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