/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(a(),f(f(a(),a()),x)) -> f(f(a(),a()),f(a(),f(a(),x)))
Number of strict rules: 1
Direct poly ... failed.
Freezing f
1: f❆1_a(f(f❆1_a(a()),x)) -> f(f❆1_a(a()),f❆1_a(f❆1_a(x)))
2: f(a(),_1) ->= f❆1_a(_1)
Number of strict rules: 1
Direct poly ... removes: 2
  a()		w: (1)
  f(x1,x2)		w: (21238 + 2 * x2 + 2 * x1)
  f❆1_a(x1)		w: (x1)
Number of strict rules: 1
Direct poly ... failed.
Dependency Pairs:
   #1: #f❆1_a(f(f❆1_a(a()),x)) -> #f❆1_a(f❆1_a(x))
   #2: #f❆1_a(f(f❆1_a(a()),x)) -> #f❆1_a(x)
Number of SCCs: 1, DPs: 2
	SCC { #1 #2 }
Sum... succeeded.
  a()		w: (1)
  f(x1,x2)		w: (1 + x2)
  #f❆1_a(x1)		w: (x1)
  f❆1_a(x1)		w: (x1)
    USABLE RULES: { 1 }
    Removed DPs: #1 #2
Number of SCCs: 0, DPs: 0