/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: a(f(),a(g(),a(f(),x))) -> a(f(),a(g(),a(g(),a(f(),x))))
    2: a(g(),a(f(),a(g(),x))) -> a(g(),a(f(),a(f(),a(g(),x))))
Number of strict rules: 2
Direct poly ... failed.
Freezing a
1: a❆1_f(a❆1_g(a❆1_f(x))) -> a❆1_f(a❆1_g(a❆1_g(a❆1_f(x))))
2: a❆1_g(a❆1_f(a❆1_g(x))) -> a❆1_g(a❆1_f(a❆1_f(a❆1_g(x))))
3: a(g(),_1) ->= a❆1_g(_1)
4: a(f(),_1) ->= a❆1_f(_1)
Number of strict rules: 2
Direct poly ... removes: 4 3
  a(x1,x2)		w: (x2 + 2 * x1)
  a❆1_f(x1)		w: (x1)
  a❆1_g(x1)		w: (x1)
  f()		w: (1)
  g()		w: (1143)
Number of strict rules: 2
Direct poly ... failed.
Dependency Pairs:
   #1: #a❆1_g(a❆1_f(a❆1_g(x))) -> #a❆1_g(a❆1_f(a❆1_f(a❆1_g(x))))
   #2: #a❆1_g(a❆1_f(a❆1_g(x))) -> #a❆1_f(a❆1_f(a❆1_g(x)))
   #3: #a❆1_f(a❆1_g(a❆1_f(x))) -> #a❆1_f(a❆1_g(a❆1_g(a❆1_f(x))))
   #4: #a❆1_f(a❆1_g(a❆1_f(x))) -> #a❆1_g(a❆1_g(a❆1_f(x)))
Number of SCCs: 0, DPs: 0