/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(b(x1)) -> b(a(a(a(x1))))
    2: b(a(x1)) -> a(a(x1))
    3: a(a(x1)) -> a(c(b(x1)))
Number of strict rules: 3
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #b(a(x1)) -> #a(a(x1))
   #2: #a(a(x1)) -> #a(c(b(x1)))
   #3: #a(a(x1)) -> #b(x1)
   #4: #a(b(x1)) -> #b(a(a(a(x1))))
   #5: #a(b(x1)) -> #a(a(a(x1)))
   #6: #a(b(x1)) -> #a(a(x1))
   #7: #a(b(x1)) -> #a(x1)
Number of SCCs: 1, DPs: 6
	SCC { #1 #3..7 }
Sum... succeeded.
  a(x1)		w: (x1)
  b(x1)		w: (7720 + x1)
  c(x1)		w: (0)
  #a(x1)		w: (x1)
  #b(x1)		w: (x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #4..7
Number of SCCs: 1, DPs: 2
	SCC { #1 #3 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... succeeded.
  a(x1)	2[x1]	w: (x1)
  b(x1)	3[]	w: (1 + x1)
  c(x1)	2[]	w: (0)
  #a(x1)	0[x1]	w: (x1)
  #b(x1)	1[x1]	w: (x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #1 #3
Number of SCCs: 0, DPs: 0