/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: ap(f(),x) -> x
    2: ap(ap(ap(g(),x),y),ap(s(),z)) -> ap(ap(ap(g(),x),y),ap(ap(x,y),0()))
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Uncurrying ap
1: ap^1_f(x) -> x
2: ap^3_g(x,y,ap^1_s(z)) -> ap^3_g(x,y,ap(ap(x,y),0()))
3: ap(s(),_1) ->= ap^1_s(_1)
4: ap(g(),_1) ->= ap^1_g(_1)
5: ap(ap^1_g(_1),_2) ->= ap^2_g(_1,_2)
6: ap(ap^2_g(_1,_2),_3) ->= ap^3_g(_1,_2,_3)
7: ap(f(),_1) ->= ap^1_f(_1)
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #ap^3_g(x,y,ap^1_s(z)) -> #ap^3_g(x,y,ap(ap(x,y),0()))
   #2: #ap^3_g(x,y,ap^1_s(z)) -> #ap(ap(x,y),0())
   #3: #ap^3_g(x,y,ap^1_s(z)) -> #ap(x,y)
   #4: #ap(ap^2_g(_1,_2),_3) ->? #ap^3_g(_1,_2,_3)
   #5: #ap(f(),_1) ->? #ap^1_f(_1)
Number of SCCs: 1, DPs: 4
  SCC { #1..4 }
POLO(Sum)... succeeded.
      #ap^1_f	w: 0
      s 	w: 1
      #ap^3_g	w: x1 + x2 + 3
      ap	w: x1 + x2 + 1
      ap^3_g	w: 0
      f 	w: 1
      0 	w: 1
      ap^1_g	w: x1 + 3
      #ap	w: x1 + x2
      ap^1_s	w: 2
      ap^1_f	w: x1
      g 	w: 2
      ap^2_g	w: x1 + x2 + 4
    USABLE RULES: { 1..7 }
    Removed DPs: #2..4
Number of SCCs: 1, DPs: 1
  SCC { #1 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  failed.