/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(x,a())) -> f(a(),f(x,f(f(a(),a()),a())))
Number of strict rules: 1
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(a(),f(x,a())) -> #f(a(),f(x,f(f(a(),a()),a())))
   #2: #f(a(),f(x,a())) -> #f(x,f(f(a(),a()),a()))
   #3: #f(a(),f(x,a())) -> #f(f(a(),a()),a())
   #4: #f(a(),f(x,a())) -> #f(a(),a())
Number of SCCs: 1, DPs: 2
	SCC { #1 #2 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  a()		w: (15519)
  f(x1,x2)		w: (max{0, -7760 + x2})
  #f(x1,x2)		w: (max{0, -39 + x2})
    USABLE RULES: { 1 }
    Removed DPs: #1
Number of SCCs: 1, DPs: 1
	SCC { #2 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  a()		w: (64574)
  f(x1,x2)		w: (max{0, -96860 + x2 + x1})
  #f(x1,x2)		w: (max{0, -1 + x2 + x1})
    USABLE RULES: { 1 }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0