/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__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 poly ... removes: 4 3 5 6 2
  U11(x1)		w: (2 + x1)
  isNePal(x1)		w: (1 + x1)
  U12(x1)		w: (1 + x1)
  a____(x1,x2)		w: (5 + x2 + x1)
  nil()		w: (1)
  mark(x1)		w: (x1)
  a__isNePal(x1)		w: (1 + x1)
  a__U11(x1)		w: (2 + x1)
  a__U12(x1)		w: (1 + x1)
  tt()		w: (1)
  __(x1,x2)		w: (5 + x2 + x1)
Number of strict rules: 11
Direct poly ... removes: 1
  U11(x1)		w: (1 + x1)
  isNePal(x1)		w: (31892 + x1)
  U12(x1)		w: (1 + x1)
  a____(x1,x2)		w: (20977 + x2 + 2 * x1)
  nil()		w: (25907)
  mark(x1)		w: (x1)
  a__isNePal(x1)		w: (31892 + x1)
  a__U11(x1)		w: (1 + x1)
  a__U12(x1)		w: (1 + x1)
  tt()		w: (21656)
  __(x1,x2)		w: (20977 + x2 + 2 * x1)
Number of strict rules: 10
Direct poly ... removes: 15 8 16 10 14 12 11 9
  U11(x1)		w: (31892 + x1)
  isNePal(x1)		w: (31892 + x1)
  U12(x1)		w: (2 + x1)
  a____(x1,x2)		w: (x2 + 2 * x1)
  nil()		w: (16908)
  mark(x1)		w: (2 * x1)
  a__isNePal(x1)		w: (31893 + x1)
  a__U11(x1)		w: (31893 + x1)
  a__U12(x1)		w: (3 + x1)
  tt()		w: (1)
  __(x1,x2)		w: (x2 + 2 * x1)
Number of strict rules: 2
Direct poly ... removes: 7 13
  U11(x1)		w: (31892 + x1)
  isNePal(x1)		w: (63477 + x1)
  U12(x1)		w: (19532 + x1)
  a____(x1,x2)		w: (4 + x2 + x1)
  nil()		w: (20585)
  mark(x1)		w: (1 + 2 * x1)
  a__isNePal(x1)		w: (63477 + 2 * x1)
  a__U11(x1)		w: (63489 + x1)
  a__U12(x1)		w: (39063 + 2 * x1)
  tt()		w: (1)
  __(x1,x2)		w: (3 + x2 + x1)
Number of strict rules: 0