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


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YES
Input TRS:
    1: app(app(app(consif(),true()),x),ys) -> app(app(cons(),x),ys)
    2: app(app(app(consif(),false()),x),ys) -> ys
    3: app(app(filter(),f),nil()) -> nil()
    4: app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(consif(),app(f,x)),x),app(app(filter(),f),xs))
Number of strict rules: 4
Direct POLO(bPol) ... failed.
Uncurrying app
1: app^3_consif(true(),x,ys) -> app^2_cons(x,ys)
2: app^3_consif(false(),x,ys) -> ys
3: app^2_filter(f,nil()) -> nil()
4: app^2_filter(f,app^2_cons(x,xs)) -> app^3_consif(app(f,x),x,app^2_filter(f,xs))
5: app(cons(),_1) ->= app^1_cons(_1)
6: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2)
7: app(filter(),_1) ->= app^1_filter(_1)
8: app(app^1_filter(_1),_2) ->= app^2_filter(_1,_2)
9: app(consif(),_1) ->= app^1_consif(_1)
10: app(app^1_consif(_1),_2) ->= app^2_consif(_1,_2)
11: app(app^2_consif(_1,_2),_3) ->= app^3_consif(_1,_2,_3)
Number of strict rules: 4
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #app(app^2_consif(_1,_2),_3) ->? #app^3_consif(_1,_2,_3)
   #2: #app(app^1_filter(_1),_2) ->? #app^2_filter(_1,_2)
   #3: #app^2_filter(f,app^2_cons(x,xs)) -> #app^3_consif(app(f,x),x,app^2_filter(f,xs))
   #4: #app^2_filter(f,app^2_cons(x,xs)) -> #app(f,x)
   #5: #app^2_filter(f,app^2_cons(x,xs)) -> #app^2_filter(f,xs)
Number of SCCs: 1, DPs: 3
  SCC { #2 #4 #5 }
POLO(Sum)... succeeded.
      app^1_cons	w: 0
      app^3_consif	w: 0
      app^1_consif	w: 0
      false	w: 0
      true	w: 0
      nil	w: 0
      #app	w: x2 + 1
      app^1_filter	w: 1
      consif	w: 0
      cons	w: 0
      filter	w: 0
      #app^3_consif	w: 0
      app^2_filter	w: 0
      app^2_consif	w: 0
      app^2_cons	w: x1 + x2 + 2
      #app^2_filter	w: x2
      app	w: 0
    USABLE RULES: { }
    Removed DPs: #2 #4 #5
Number of SCCs: 0, DPs: 0