/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(n__f(n__a())) -> f(n__g(n__f(n__a())))
    2: f(X) -> n__f(X)
    3: a() -> n__a()
    4: g(X) -> n__g(X)
    5: activate(n__f(X)) -> f(X)
    6: activate(n__a()) -> a()
    7: activate(n__g(X)) -> g(activate(X))
    8: activate(X) -> X
Number of strict rules: 8
Direct poly ... removes: 8 3 5 6 2
  a()		w: (2)
  n__a()		w: (1)
  activate(x1)		w: (30617 + x1)
  f(x1)		w: (10452 + x1)
  n__f(x1)		w: (10451 + x1)
  n__g(x1)		w: (x1)
  g(x1)		w: (x1)
Number of strict rules: 3
Direct poly ... failed.
Freezing f
1: f❆1_n__f(n__a()) -> f❆1_n__g(n__f(n__a()))
4: g(X) -> n__g(X)
7: activate(n__g(X)) -> g(activate(X))
9: f(n__f(_1)) ->= f❆1_n__f(_1)
10: f(n__g(_1)) ->= f❆1_n__g(_1)
Number of strict rules: 3
Direct poly ... removes: 4 1 10 7 9
  a()		w: (0)
  n__a()		w: (1)
  f❆1_n__f(x1)		w: (10452 + 2 * x1)
  f❆1_n__g(x1)		w: (10450 + x1)
  activate(x1)		w: (1 + 2 * x1)
  f(x1)		w: (10451 + 2 * x1)
  n__f(x1)		w: (1 + 2 * x1)
  n__g(x1)		w: (3 + 2 * x1)
  g(x1)		w: (4 + 2 * x1)
Number of strict rules: 0