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


--------------------------------------------------------------------------------


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