/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: a(b(x1)) -> b(a(a(x1)))
    2: b(c(x1)) -> c(b(x1))
    3: a(a(x1)) -> a(c(a(x1)))
Number of strict rules: 3
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #b(c(x1)) -> #b(x1)
   #2: #a(a(x1)) -> #a(c(a(x1)))
   #3: #a(b(x1)) -> #b(a(a(x1)))
   #4: #a(b(x1)) -> #a(a(x1))
   #5: #a(b(x1)) -> #a(x1)
Number of SCCs: 2, DPs: 3
	SCC { #1 }
Sum... succeeded.
  a(x1)		w: (0)
  b(x1)		w: (0)
  c(x1)		w: (1 + x1)
  #a(x1)		w: (0)
  #b(x1)		w: (x1)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 1, DPs: 2
	SCC { #4 #5 }
Sum... succeeded.
  a(x1)		w: (x1)
  b(x1)		w: (1 + x1)
  c(x1)		w: (0)
  #a(x1)		w: (x1)
  #b(x1)		w: (0)
    USABLE RULES: { 1..3 }
    Removed DPs: #4 #5
Number of SCCs: 0, DPs: 0