/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: active(c()) -> mark(f(g(c())))
    2: active(f(g(X))) -> mark(g(X))
    3: mark(c()) -> active(c())
    4: mark(f(X)) -> active(f(X))
    5: mark(g(X)) -> active(g(X))
    6: f(mark(X)) -> f(X)
    7: f(active(X)) -> f(X)
    8: g(mark(X)) -> g(X)
    9: g(active(X)) -> g(X)
Number of strict rules: 9
Direct poly ... removes: 8 7 9 6
  c()		w: (9726)
  f(x1)		w: (x1)
  mark(x1)		w: (1 + x1)
  active(x1)		w: (1 + x1)
  g(x1)		w: (x1)
Number of strict rules: 5
Direct poly ... failed.
Freezing mark active
1: active❆1_c() -> mark❆1_f(g(c()))
2: active❆1_f(g(X)) -> mark❆1_g(X)
3: mark❆1_c() -> active❆1_c()
4: mark❆1_f(X) -> active❆1_f(X)
5: mark❆1_g(X) -> active❆1_g(X)
10: active(c()) ->= active❆1_c()
11: active(g(_1)) ->= active❆1_g(_1)
12: active(f(_1)) ->= active❆1_f(_1)
13: mark(c()) ->= mark❆1_c()
14: mark(g(_1)) ->= mark❆1_g(_1)
15: mark(f(_1)) ->= mark❆1_f(_1)
Number of strict rules: 5
Direct poly ... removes: 4 15 1 3 5 10 14 12 11 13 2
  mark❆1_c()		w: (161)
  c()		w: (39)
  f(x1)		w: (1 + x1)
  mark❆1_f(x1)		w: (1 + 2 * x1)
  mark(x1)		w: (84 + 2 * x1)
  active❆1_c()		w: (160)
  active(x1)		w: (83 + 2 * x1)
  active❆1_g(x1)		w: (x1)
  mark❆1_g(x1)		w: (1 + x1)
  active❆1_f(x1)		w: (2 * x1)
  g(x1)		w: (1 + 2 * x1)
Number of strict rules: 0