/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(g(x)) -> f(a(g(g(f(x))),g(f(x))))
Number of strict rules: 1
Direct poly ... failed.
Freezing f
1: f❆1_g(x) -> f❆1_a(g(g(f(x))),g(f(x)))
2: f(a(_1,_2)) ->= f❆1_a(_1,_2)
3: f(g(_1)) ->= f❆1_g(_1)
Number of strict rules: 1
Direct poly ... failed.
Dependency Pairs:
   #1: #f(g(_1)) ->? #f❆1_g(_1)
   #2: #f❆1_g(x) -> #f(x)
   #3: #f❆1_g(x) -> #f(x)
Number of SCCs: 1, DPs: 3
	SCC { #1..3 }
Sum... succeeded.
  a(x1,x2)		w: (0)
  #f❆1_g(x1)		w: (1 + x1)
  f❆1_g(x1)		w: (0)
  f(x1)		w: (0)
  #f(x1)		w: (x1)
  f❆1_a(x1,x2)		w: (0)
  g(x1)		w: (2 + x1)
    USABLE RULES: { }
    Removed DPs: #1..3
Number of SCCs: 0, DPs: 0