/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES
Input TRS:
    1: b(a(a(x1))) -> a(b(c(x1)))
    2: c(a(x1)) -> a(c(x1))
    3: c(b(x1)) -> b(a(x1))
    4: a(a(x1)) -> a(b(a(x1)))
Number of strict rules: 4
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #c(a(x1)) -> #a(c(x1))
   #2: #c(a(x1)) -> #c(x1)
   #3: #c(b(x1)) -> #b(a(x1))
   #4: #c(b(x1)) -> #a(x1)
   #5: #b(a(a(x1))) -> #a(b(c(x1)))
   #6: #b(a(a(x1))) -> #b(c(x1))
   #7: #b(a(a(x1))) -> #c(x1)
   #8: #a(a(x1)) -> #a(b(a(x1)))
   #9: #a(a(x1)) -> #b(a(x1))
Number of SCCs: 1, DPs: 9
	SCC { #1..9 }
Sum... succeeded.
  a(x1)		w: (40 + x1)
  b(x1)		w: (x1)
  c(x1)		w: (40 + x1)
  #c(x1)		w: (41 + x1)
  #a(x1)		w: (1 + x1)
  #b(x1)		w: (x1)
    USABLE RULES: { 1..4 }
    Removed DPs: #1..7 #9
Number of SCCs: 1, DPs: 1
	SCC { #8 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  a(x1)		w: (max{0, 2439 + x1})
  b(x1)		w: (max{0, -1 + x1})
  c(x1)		w: (max{0, 2439 + x1})
  #c(x1)		w: (0)
  #a(x1)		w: (max{0, 20654 + x1})
  #b(x1)		w: (0)
    USABLE RULES: { 1..4 }
    Removed DPs: #8
Number of SCCs: 0, DPs: 0