/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: v(s(x1)) -> s(p(p(s(s(s(s(s(s(s(s(w(p(p(s(s(p(s(p(s(x1))))))))))))))))))))
    2: v(0(x1)) -> p(p(s(s(0(p(p(s(s(s(s(s(x1))))))))))))
    3: w(s(x1)) -> s(s(s(s(s(s(p(p(s(s(v(p(p(s(s(s(p(p(s(s(x1))))))))))))))))))))
    4: w(0(x1)) -> p(s(p(p(p(p(p(p(p(p(s(s(0(s(s(s(s(s(s(x1)))))))))))))))))))
    5: p(p(s(x1))) -> p(x1)
    6: p(s(x1)) -> x1
    7: p(0(x1)) -> 0(s(s(s(s(s(s(s(p(s(x1))))))))))
Number of strict rules: 7
Direct poly ... removes: 4 2
  s(x1)		w: (x1)
  v(x1)		w: (1 + x1)
  w(x1)		w: (1 + x1)
  p(x1)		w: (x1)
  0(x1)		w: (1324 + x1)
Number of strict rules: 5
Direct poly ... failed.
Freezing p
1: v(s(x1)) -> s(p(p❆1_s(s(s(s(s(s(s(s(w(p(p❆1_s(s(p❆1_s(p❆1_s(x1))))))))))))))))
3: w(s(x1)) -> s(s(s(s(s(s(p(p❆1_s(s(v(p(p❆1_s(s(s(p(p❆1_s(s(x1)))))))))))))))))
5: p(p❆1_s(x1)) -> p(x1)
6: p❆1_s(x1) -> x1
7: p❆1_0(x1) -> 0(s(s(s(s(s(s(s(p❆1_s(x1)))))))))
8: p(0(_1)) ->= p❆1_0(_1)
9: p(s(_1)) ->= p❆1_s(_1)
Number of strict rules: 5
Direct poly ... failed.
Dependency Pairs:
   #1: #p(s(_1)) ->? #p❆1_s(_1)
   #2: #p❆1_0(x1) -> #p❆1_s(x1)
   #3: #p(p❆1_s(x1)) -> #p(x1)
   #4: #w(s(x1)) -> #p(p❆1_s(s(v(p(p❆1_s(s(s(p(p❆1_s(s(x1)))))))))))
   #5: #w(s(x1)) -> #p❆1_s(s(v(p(p❆1_s(s(s(p(p❆1_s(s(x1))))))))))
   #6: #w(s(x1)) -> #v(p(p❆1_s(s(s(p(p❆1_s(s(x1))))))))
   #7: #w(s(x1)) -> #p(p❆1_s(s(s(p(p❆1_s(s(x1)))))))
   #8: #w(s(x1)) -> #p❆1_s(s(s(p(p❆1_s(s(x1))))))
   #9: #w(s(x1)) -> #p(p❆1_s(s(x1)))
   #10: #w(s(x1)) -> #p❆1_s(s(x1))
   #11: #v(s(x1)) -> #p(p❆1_s(s(s(s(s(s(s(s(w(p(p❆1_s(s(p❆1_s(p❆1_s(x1)))))))))))))))
   #12: #v(s(x1)) -> #p❆1_s(s(s(s(s(s(s(s(w(p(p❆1_s(s(p❆1_s(p❆1_s(x1))))))))))))))
   #13: #v(s(x1)) -> #w(p(p❆1_s(s(p❆1_s(p❆1_s(x1))))))
   #14: #v(s(x1)) -> #p(p❆1_s(s(p❆1_s(p❆1_s(x1)))))
   #15: #v(s(x1)) -> #p❆1_s(s(p❆1_s(p❆1_s(x1))))
   #16: #v(s(x1)) -> #p❆1_s(p❆1_s(x1))
   #17: #v(s(x1)) -> #p❆1_s(x1)
   #18: #p(0(_1)) ->? #p❆1_0(_1)
Number of SCCs: 2, DPs: 3
	SCC { #3 }
Sum... succeeded.
  s(x1)		w: (0)
  v(x1)		w: (0)
  #w(x1)		w: (0)
  p❆1_s(x1)		w: (1 + x1)
  #p❆1_0(x1)		w: (0)
  w(x1)		w: (0)
  #p(x1)		w: (x1)
  #p❆1_s(x1)		w: (0)
  p(x1)		w: (0)
  0(x1)		w: (0)
  p❆1_0(x1)		w: (0)
  #v(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #3
Number of SCCs: 1, DPs: 2
	SCC { #6 #13 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  s(x1)		w: (max{0, 23166 + x1})
  v(x1)		w: (0)
  #w(x1)		w: (max{0, -13006 + x1})
  p❆1_s(x1)		w: (max{0, 1 + x1})
  #p❆1_0(x1)		w: (0)
  w(x1)		w: (0)
  #p(x1)		w: (0)
  #p❆1_s(x1)		w: (0)
  p(x1)		w: (max{0, -15446 + x1})
  0(x1)		w: (0)
  p❆1_0(x1)		w: (0)
  #v(x1)		w: (max{0, -28449 + x1})
    USABLE RULES: { 5..9 }
    Removed DPs: #6
Number of SCCs: 0, DPs: 0