MAYBE
Input TRS:
      1: app(app(*(),x),app(app(+(),y),z)) -> app(app(+(),app(app(*(),x),y)),app(app(*(),x),z))
      2: app(app(*(),app(app(+(),y),z)),x) -> app(app(+(),app(app(*(),x),y)),app(app(*(),x),z))
      3: app(app(*(),app(app(*(),x),y)),z) -> app(app(*(),x),app(app(*(),y),z))
      4: app(app(+(),app(app(+(),x),y)),z) -> app(app(+(),x),app(app(+(),y),z))
      5: app(app(map(),f),nil()) -> nil()
      6: app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs))
      7: app(app(filter(),f),nil()) -> nil()
      8: app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(f,x)),f),x),xs)
      9: app(app(app(app(filter2(),true()),f),x),xs) -> app(app(cons(),x),app(app(filter(),f),xs))
      10: app(app(app(app(filter2(),false()),f),x),xs) -> app(app(filter(),f),xs)
Number of strict rules: 10
Direct POLO(bPol) ... failed.
Uncurrying app
      1: app^2_*(x,app^2_+(y,z)) -> app^2_+(app^2_*(x,y),app^2_*(x,z))
      2: app^2_*(app^2_+(y,z),x) -> app^2_+(app^2_*(x,y),app^2_*(x,z))
      3: app^2_*(app^2_*(x,y),z) -> app^2_*(x,app^2_*(y,z))
      4: app^2_+(app^2_+(x,y),z) -> app^2_+(x,app^2_+(y,z))
      5: app^2_map(f,nil()) -> nil()
      6: app^2_map(f,app^2_cons(x,xs)) -> app^2_cons(app(f,x),app^2_map(f,xs))
      7: app^2_filter(f,nil()) -> nil()
      8: app^2_filter(f,app^2_cons(x,xs)) -> app^4_filter2(app(f,x),f,x,xs)
      9: app^4_filter2(true(),f,x,xs) -> app^2_cons(x,app^2_filter(f,xs))
      10: app^4_filter2(false(),f,x,xs) -> app^2_filter(f,xs)
      11: app(cons(),_1) ->= app^1_cons(_1)
      12: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2)
      13: app(filter(),_1) ->= app^1_filter(_1)
      14: app(app^1_filter(_1),_2) ->= app^2_filter(_1,_2)
      15: app(+(),_1) ->= app^1_+(_1)
      16: app(app^1_+(_1),_2) ->= app^2_+(_1,_2)
      17: app(map(),_1) ->= app^1_map(_1)
      18: app(app^1_map(_1),_2) ->= app^2_map(_1,_2)
      19: app(filter2(),_1) ->= app^1_filter2(_1)
      20: app(app^1_filter2(_1),_2) ->= app^2_filter2(_1,_2)
      21: app(app^2_filter2(_1,_2),_3) ->= app^3_filter2(_1,_2,_3)
      22: app(app^3_filter2(_1,_2,_3),_4) ->= app^4_filter2(_1,_2,_3,_4)
      23: app(*(),_1) ->= app^1_*(_1)
      24: app(app^1_*(_1),_2) ->= app^2_*(_1,_2)
Number of strict rules: 10
Direct POLO(bPol) ... failed.
Dependency Pairs:
     #1: #app^2_*(app^2_+(y,z),x) -> #app^2_+(app^2_*(x,y),app^2_*(x,z))
     #2: #app^2_*(app^2_+(y,z),x) -> #app^2_*(x,y)
     #3: #app^2_*(app^2_+(y,z),x) -> #app^2_*(x,z)
     #4: #app^2_map(f,app^2_cons(x,xs)) -> #app(f,x)
     #5: #app^2_map(f,app^2_cons(x,xs)) -> #app^2_map(f,xs)
     #6: #app^4_filter2(true(),f,x,xs) -> #app^2_filter(f,xs)
     #7: #app(app^1_*(_1),_2) ->? #app^2_*(_1,_2)
     #8: #app(app^1_filter(_1),_2) ->? #app^2_filter(_1,_2)
     #9: #app^4_filter2(false(),f,x,xs) -> #app^2_filter(f,xs)
     #10: #app(app^3_filter2(_1,_2,_3),_4) ->? #app^4_filter2(_1,_2,_3,_4)
     #11: #app(app^1_+(_1),_2) ->? #app^2_+(_1,_2)
     #12: #app^2_*(app^2_*(x,y),z) -> #app^2_*(x,app^2_*(y,z))
     #13: #app^2_*(app^2_*(x,y),z) -> #app^2_*(y,z)
     #14: #app^2_*(x,app^2_+(y,z)) -> #app^2_+(app^2_*(x,y),app^2_*(x,z))
     #15: #app^2_*(x,app^2_+(y,z)) -> #app^2_*(x,y)
     #16: #app^2_*(x,app^2_+(y,z)) -> #app^2_*(x,z)
     #17: #app^2_filter(f,app^2_cons(x,xs)) -> #app^4_filter2(app(f,x),f,x,xs)
     #18: #app^2_filter(f,app^2_cons(x,xs)) -> #app(f,x)
     #19: #app^2_+(app^2_+(x,y),z) -> #app^2_+(x,app^2_+(y,z))
     #20: #app^2_+(app^2_+(x,y),z) -> #app^2_+(y,z)
     #21: #app(app^1_map(_1),_2) ->? #app^2_map(_1,_2)
Number of SCCs: 3, DPs: 16
  SCC { #19 #20 }
POLO(Sum)... succeeded.
      app^1_cons	w: 0
      app^1_+	w: 0
      #app^2_map	w: 0
      app^2_filter2	w: 0
      app^4_filter2	w: 0
      false	w: 0
      app^1_*	w: 0
      app^2_*	w: 0
      app^1_filter2	w: 0
      true	w: 0
      filter2	w: 0
      #app^4_filter2	w: 0
      nil	w: 0
      #app	w: 0
      map	w: 0
      app^1_filter	w: 0
      app^2_+	w: x1 + x2 + 1
      cons	w: 0
      filter	w: 0
      + 	w: 0
      app^3_filter2	w: 0
      app^2_filter	w: 0
      app^1_map	w: 0
      app^2_cons	w: 0
      #app^2_*	w: 0
      app^2_map	w: 0
      #app^2_filter	w: 0
      * 	w: 0
      #app^2_+	w: x1
      app	w: 0
    USABLE RULES: { }
    Removed DPs: #19 #20
Number of SCCs: 2, DPs: 14
  SCC { #2 #3 #12 #13 #15 #16 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  failed.