/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: minus(x,0()) -> x
    2: minus(s(x),s(y)) -> minus(x,y)
    3: quot(0(),s(y)) -> 0()
    4: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y)))
    5: plus(0(),y) -> y
    6: plus(s(x),y) -> s(plus(x,y))
    7: minus(minus(x,y),z) -> minus(x,plus(y,z))
    8: rand(x) ->= x
    9: rand(x) ->= rand(s(x))
Number of strict rules: 7
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #minus(s(x),s(y)) -> #minus(x,y)
   #2: #plus(s(x),y) -> #plus(x,y)
   #3: #minus(minus(x,y),z) -> #minus(x,plus(y,z))
   #4: #minus(minus(x,y),z) -> #plus(y,z)
   #5: #quot(s(x),s(y)) -> #quot(minus(x,y),s(y))
   #6: #quot(s(x),s(y)) -> #minus(x,y)
Number of SCCs: 3, DPs: 4
  SCC { #2 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
      s 	s: [1]	p: 0	w: x1
      minus	s: 1
      #plus	s: [2,1]	p: 1	w: max(x1 + 1, x2 + 2)
      rand	s: []	p: 0	w: x1 + 1
      0 	s: []	p: 1	w: 1
      quot	s: [1]	p: 1	w: max(x1 + 1)
      #minus	s: [1]	p: 0	w: max(x1)
      plus	s: [2,1]	p: 1	w: max(x1 + 2, x2 + 1)
      #quot	s: []	p: 0	w: max(x2)
    Removed DPs: #2
Number of SCCs: 2, DPs: 3
  SCC { #5 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
      s 	s: [1]	p: 0	w: x1
      minus	s: 1
      #plus	s: [2,1]	p: 1	w: max(x1 + 1, x2 + 2)
      rand	s: []	p: 0	w: x1 + 1
      0 	s: []	p: 1	w: 1
      quot	s: [1]	p: 1	w: max(x1 + 1)
      #minus	s: [1]	p: 0	w: max(x1)
      plus	s: [2,1]	p: 1	w: max(x1 + 2, x2 + 1)
      #quot	s: [1,2]	p: 1	w: max(x1 + 1, x2)
    Removed DPs: #5
Number of SCCs: 1, DPs: 2
  SCC { #1 #3 }
POLO(Sum)... succeeded.
      s 	w: x1
      minus	w: x1 + x2 + 2
      #plus	w: 0
      rand	w: x1
      0 	w: 1
      quot	w: 1
      #minus	w: x1 + x2
      plus	w: x2 + 1
      #quot	w: 0
    Removed DPs: #3
Number of SCCs: 1, DPs: 1
  SCC { #1 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded.
      s 	s: [1]	p: 0	w: x1
      minus	s: 1
      #plus	s: [2,1]	p: 1	w: max(x1 + 1, x2 + 2)
      rand	s: []	p: 0	w: x1 + 1
      0 	s: []	p: 1	w: 1
      quot	s: [1]	p: 1	w: max(x1 + 1)
      #minus	s: [1]	p: 1	w: max(x1)
      plus	s: [2,1]	p: 1	w: max(x1 + 2, x2 + 1)
      #quot	s: [1,2]	p: 1	w: max(x1 + 1, x2)
    Removed DPs: #1
Number of SCCs: 0, DPs: 0