/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: f(0()) -> cons(0(),n__f(n__s(n__0())))
    2: f(s(0())) -> f(p(s(0())))
    3: p(s(X)) -> X
    4: f(X) -> n__f(X)
    5: s(X) -> n__s(X)
    6: 0() -> n__0()
    7: activate(n__f(X)) -> f(activate(X))
    8: activate(n__s(X)) -> s(activate(X))
    9: activate(n__0()) -> 0()
    10: activate(X) -> X
Number of strict rules: 10
Direct poly ... removes: 4 8 1 3 5 10 7 9 6
  s(x1)		w: (3 + x1)
  activate(x1)		w: (1 + 2 * x1)
  f(x1)		w: (13 + x1)
  n__s(x1)		w: (2 + x1)
  p(x1)		w: (x1)
  0()		w: (6)
  n__f(x1)		w: (7 + x1)
  n__0()		w: (3)
  cons(x1,x2)		w: (x2 + x1)
Number of strict rules: 1
Direct poly ... failed.
Freezing f
2: f❆1_s(0()) -> f❆1_p(s(0()))
11: f(p(_1)) ->= f❆1_p(_1)
12: f(s(_1)) ->= f❆1_s(_1)
Number of strict rules: 1
Direct poly ... removes: 12 11 2
  f❆1_p(x1)		w: (2 * x1)
  s(x1)		w: (1 + 2 * x1)
  activate(x1)		w: (x1)
  f❆1_s(x1)		w: (15443 + 2 * x1)
  f(x1)		w: (15442 + 2 * x1)
  n__s(x1)		w: (x1)
  p(x1)		w: (1 + x1)
  0()		w: (7720)
  n__f(x1)		w: (x1)
  n__0()		w: (0)
  cons(x1,x2)		w: (x2 + x1)
Number of strict rules: 0