/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(\\(),x),x) -> e()
    2: app(app(\\(),e()),x) -> x
    3: app(app(\\(),x),app(app(.(),x),y)) -> y
    4: app(app(\\(),app(app(/(),x),y)),x) -> y
    5: app(app(/(),x),x) -> e()
    6: app(app(/(),x),e()) -> x
    7: app(app(/(),app(app(.(),y),x)),x) -> y
    8: app(app(/(),x),app(app(\\(),y),x)) -> y
    9: app(app(.(),e()),x) -> x
    10: app(app(.(),x),e()) -> x
    11: app(app(.(),x),app(app(\\(),x),y)) -> y
    12: app(app(.(),app(app(/(),y),x)),x) -> y
    13: app(app(map(),f),nil()) -> nil()
    14: app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs))
    15: app(app(filter(),f),nil()) -> nil()
    16: app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(f,x)),f),x),xs)
    17: app(app(app(app(filter2(),true()),f),x),xs) -> app(app(cons(),x),app(app(filter(),f),xs))
    18: app(app(app(app(filter2(),false()),f),x),xs) -> app(app(filter(),f),xs)
Number of strict rules: 18
Direct POLO(bPol) ... failed.
Uncurrying app
1: app^2_\\(x,x) -> e()
2: app^2_\\(e(),x) -> x
3: app^2_\\(x,app^2_.(x,y)) -> y
4: app^2_\\(app^2_/(x,y),x) -> y
5: app^2_/(x,x) -> e()
6: app^2_/(x,e()) -> x
7: app^2_/(app^2_.(y,x),x) -> y
8: app^2_/(x,app^2_\\(y,x)) -> y
9: app^2_.(e(),x) -> x
10: app^2_.(x,e()) -> x
11: app^2_.(x,app^2_\\(x,y)) -> y
12: app^2_.(app^2_/(y,x),x) -> y
13: app^2_map(f,nil()) -> nil()
14: app^2_map(f,app^2_cons(x,xs)) -> app^2_cons(app(f,x),app^2_map(f,xs))
15: app^2_filter(f,nil()) -> nil()
16: app^2_filter(f,app^2_cons(x,xs)) -> app^4_filter2(app(f,x),f,x,xs)
17: app^4_filter2(true(),f,x,xs) -> app^2_cons(x,app^2_filter(f,xs))
18: app^4_filter2(false(),f,x,xs) -> app^2_filter(f,xs)
19: app(cons(),_1) ->= app^1_cons(_1)
20: app(app^1_cons(_1),_2) ->= app^2_cons(_1,_2)
21: app(/(),_1) ->= app^1_/(_1)
22: app(app^1_/(_1),_2) ->= app^2_/(_1,_2)
23: app(filter(),_1) ->= app^1_filter(_1)
24: app(app^1_filter(_1),_2) ->= app^2_filter(_1,_2)
25: app(\\(),_1) ->= app^1_\\(_1)
26: app(app^1_\\(_1),_2) ->= app^2_\\(_1,_2)
27: app(map(),_1) ->= app^1_map(_1)
28: app(app^1_map(_1),_2) ->= app^2_map(_1,_2)
29: app(filter2(),_1) ->= app^1_filter2(_1)
30: app(app^1_filter2(_1),_2) ->= app^2_filter2(_1,_2)
31: app(app^2_filter2(_1,_2),_3) ->= app^3_filter2(_1,_2,_3)
32: app(app^3_filter2(_1,_2,_3),_4) ->= app^4_filter2(_1,_2,_3,_4)
33: app(.(),_1) ->= app^1_.(_1)
34: app(app^1_.(_1),_2) ->= app^2_.(_1,_2)
Number of strict rules: 18
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #app(app^1_filter(_1),_2) ->? #app^2_filter(_1,_2)
   #2: #app^2_map(f,app^2_cons(x,xs)) -> #app(f,x)
   #3: #app^2_map(f,app^2_cons(x,xs)) -> #app^2_map(f,xs)
   #4: #app(app^1_map(_1),_2) ->? #app^2_map(_1,_2)
   #5: #app(app^1_/(_1),_2) ->? #app^2_/(_1,_2)
   #6: #app(app^1_.(_1),_2) ->? #app^2_.(_1,_2)
   #7: #app^4_filter2(true(),f,x,xs) -> #app^2_filter(f,xs)
   #8: #app(app^3_filter2(_1,_2,_3),_4) ->? #app^4_filter2(_1,_2,_3,_4)
   #9: #app(app^1_\\(_1),_2) ->? #app^2_\\(_1,_2)
   #10: #app^2_filter(f,app^2_cons(x,xs)) -> #app^4_filter2(app(f,x),f,x,xs)
   #11: #app^2_filter(f,app^2_cons(x,xs)) -> #app(f,x)
   #12: #app^4_filter2(false(),f,x,xs) -> #app^2_filter(f,xs)
Number of SCCs: 1, DPs: 9
  SCC { #1..4 #7 #8 #10..12 }
POLO(Sum)... succeeded.
      app^2_\\	w: x1 + x2 + 4
      #app^2_\\	w: 0
      / 	w: 1
      #app^2_.	w: 0
      \\	w: 1
      app^1_cons	w: 1
      #app^2_map	w: x1 + x2
      app^2_filter2	w: 1
      app^4_filter2	w: x1 + x3 + 4
      app^1_/	w: 4
      false	w: 1
      app^2_.	w: x2 + 1
      app^1_filter2	w: 1
      true	w: 1
      filter2	w: 1
      #app^2_/	w: 0
      #app^4_filter2	w: x2 + x3 + x4 + 1
      nil	w: 7
      #app	w: x1 + x2
      map	w: 1
      app^1_filter	w: x1 + 1
      . 	w: 1
      app^1_\\	w: 1
      app^1_.	w: 1
      e 	w: 5
      cons	w: 1
      app^2_/	w: x2 + 1
      filter	w: 1
      app^3_filter2	w: x1 + x2 + x3 + 4
      app^2_filter	w: x1 + 6
      app^1_map	w: x1 + 4
      app^2_cons	w: x1 + x2 + 4
      app^2_map	w: 1
      #app^2_filter	w: x1 + x2
      app	w: x2 + 3
    USABLE RULES: { }
    Removed DPs: #1..4 #7 #8 #10..12
Number of SCCs: 0, DPs: 0