/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: f(a()) -> f(c(a()))
    2: f(c(X)) -> X
    3: f(c(a())) -> f(d(b()))
    4: f(a()) -> f(d(a()))
    5: f(d(X)) -> X
    6: f(c(b())) -> f(d(a()))
    7: e(g(X)) -> e(X)
Number of strict rules: 7
Direct poly ... removes: 5 7 2
  a()		w: (5854)
  d(x1)		w: (x1)
  b()		w: (5854)
  c(x1)		w: (x1)
  f(x1)		w: (30614 + x1)
  e(x1)		w: (28100 + 2 * x1)
  g(x1)		w: (1 + x1)
Number of strict rules: 4
Direct poly ... failed.
Freezing f
1: f❆1_a() -> f❆1_c(a())
3: f❆1_c(a()) -> f❆1_d(b())
4: f❆1_a() -> f❆1_d(a())
6: f❆1_c(b()) -> f❆1_d(a())
8: f(a()) ->= f❆1_a()
9: f(d(_1)) ->= f❆1_d(_1)
10: f(c(_1)) ->= f❆1_c(_1)
Number of strict rules: 4
Direct poly ... removes: 4 8 1 3 10 9 6
  a()		w: (1)
  d(x1)		w: (1 + x1)
  b()		w: (1)
  c(x1)		w: (1 + 2 * x1)
  f❆1_c(x1)		w: (7723 + 2 * x1)
  f(x1)		w: (7726 + x1)
  e(x1)		w: (x1)
  f❆1_d(x1)		w: (3 + x1)
  f❆1_a()		w: (7726)
  g(x1)		w: (x1)
Number of strict rules: 0