/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(r(x1))
    2: r(a(x1)) -> d(r(x1))
    3: r(x1) -> d(x1)
    4: d(a(x1)) -> a(a(d(x1)))
    5: d(x1) -> a(x1)
Number of strict rules: 5
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #r(a(x1)) -> #d(r(x1))
   #2: #r(a(x1)) -> #r(x1)
   #3: #d(x1) -> #a(x1)
   #4: #r(x1) -> #d(x1)
   #5: #a(b(x1)) -> #r(x1)
   #6: #d(a(x1)) -> #a(a(d(x1)))
   #7: #d(a(x1)) -> #a(d(x1))
   #8: #d(a(x1)) -> #d(x1)
Number of SCCs: 1, DPs: 8
	SCC { #1..8 }
Sum... succeeded.
  a(x1)		w: (x1)
  d(x1)		w: (x1)
  b(x1)		w: (41 + x1)
  r(x1)		w: (x1)
  #d(x1)		w: (39 + x1)
  #r(x1)		w: (40 + x1)
  #a(x1)		w: (x1)
    USABLE RULES: { 1..5 }
    Removed DPs: #1 #3..7
Number of SCCs: 2, DPs: 2
	SCC { #8 }
Sum... Max... succeeded.
  a(x1)		w: (1 + x1)
  d(x1)		w: (0)
  b(x1)		w: (0)
  r(x1)		w: (0)
  #d(x1)		w: (x1)
  #r(x1)		w: (0)
  #a(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #8
Number of SCCs: 1, DPs: 1
	SCC { #2 }
Sum... succeeded.
  a(x1)		w: (1 + x1)
  d(x1)		w: (3)
  b(x1)		w: (40 + x1)
  r(x1)		w: (2)
  #d(x1)		w: (39)
  #r(x1)		w: (40 + x1)
  #a(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0