/export/starexec/sandbox/solver/bin/starexec_run_ttt2 /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES

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

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