/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(f(a(),f(a(),a())),x) -> f(x,f(f(a(),a()),a()))
Number of strict rules: 1
Direct poly ... failed.
Freezing f
1: f❆2_a(f❆1_a(a()),x) -> f(x,f❆2_a(a(),a()))
2: f(a(),_1) ->= f❆1_a(_1)
3: f(f❆1_a(_1),_2) ->= f❆2_a(_1,_2)
Number of strict rules: 1
Direct poly ... removes: 1 3 2
  a()		w: (1)
  f❆2_a(x1,x2)		w: (21238 + 2 * x2 + 2 * x1)
  f(x1,x2)		w: (21241 + 2 * x2 + 2 * x1)
  f❆1_a(x1)		w: (21242 + 2 * x1)
Number of strict rules: 0