
                  116,113,112,109,108,104,100,98,95,91,87,86,82,78,73,
                  70,64,60,56,50,48,44,42,37,32,28,24,22,19,16,11,7,1}
   transitions:
    f60() -> 2*
    00(75) -> 76*
    00(65) -> 66*
    00(15) -> 11*
    00(10) -> 7*
    00(52) -> 53*
    00(17) -> 18*
    00(2) -> 51*
    00(164) -> 161*
    00(139) -> 137*
    00(134) -> 135*
    00(124) -> 125*
    00(119) -> 149*
    00(79) -> 133*
    00(29) -> 30*
    00(4) -> 5*
    00(121) -> 122*
    00(101) -> 102*
    00(46) -> 47*
    00(36) -> 32*
    00(31) -> 28*
    00(6) -> 1*
    00(143) -> 144*
    00(93) -> 94*
    00(38) -> 39*
    00(8) -> 20*
    00(3) -> 25*
    00(160) -> 156*
    00(130) -> 131*
    00(105) -> 106*
    00(80) -> 81*
    10(65) -> 79*
    10(40) -> 49*
    10(30) -> 31*
    10(5) -> 6*
    10(122) -> 118*
    10(97) -> 95*
    10(77) -> 73*
    10(67) -> 68*
    10(62) -> 63*
    10(57) -> 71*
    10(27) -> 24*
    10(12) -> 13*
    10(2) -> 74*
    10(154) -> 152*
    10(114) -> 115*
    10(99) -> 98*
    10(94) -> 91*
    10(54) -> 55*
    10(39) -> 40*
    10(34) -> 35*
    10(9) -> 10*
    10(151) -> 148*
    10(141) -> 140*
    10(131) -> 128*
    10(106) -> 107*
    10(81) -> 117*
    10(41) -> 37*
    10(21) -> 19*
    10(138) -> 139*
    10(103) -> 100*
    10(88) -> 89*
    10(83) -> 84*
    10(78) -> 136*
    10(73) -> 86*
    10(58) -> 59*
    10(43) -> 42*
    10(23) -> 22*
    10(18) -> 16*
    10(8) -> 45*
    10(125) -> 126*
    10(110) -> 111*
    20(65) -> 92*
    20(55) -> 50*
    20(40) -> 41*
    20(35) -> 36*
    20(25) -> 26*
    20(20) -> 21*
    20(127) -> 123*
    20(107) -> 104*
    20(92) -> 93*
    20(72) -> 70*
    20(47) -> 44*
    20(12) -> 33*
    20(2) -> 3*
    20(149) -> 150*
    20(119) -> 120*
    20(69) -> 64*
    20(59) -> 56*
    20(49) -> 48*
    20(39) -> 114*
    20(14) -> 15*
    20(66) -> 129*
    20(51) -> 52*
    20(158) -> 159*
    20(68) -> 69*
    20(63) -> 60*
    20(33) -> 101*
    20(13) -> 14*
    20(8) -> 9*
    20(3) -> 4*
    20(120) -> 121*
    20(105) -> 153*
    20(95) -> 155*
    30(45) -> 46*
    30(25) -> 61*
    30(5) -> 23*
    30(147) -> 142*
    30(117) -> 116*
    30(92) -> 105*
    30(57) -> 58*
    30(52) -> 57*
    30(2) -> 12*
    30(4) -> 17*
    30(96) -> 97*
    30(66) -> 67*
    30(26) -> 27*
    30(21) -> 141*
    30(93) -> 110*
    30(53) -> 54*
    30(33) -> 34*
    30(3) -> 8*
    30(150) -> 151*
    30(120) -> 138*
    30(95) -> 108*
    40(65) -> 124*
    40(92) -> 162*
    40(2) -> 143*
    40(159) -> 160*
    40(129) -> 130*
    40(89) -> 90*
    40(84) -> 85*
    40(79) -> 80*
    40(74) -> 75*
    40(4) -> 29*
    40(111) -> 109*
    40(71) -> 72*
    40(163) -> 164*
    40(133) -> 134*
    40(3) -> 38*
    40(145) -> 146*
    50(65) -> 157*
    50(30) -> 43*
    50(162) -> 163*
    50(157) -> 158*
    50(102) -> 103*
    50(2) -> 65*
    50(144) -> 145*
    50(9) -> 99*
    50(4) -> 96*
    50(146) -> 147*
    50(126) -> 127*
    50(81) -> 78*
    50(76) -> 77*
    50(61) -> 62*
    50(51) -> 83*
    50(31) -> 112*
    50(153) -> 154*
    50(83) -> 88*
    50(3) -> 119*
    50(135) -> 132*
    50(115) -> 113*
    50(90) -> 87*
    50(85) -> 82*
    11(247) -> 248*
    11(237) -> 238*
    11(259) -> 260*
    11(174) -> 175*
    11(301) -> 302*
    11(288) -> 289*
    11(233) -> 234*
    11(203) -> 204*
    11(188) -> 189*
    51(299) -> 300*
    51(311) -> 312*
    51(283) -> 284*
    51(285) -> 286*
    51(245) -> 246*
    01(212) -> 213*
    01(202) -> 203*
    01(249) -> 250*
    01(286) -> 287*
    01(261) -> 262*
    01(236) -> 237*
    01(221) -> 222*
    01(273) -> 274*
    01(263) -> 264*
    01(173) -> 174*
    01(175) -> 176*
    41(223) -> 224*
    41(235) -> 236*
    41(302) -> 303*
    21(262) -> 263*
    21(177) -> 178*
    21(172) -> 173*
    21(289) -> 290*
    21(189) -> 190*
    21(321) -> 322*
    21(231) -> 232*
    21(171) -> 172*
    21(323) -> 324*
    21(313) -> 314*
    21(213) -> 214*
    21(315) -> 316*
    21(250) -> 251*
    21(190) -> 191*
    21(185) -> 186*
    21(312) -> 313*
    31(287) -> 288*
    31(282) -> 283*
    31(232) -> 233*
    31(187) -> 188*
    31(264) -> 265*
    31(199) -> 200*
    31(184) -> 185*
    31(201) -> 202*
    31(248) -> 249*
    31(275) -> 276*
    31(215) -> 216*
    1 -> 51*
    2 -> 323*
    7 -> 51*
    11 -> 51*
    16 -> 51*
    19 -> 51*
    22 -> 51*
    24 -> 51*
    28 -> 51*
    31 -> 315*
    32 -> 51*
    37 -> 51*
    42 -> 51*
    44 -> 51*
    48 -> 51*
    50 -> 51*
    56 -> 51*
    60 -> 51*
    64 -> 51*
    65 -> 285,261,187,171
    70 -> 51*
    73 -> 51*
    78 -> 51*
    82 -> 51*
    86 -> 51*
    87 -> 51*
    91 -> 65*
    92 -> 312,65,119
    95 -> 65*
    98 -> 65*
    100 -> 65*
    104 -> 65*
    107 -> 299,273,199,177
    108 -> 65*
    109 -> 65*
    112 -> 65*
    113 -> 65*
    115 -> 321*
    116 -> 51*
    118 -> 51*
    123 -> 51*
    128 -> 51*
    132 -> 51*
    136 -> 51,133
    137 -> 262,51,66
    140 -> 12*
    142 -> 12*
    148 -> 65,83
    152 -> 65*
    156 -> 312,65,119
    161 -> 312,65,119
    172 -> 311,235,221,184
    173 -> 223,201
    174 -> 245,215
    176 -> 133*
    178 -> 172*
    185 -> 247,212
    186 -> 174*
    188 -> 231*
    191 -> 175*
    200 -> 188*
    204 -> 133*
    214 -> 203*
    216 -> 203*
    222 -> 282,185
    224 -> 173*
    234 -> 190*
    238 -> 259,213
    246 -> 203*
    251 -> 133*
    260 -> 250*
    263 -> 275*
    265 -> 259*
    274 -> 262*
    276 -> 301,264
    284 -> 259*
    290 -> 250*
    300 -> 286*
    303 -> 250*
    314 -> 202*
    316 -> 172*
    322 -> 172*
    324 -> 172*
  problem:
   
  Qed