/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES
Input TRS:
    1: a(s(x1)) -> s(s(s(p(s(b(p(p(s(s(x1))))))))))
    2: b(s(x1)) -> s(s(s(p(p(s(s(c(p(s(p(s(x1))))))))))))
    3: c(s(x1)) -> p(s(p(s(a(p(s(p(s(x1)))))))))
    4: p(p(s(x1))) -> p(x1)
    5: p(s(x1)) -> x1
Number of strict rules: 5
Direct poly ... failed.
Freezing p
1: a(s(x1)) -> s(s(s(p❆1_s(b(p(p❆1_s(s(x1))))))))
2: b(s(x1)) -> s(s(s(p(p❆1_s(s(c(p❆1_s(p❆1_s(x1)))))))))
3: c(s(x1)) -> p❆1_s(p❆1_s(a(p❆1_s(p❆1_s(x1)))))
4: p(p❆1_s(x1)) -> p(x1)
5: p❆1_s(x1) -> x1
6: p(s(_1)) ->= p❆1_s(_1)
Number of strict rules: 5
Direct poly ... failed.
Dependency Pairs:
   #1: #b(s(x1)) -> #p(p❆1_s(s(c(p❆1_s(p❆1_s(x1))))))
   #2: #b(s(x1)) -> #p❆1_s(s(c(p❆1_s(p❆1_s(x1)))))
   #3: #b(s(x1)) -> #c(p❆1_s(p❆1_s(x1)))
   #4: #b(s(x1)) -> #p❆1_s(p❆1_s(x1))
   #5: #b(s(x1)) -> #p❆1_s(x1)
   #6: #p(s(_1)) ->? #p❆1_s(_1)
   #7: #c(s(x1)) -> #p❆1_s(p❆1_s(a(p❆1_s(p❆1_s(x1)))))
   #8: #c(s(x1)) -> #p❆1_s(a(p❆1_s(p❆1_s(x1))))
   #9: #c(s(x1)) -> #a(p❆1_s(p❆1_s(x1)))
   #10: #c(s(x1)) -> #p❆1_s(p❆1_s(x1))
   #11: #c(s(x1)) -> #p❆1_s(x1)
   #12: #a(s(x1)) -> #p❆1_s(b(p(p❆1_s(s(x1)))))
   #13: #a(s(x1)) -> #b(p(p❆1_s(s(x1))))
   #14: #a(s(x1)) -> #p(p❆1_s(s(x1)))
   #15: #a(s(x1)) -> #p❆1_s(s(x1))
   #16: #p(p❆1_s(x1)) -> #p(x1)
Number of SCCs: 2, DPs: 4
	SCC { #16 }
Sum... succeeded.
  a(x1)		w: (0)
  s(x1)		w: (0)
  b(x1)		w: (0)
  p❆1_s(x1)		w: (1 + x1)
  c(x1)		w: (0)
  #p(x1)		w: (x1)
  #p❆1_s(x1)		w: (0)
  p(x1)		w: (0)
  #c(x1)		w: (0)
  #a(x1)		w: (0)
  #b(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #16
Number of SCCs: 1, DPs: 3
	SCC { #3 #9 #13 }
Sum... succeeded.
  a(x1)		w: (0)
  s(x1)		w: (8859 + x1)
  b(x1)		w: (0)
  p❆1_s(x1)		w: (1 + x1)
  c(x1)		w: (0)
  #p(x1)		w: (0)
  #p❆1_s(x1)		w: (0)
  p(x1)		w: (17710 + x1)
  #c(x1)		w: (8856 + x1)
  #a(x1)		w: (17712 + x1)
  #b(x1)		w: (x1)
    USABLE RULES: { 4..6 }
    Removed DPs: #3 #9 #13
Number of SCCs: 0, DPs: 0