/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: cond(true(),x,y) -> cond(and(gr(x,0()),gr(y,0())),p(x),p(y))
    2: and(true(),true()) -> true()
    3: and(x,false()) -> false()
    4: and(false(),x) -> false()
    5: gr(0(),0()) -> false()
    6: gr(0(),x) -> false()
    7: gr(s(x),0()) -> true()
    8: gr(s(x),s(y)) -> gr(x,y)
    9: p(0()) -> 0()
    10: p(s(x)) -> x
Number of strict rules: 10
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #cond(true(),x,y) -> #cond(and(gr(x,0()),gr(y,0())),p(x),p(y))
   #2: #cond(true(),x,y) -> #and(gr(x,0()),gr(y,0()))
   #3: #cond(true(),x,y) -> #gr(x,0())
   #4: #cond(true(),x,y) -> #gr(y,0())
   #5: #cond(true(),x,y) -> #p(x)
   #6: #cond(true(),x,y) -> #p(y)
   #7: #gr(s(x),s(y)) -> #gr(x,y)
Number of SCCs: 2, DPs: 2
	SCC { #7 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  and(x1,x2)		w: (0)
  false()		w: (0)
  #p(x1)		w: (0)
  true()		w: (0)
  p(x1)		w: (0)
  #cond(x1,x2,x3)		w: (0)
  0()		w: (0)
  #gr(x1,x2)		w: (x2 + x1)
  gr(x1,x2)		w: (0)
  #and(x1,x2)		w: (0)
  cond(x1,x2,x3)		w: (0)
    USABLE RULES: { }
    Removed DPs: #7
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  s(x1)		w: (max{0, 8 + x1})
  and(x1,x2)		w: (max{0, 1 + x1})
  false()		w: (1)
  #p(x1)		w: (0)
  true()		w: (6)
  p(x1)		w: (max{0, -2 + x1})
  #cond(x1,x2,x3)		w: (max{0, -1 + x3, -2 + x2, -5 + x1})
  0()		w: (0)
  #gr(x1,x2)		w: (0)
  gr(x1,x2)		w: (max{0, 1 + x1})
  #and(x1,x2)		w: (0)
  cond(x1,x2,x3)		w: (0)
    USABLE RULES: { 2..7 9 10 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0