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


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YES
Input TRS:
    1: a____(__(X,Y),Z) -> a____(mark(X),a____(mark(Y),mark(Z)))
    2: a____(X,nil()) -> mark(X)
    3: a____(nil(),X) -> mark(X)
    4: a__U11(tt()) -> a__U12(tt())
    5: a__U12(tt()) -> tt()
    6: a__isNePal(__(I,__(P,I))) -> a__U11(tt())
    7: mark(__(X1,X2)) -> a____(mark(X1),mark(X2))
    8: mark(U11(X)) -> a__U11(mark(X))
    9: mark(U12(X)) -> a__U12(mark(X))
    10: mark(isNePal(X)) -> a__isNePal(mark(X))
    11: mark(nil()) -> nil()
    12: mark(tt()) -> tt()
    13: a____(X1,X2) -> __(X1,X2)
    14: a__U11(X) -> U11(X)
    15: a__U12(X) -> U12(X)
    16: a__isNePal(X) -> isNePal(X)
Number of strict rules: 16
Direct POLO(bPol) ... removes: 4 1 3 5 6 2
      U11	w: 2 * x1 + 2
      isNePal	w: x1 + 1
      U12	w: 2 * x1 + 1
      a____	w: 2 * x1 + x2 + 6
      nil	w: 1
      mark	w: x1
      a__isNePal	w: x1 + 1
      a__U11	w: 2 * x1 + 2
      a__U12	w: 2 * x1 + 1
      tt	w: 1
      __	w: 2 * x1 + x2 + 6
Number of strict rules: 10
Direct POLO(bPol) ... removes: 15 8 16 10 7 14 12 11 9 13
      U11	w: 2 * x1 + 2
      isNePal	w: x1 + 2
      U12	w: 2 * x1 + 2
      a____	w: 2 * x1 + x2 + 6
      nil	w: 1
      mark	w: 2 * x1
      a__isNePal	w: x1 + 3
      a__U11	w: 2 * x1 + 3
      a__U12	w: 2 * x1 + 3
      tt	w: 1
      __	w: 2 * x1 + x2 + 5
Number of strict rules: 0