/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/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__and(tt(),X) -> mark(X)
    5: a__isNePal(__(I,__(P,I))) -> tt()
    6: mark(__(X1,X2)) -> a____(mark(X1),mark(X2))
    7: mark(and(X1,X2)) -> a__and(mark(X1),X2)
    8: mark(isNePal(X)) -> a__isNePal(mark(X))
    9: mark(nil()) -> nil()
    10: mark(tt()) -> tt()
    11: a____(X1,X2) -> __(X1,X2)
    12: a__and(X1,X2) -> and(X1,X2)
    13: a__isNePal(X) -> isNePal(X)
Number of strict rules: 13
Direct POLO(bPol) ... removes: 4 3 5 2
      and	w: 2 * x1 + 2 * x2 + 1
      isNePal	w: x1 + 1
      a____	w: x1 + x2 + 6
      nil	w: 1
      mark	w: x1
      a__isNePal	w: x1 + 1
      tt	w: 1
      a__and	w: 2 * x1 + 2 * x2 + 1
      __	w: x1 + x2 + 6
Number of strict rules: 9
Direct POLO(bPol) ... removes: 1
      and	w: x1 + 2 * x2 + 1
      isNePal	w: x1 + 1
      a____	w: 2 * x1 + x2 + 1
      nil	w: 1
      mark	w: x1
      a__isNePal	w: x1 + 1
      tt	w: 1
      a__and	w: x1 + 2 * x2 + 1
      __	w: 2 * x1 + x2 + 1
Number of strict rules: 8
Direct POLO(bPol) ... removes: 8 10 7 12 11 9 13 6
      and	w: x1 + 2 * x2 + 2
      isNePal	w: x1 + 2
      a____	w: 2 * x1 + x2 + 3
      nil	w: 1
      mark	w: 2 * x1
      a__isNePal	w: x1 + 3
      tt	w: 1
      a__and	w: x1 + 2 * x2 + 3
      __	w: 2 * x1 + x2 + 2
Number of strict rules: 0