/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__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 poly ... removes: 4 3 5 2
  and(x1,x2)		w: (1 + x2 + x1)
  isNePal(x1)		w: (30615 + x1)
  a____(x1,x2)		w: (5854 + x2 + x1)
  nil()		w: (28101)
  mark(x1)		w: (x1)
  a__isNePal(x1)		w: (30615 + x1)
  tt()		w: (1)
  a__and(x1,x2)		w: (1 + x2 + x1)
  __(x1,x2)		w: (5854 + x2 + x1)
Number of strict rules: 9
Direct poly ... removes: 1
  and(x1,x2)		w: (2 + x2 + x1)
  isNePal(x1)		w: (9726 + x1)
  a____(x1,x2)		w: (1 + x2 + 2 * x1)
  nil()		w: (1)
  mark(x1)		w: (x1)
  a__isNePal(x1)		w: (9726 + x1)
  tt()		w: (1)
  a__and(x1,x2)		w: (2 + x2 + x1)
  __(x1,x2)		w: (1 + x2 + 2 * x1)
Number of strict rules: 8
Direct poly ... removes: 8 10 7 12 11 9 13 6
  and(x1,x2)		w: (12619 + x2 + x1)
  isNePal(x1)		w: (9726 + 2 * x1)
  a____(x1,x2)		w: (5 + 2 * x2 + x1)
  nil()		w: (12457)
  mark(x1)		w: (1 + 2 * x1)
  a__isNePal(x1)		w: (9727 + 2 * x1)
  tt()		w: (1)
  a__and(x1,x2)		w: (12620 + x2 + x1)
  __(x1,x2)		w: (4 + 2 * x2 + x1)
Number of strict rules: 0