/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: f(a(),f(b(),f(a(),x))) -> f(a(),f(b(),f(b(),f(a(),x))))
    2: f(b(),f(b(),f(b(),x))) -> f(b(),f(b(),x))
Number of strict rules: 2
Direct poly ... failed.
Freezing f
1: f❆1_a(f❆1_b(f❆1_a(x))) -> f❆1_a(f❆1_b(f❆1_b(f❆1_a(x))))
2: f❆1_b(f❆1_b(f❆1_b(x))) -> f❆1_b(f❆1_b(x))
3: f(a(),_1) ->= f❆1_a(_1)
4: f(b(),_1) ->= f❆1_b(_1)
Number of strict rules: 2
Direct poly ... removes: 4 3
  a()		w: (1)
  b()		w: (1)
  f(x1,x2)		w: (8365 + x2 + 2 * x1)
  f❆1_b(x1)		w: (x1)
  f❆1_a(x1)		w: (8366 + x1)
Number of strict rules: 2
Direct poly ... failed.
Dependency Pairs:
   #1: #f❆1_a(f❆1_b(f❆1_a(x))) -> #f❆1_a(f❆1_b(f❆1_b(f❆1_a(x))))
   #2: #f❆1_a(f❆1_b(f❆1_a(x))) -> #f❆1_b(f❆1_b(f❆1_a(x)))
Number of SCCs: 0, DPs: 0