/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: p(0()) -> 0()
    2: p(s(x)) -> x
    3: le(0(),y) -> true()
    4: le(s(x),0()) -> false()
    5: le(s(x),s(y)) -> le(x,y)
    6: minus(x,y) -> if(le(x,y),x,y)
    7: if(true(),x,y) -> 0()
    8: if(false(),x,y) -> s(minus(p(x),y))
Number of strict rules: 8
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #minus(x,y) -> #if(le(x,y),x,y)
   #2: #minus(x,y) -> #le(x,y)
   #3: #le(s(x),s(y)) -> #le(x,y)
   #4: #if(false(),x,y) -> #minus(p(x),y)
   #5: #if(false(),x,y) -> #p(x)
Number of SCCs: 2, DPs: 3
	SCC { #3 }
Sum... succeeded.
  le(x1,x2)		w: (0)
  s(x1)		w: (1 + x1)
  #le(x1,x2)		w: (x2 + x1)
  minus(x1,x2)		w: (0)
  false()		w: (0)
  #p(x1)		w: (0)
  true()		w: (0)
  p(x1)		w: (0)
  0()		w: (0)
  if(x1,x2,x3)		w: (0)
  #minus(x1,x2)		w: (0)
  #if(x1,x2,x3)		w: (0)
    USABLE RULES: { }
    Removed DPs: #3
Number of SCCs: 1, DPs: 2
	SCC { #1 #4 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  le(x1,x2)		w: (max{0, 1 + x1})
  s(x1)		w: (max{0, 1 + x1})
  #le(x1,x2)		w: (0)
  minus(x1,x2)		w: (0)
  false()		w: (2)
  #p(x1)		w: (0)
  true()		w: (1)
  p(x1)		w: (max{0, -1 + x1})
  0()		w: (0)
  if(x1,x2,x3)		w: (0)
  #minus(x1,x2)		w: (max{0, x1})
  #if(x1,x2,x3)		w: (max{0, x2, -1 + x1})
    USABLE RULES: { 1..5 }
    Removed DPs: #4
Number of SCCs: 0, DPs: 0