/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__f(f(a())) -> a__f(g(f(a())))
    2: mark(f(X)) -> a__f(X)
    3: mark(a()) -> a()
    4: mark(g(X)) -> g(mark(X))
    5: a__f(X) -> f(X)
Number of strict rules: 5
Direct poly ... removes: 3 5 2
  a()		w: (2438)
  a__f(x1)		w: (8857 + x1)
  f(x1)		w: (8856 + x1)
  mark(x1)		w: (1 + 2 * x1)
  g(x1)		w: (x1)
Number of strict rules: 2
Direct poly ... failed.
Freezing a__f
1: a__f❆1_f(a()) -> a__f❆1_g(f(a()))
4: mark(g(X)) -> g(mark(X))
6: a__f(g(_1)) ->= a__f❆1_g(_1)
7: a__f(f(_1)) ->= a__f❆1_f(_1)
Number of strict rules: 2
Direct poly ... removes: 4 1 7 6
  a()		w: (1)
  a__f(x1)		w: (2439 + 2 * x1)
  a__f❆1_g(x1)		w: (2437 + 2 * x1)
  f(x1)		w: (1 + x1)
  mark(x1)		w: (1 + 2 * x1)
  g(x1)		w: (2 + 2 * x1)
  a__f❆1_f(x1)		w: (2440 + 2 * x1)
Number of strict rules: 0