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