/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES
Input TRS:
    1: f(f(a(),x),a()) -> f(a(),f(f(a(),f(a(),a())),x))
Number of strict rules: 1
Direct poly ... failed.
Freezing f
1: f❆2_a(x,a()) -> f❆1_a(f❆2_a(f❆1_a(a()),x))
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: 3 2
  a()		w: (1)
  f❆2_a(x1,x2)		w: (8365 + x2 + x1)
  f(x1,x2)		w: (8366 + x2 + x1)
  f❆1_a(x1)		w: (x1)
Number of strict rules: 1
Direct poly ... failed.
Dependency Pairs:
   #1: #f❆2_a(x,a()) -> #f❆2_a(f❆1_a(a()),x)
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... succeeded.
  a()		w: (7721)
  f❆2_a(x1,x2)		w: (0)
  #f❆2_a(x1,x2)		w: (x2 + x1)
  f(x1,x2)		w: (0)
  f❆1_a(x1)		w: (7720)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0