/export/starexec/sandbox2/solver/bin/starexec_run_ttt2 /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES

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

Proof:
 Bounds Processor:
  bound: 0
  enrichment: match
  automaton:
   final states: {87,78,69,60,51,41,32,22,12,1}
   transitions:
    40(2) -> 3*
    40(77) -> 69*
    40(81) -> 82*
    40(80) -> 81*
    40(16) -> 17*
    40(13) -> 79*
    40(90) -> 91*
    40(84) -> 85*
    40(86) -> 78*
    40(46) -> 47*
    40(82) -> 83*
    20(13) -> 33*
    20(58) -> 59*
    20(45) -> 46*
    20(33) -> 34*
    20(14) -> 15*
    20(11) -> 1*
    20(63) -> 64*
    20(21) -> 12*
    20(4) -> 5*
    20(95) -> 87*
    20(65) -> 66*
    20(18) -> 19*
    30(7) -> 8*
    30(53) -> 54*
    30(39) -> 40*
    30(13) -> 61*
    30(27) -> 28*
    30(68) -> 60*
    30(36) -> 37*
    30(70) -> 71*
    30(83) -> 84*
    30(42) -> 52*
    30(44) -> 45*
    30(6) -> 7*
    30(74) -> 75*
    30(25) -> 26*
    30(2) -> 42*
    50(54) -> 55*
    50(28) -> 29*
    50(5) -> 6*
    50(71) -> 72*
    50(75) -> 76*
    50(94) -> 95*
    50(79) -> 80*
    50(29) -> 30*
    50(89) -> 90*
    50(8) -> 9*
    50(93) -> 94*
    50(26) -> 27*
    50(61) -> 62*
    50(92) -> 93*
    50(19) -> 20*
    50(67) -> 68*
    50(31) -> 22*
    00(24) -> 25*
    00(2) -> 23*
    00(10) -> 11*
    00(62) -> 63*
    00(13) -> 14*
    00(20) -> 21*
    00(49) -> 50*
    00(15) -> 16*
    00(72) -> 73*
    00(50) -> 41*
    00(9) -> 10*
    00(64) -> 65*
    00(3) -> 4*
    00(88) -> 89*
    00(43) -> 44*
    00(35) -> 36*
    00(85) -> 86*
    00(59) -> 51*
    00(91) -> 92*
    00(42) -> 43*
    00(23) -> 24*
    10(57) -> 58*
    10(17) -> 18*
    10(47) -> 48*
    10(56) -> 57*
    10(52) -> 53*
    10(37) -> 38*
    10(30) -> 31*
    10(3) -> 88*
    10(2) -> 13*
    10(38) -> 39*
    10(76) -> 77*
    10(66) -> 67*
    10(23) -> 70*
    10(73) -> 74*
    10(40) -> 32*
    10(34) -> 35*
    10(55) -> 56*
    10(48) -> 49*
    f60() -> 2*
    69 -> 3,79
    12 -> 3*
    22 -> 23*
    60 -> 42,52
    1 -> 3*
    41 -> 42,61
    51 -> 42*
    32 -> 13*
    78 -> 3*
  problem:
   
  Qed