/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: a(d(x1)) -> d(b(x1))
    2: a(x1) -> b(b(b(x1)))
    3: b(d(b(x1))) -> a(c(x1))
    4: c(x1) -> d(x1)
Number of strict rules: 4
Direct poly ... removes: 1
  a(x1)		w: (23160 + x1)
  d(x1)		w: (1 + 2 * x1)
  b(x1)		w: (7720 + x1)
  c(x1)		w: (1 + 2 * x1)
Number of strict rules: 3
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a(x1) -> #b(b(b(x1)))
   #2: #a(x1) -> #b(b(x1))
   #3: #a(x1) -> #b(x1)
   #4: #b(d(b(x1))) -> #a(c(x1))
   #5: #b(d(b(x1))) -> #c(x1)
Number of SCCs: 1, DPs: 2
	SCC { #3 #4 }
Sum... succeeded.
  a(x1)		w: (0)
  d(x1)		w: (x1)
  b(x1)		w: (3 + x1)
  c(x1)		w: (1 + x1)
  #c(x1)		w: (0)
  #a(x1)		w: (1 + x1)
  #b(x1)		w: (x1)
    USABLE RULES: { 4 }
    Removed DPs: #3 #4
Number of SCCs: 0, DPs: 0