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


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YES
Input TRS:
    1: app(app(F(),app(app(F(),f),x)),x) -> app(app(F(),app(G(),app(app(F(),f),x))),app(f,x))
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Uncurrying app
1: app^2_F(app^2_F(f,x),x) -> app^2_F(app^1_G(app^2_F(f,x)),app(f,x))
2: app(G(),_1) ->= app^1_G(_1)
3: app(F(),_1) ->= app^1_F(_1)
4: app(app^1_F(_1),_2) ->= app^2_F(_1,_2)
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #app^2_F(app^2_F(f,x),x) -> #app^2_F(app^1_G(app^2_F(f,x)),app(f,x))
   #2: #app^2_F(app^2_F(f,x),x) -> #app(f,x)
   #3: #app(app^1_F(_1),_2) ->? #app^2_F(_1,_2)
Number of SCCs: 1, DPs: 2
  SCC { #2 #3 }
POLO(Sum)... succeeded.
      app^1_F	w: x1 + 1
      G 	w: 0
      F 	w: 0
      app^1_G	w: 0
      #app	w: x1 + x2
      app^2_F	w: x1 + 1
      #app^2_F	w: x1 + x2
      app	w: 0
    USABLE RULES: { }
    Removed DPs: #2 #3
Number of SCCs: 0, DPs: 0