/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: -(x,0()) -> x
    2: -(s(x),s(y)) -> -(x,y)
    3: p(s(x)) -> x
    4: f(s(x),y) -> f(p(-(s(x),y)),p(-(y,s(x))))
    5: f(x,s(y)) -> f(p(-(x,s(y))),p(-(s(y),x)))
Number of strict rules: 5
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #-(s(x),s(y)) -> #-(x,y)
   #2: #f(x,s(y)) -> #f(p(-(x,s(y))),p(-(s(y),x)))
   #3: #f(x,s(y)) -> #p(-(x,s(y)))
   #4: #f(x,s(y)) -> #-(x,s(y))
   #5: #f(x,s(y)) -> #p(-(s(y),x))
   #6: #f(x,s(y)) -> #-(s(y),x)
   #7: #f(s(x),y) -> #f(p(-(s(x),y)),p(-(y,s(x))))
   #8: #f(s(x),y) -> #p(-(s(x),y))
   #9: #f(s(x),y) -> #-(s(x),y)
   #10: #f(s(x),y) -> #p(-(y,s(x)))
   #11: #f(s(x),y) -> #-(y,s(x))
Number of SCCs: 2, DPs: 3
	SCC { #1 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  #p(x1)		w: (0)
  f(x1,x2)		w: (0)
  p(x1)		w: (0)
  0()		w: (0)
  -(x1,x2)		w: (0)
  #f(x1,x2)		w: (0)
  #-(x1,x2)		w: (x2 + x1)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 1, DPs: 2
	SCC { #2 #7 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  s(x1)		w: (max{0, 7722 + x1})
  #p(x1)		w: (0)
  f(x1,x2)		w: (0)
  p(x1)		w: (max{0, -7721 + x1})
  0()		w: (0)
  -(x1,x2)		w: (max{0, x1})
  #f(x1,x2)		w: (max{0, -5800 + x1})
  #-(x1,x2)		w: (0)
    USABLE RULES: { 1..3 }
    Removed DPs: #7
Number of SCCs: 1, DPs: 1
	SCC { #2 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  s(x1)		w: (max{0, 11801 + x1})
  #p(x1)		w: (0)
  f(x1,x2)		w: (0)
  p(x1)		w: (max{0, -3 + x1})
  0()		w: (0)
  -(x1,x2)		w: (max{0, x1})
  #f(x1,x2)		w: (max{0, 2 + x2, 1 + x1})
  #-(x1,x2)		w: (0)
    USABLE RULES: { 1..3 }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0