/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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MAYBE
Input TRS:
    1: minus(0(),y) -> 0()
    2: minus(x,0()) -> x
    3: minus(s(x),s(y)) -> minus(x,y)
    4: plus(0(),y) -> y
    5: plus(s(x),y) -> plus(x,s(y))
    6: zero(s(x)) -> false()
    7: zero(0()) -> true()
    8: p(s(x)) -> x
    9: div(x,y) -> quot(x,y,0())
    10: quot(x,y,z) -> if(zero(x),x,y,plus(z,s(0())))
    11: if(true(),x,y,z) -> p(z)
    12: if(false(),x,s(y),z) -> quot(minus(x,s(y)),s(y),z)
Number of strict rules: 12
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #div(x,y) -> #quot(x,y,0())
   #2: #if(true(),x,y,z) -> #p(z)
   #3: #if(false(),x,s(y),z) -> #quot(minus(x,s(y)),s(y),z)
   #4: #if(false(),x,s(y),z) -> #minus(x,s(y))
   #5: #quot(x,y,z) -> #if(zero(x),x,y,plus(z,s(0())))
   #6: #quot(x,y,z) -> #zero(x)
   #7: #quot(x,y,z) -> #plus(z,s(0()))
   #8: #plus(s(x),y) -> #plus(x,s(y))
   #9: #minus(s(x),s(y)) -> #minus(x,y)
Number of SCCs: 3, DPs: 4
  SCC { #9 }
POLO(Sum)... succeeded.
      zero	w: 0
      #div	w: 0
      s 	w: x1 + 1
      minus	w: 0
      #plus	w: 0
      false	w: 0
      div	w: 0
      #p 	w: 0
      true	w: 0
      p 	w: 0
      0 	w: 0
      if	w: 0
      quot	w: 0
      #minus	w: x2
      plus	w: 0
      #if	w: 0
      #quot	w: 0
      #zero	w: 0
    USABLE RULES: { }
    Removed DPs: #9
Number of SCCs: 2, DPs: 3
  SCC { #8 }
POLO(Sum)... succeeded.
      zero	w: 0
      #div	w: 0
      s 	w: x1 + 1
      minus	w: 0
      #plus	w: x1
      false	w: 0
      div	w: 0
      #p 	w: 0
      true	w: 0
      p 	w: 0
      0 	w: 0
      if	w: 0
      quot	w: 0
      #minus	w: 0
      plus	w: 0
      #if	w: 0
      #quot	w: 0
      #zero	w: 0
    USABLE RULES: { }
    Removed DPs: #8
Number of SCCs: 1, DPs: 2
  SCC { #3 #5 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  failed.