/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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MAYBE
Input TRS:
    1: minus(x,0()) -> x
    2: minus(s(x),s(y)) -> minus(x,y)
    3: le(0(),y) -> true()
    4: le(s(x),0()) -> false()
    5: le(s(x),s(y)) -> le(x,y)
    6: quot(x,s(y)) -> if_quot(le(s(y),x),x,s(y))
    7: if_quot(true(),x,y) -> s(quot(minus(x,y),y))
    8: if_quot(false(),x,y) -> 0()
Number of strict rules: 8
Direct POLO(bPol) ... failed.
Uncurrying le
1: minus(x,0()) -> x
2: minus(s(x),s(y)) -> minus(x,y)
3: le^1_0(y) -> true()
4: le^1_s(x,0()) -> false()
5: le^1_s(x,s(y)) -> le(x,y)
6: quot(x,s(y)) -> if_quot(le^1_s(y,x),x,s(y))
7: if_quot(true(),x,y) -> s(quot(minus(x,y),y))
8: if_quot(false(),x,y) -> 0()
9: le(0(),_1) ->= le^1_0(_1)
10: le(s(_1),_2) ->= le^1_s(_1,_2)
Number of strict rules: 8
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #minus(s(x),s(y)) -> #minus(x,y)
   #2: #quot(x,s(y)) -> #if_quot(le^1_s(y,x),x,s(y))
   #3: #quot(x,s(y)) -> #le^1_s(y,x)
   #4: #le(0(),_1) ->? #le^1_0(_1)
   #5: #if_quot(true(),x,y) -> #quot(minus(x,y),y)
   #6: #if_quot(true(),x,y) -> #minus(x,y)
   #7: #le(s(_1),_2) ->? #le^1_s(_1,_2)
   #8: #le^1_s(x,s(y)) -> #le(x,y)
Number of SCCs: 3, DPs: 5
  SCC { #1 }
POLO(Sum)... succeeded.
      #le^1_s	w: 0
      le	w: 0
      le^1_s	w: 0
      s 	w: x1 + 1
      #le	w: 0
      #le^1_0	w: 0
      minus	w: 0
      #if_quot	w: 0
      false	w: 0
      true	w: 0
      0 	w: 0
      quot	w: 0
      #minus	w: x1 + x2
      le^1_0	w: 0
      if_quot	w: 0
      #quot	w: 0
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 2, DPs: 4
  SCC { #7 #8 }
POLO(Sum)... succeeded.
      #le^1_s	w: x2
      le	w: 0
      le^1_s	w: 0
      s 	w: x1 + 2
      #le	w: x2 + 1
      #le^1_0	w: 0
      minus	w: 0
      #if_quot	w: 0
      false	w: 0
      true	w: 0
      0 	w: 0
      quot	w: 0
      #minus	w: 0
      le^1_0	w: 0
      if_quot	w: 0
      #quot	w: 0
    USABLE RULES: { }
    Removed DPs: #7 #8
Number of SCCs: 1, DPs: 2
  SCC { #2 #5 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  failed.