/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(c(a(x1))) -> c(a(c(x1)))
    2: a(a(b(x1))) -> a(d(b(x1)))
    3: a(b(x1)) -> b(a(a(x1)))
    4: d(d(x1)) -> a(d(b(x1)))
    5: b(b(x1)) -> b(c(x1))
    6: a(d(c(x1))) -> c(a(x1))
    7: b(c(x1)) -> a(a(a(x1)))
Number of strict rules: 7
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a(a(b(x1))) -> #a(d(b(x1)))
   #2: #a(a(b(x1))) -> #d(b(x1))
   #3: #a(d(c(x1))) -> #a(x1)
   #4: #b(c(x1)) -> #a(a(a(x1)))
   #5: #b(c(x1)) -> #a(a(x1))
   #6: #b(c(x1)) -> #a(x1)
   #7: #b(b(x1)) -> #b(c(x1))
   #8: #a(b(x1)) -> #b(a(a(x1)))
   #9: #a(b(x1)) -> #a(a(x1))
   #10: #a(b(x1)) -> #a(x1)
   #11: #a(c(a(x1))) -> #a(c(x1))
   #12: #d(d(x1)) -> #a(d(b(x1)))
   #13: #d(d(x1)) -> #d(b(x1))
   #14: #d(d(x1)) -> #b(x1)
Number of SCCs: 2, DPs: 10
	SCC { #11 }
Sum... succeeded.
  a(x1)		w: (1 + x1)
  d(x1)		w: (0)
  b(x1)		w: (0)
  c(x1)		w: (x1)
  #d(x1)		w: (0)
  #a(x1)		w: (x1)
  #b(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #11
Number of SCCs: 1, DPs: 9
	SCC { #1 #3..10 }
Sum... succeeded.
  a(x1)		w: (x1)
  d(x1)		w: (x1)
  b(x1)		w: (11799 + x1)
  c(x1)		w: (x1)
  #d(x1)		w: (0)
  #a(x1)		w: (8855 + x1)
  #b(x1)		w: (20653 + x1)
    USABLE RULES: { 1..3 5..7 }
    Removed DPs: #4..10
Number of SCCs: 1, DPs: 2
	SCC { #1 #3 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... succeeded.
  a(x1)	0[x1]	w: (x1)
  d(x1)	x1	w: (x1)
  b(x1)	1[]	w: (2438 + x1)
  c(x1)	0[x1]	w: (x1)
  #d(x1)	0[]	w: (1)
  #a(x1)	0[x1]	w: (x1)
  #b(x1)	0[]	w: (x1)
    USABLE RULES: { 1..3 5..7 }
    Removed DPs: #1 #3
Number of SCCs: 0, DPs: 0