/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(fmap(),fnil()),x) -> nil()
    2: app(app(fmap(),app(app(fcons(),f),t)),x) -> app(app(cons(),app(f,x)),app(app(fmap(),t),x))
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Uncurrying app
1: app^2_fmap(fnil(),x) -> nil()
2: app^2_fmap(app^2_fcons(f,t),x) -> app^2_cons(app(f,x),app^2_fmap(t,x))
3: app(fmap(),_1) ->= app^1_fmap(_1)
4: app(app^1_fmap(_1),_2) ->= app^2_fmap(_1,_2)
5: app(cons(),_1) ->= app^1_cons(_1)
6: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2)
7: app(fcons(),_1) ->= app^1_fcons(_1)
8: app(app^1_fcons(_1),_2) ->= app^2_fcons(_1,_2)
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #app^2_fmap(app^2_fcons(f,t),x) -> #app(f,x)
   #2: #app^2_fmap(app^2_fcons(f,t),x) -> #app^2_fmap(t,x)
   #3: #app(app^1_fmap(_1),_2) ->? #app^2_fmap(_1,_2)
Number of SCCs: 1, DPs: 3
  SCC { #1..3 }
POLO(Sum)... succeeded.
      app^1_cons	w: 0
      app^1_fcons	w: 0
      fmap	w: 0
      app^1_fmap	w: x1 + 1
      nil	w: 0
      #app	w: x1
      app^2_fcons	w: x1 + x2 + 1
      fnil	w: 0
      cons	w: 0
      #app^2_fmap	w: x1
      app^2_fmap	w: 0
      app^2_cons	w: 0
      fcons	w: 0
      app	w: 0
    USABLE RULES: { }
    Removed DPs: #1..3
Number of SCCs: 0, DPs: 0