/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 poly ... failed.
Freezing 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 poly ... 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 }
Sum... succeeded.
  #app❆2_map(x1,x2)		w: (x2 + x1)
  /()		w: (1)
  app❆1_map(x1)		w: (8858 + x1)
  \\()		w: (1)
  app❆4_filter2(x1,x2,x3,x4)		w: (35429)
  app❆1_.(x1)		w: (8858 + x1)
  #app❆2_/(x1,x2)		w: (0)
  app❆2_map(x1,x2)		w: (17715 + x2 + x1)
  app❆2_\\(x1,x2)		w: (17715 + x2 + x1)
  false()		w: (1)
  true()		w: (1)
  filter2()		w: (1)
  app❆2_filter(x1,x2)		w: (35430 + x2 + x1)
  #app❆2_.(x1,x2)		w: (0)
  app❆1_/(x1)		w: (8858)
  app❆2_.(x1,x2)		w: (17715 + x2)
  nil()		w: (1)
  app❆1_filter(x1)		w: (8858 + x1)
  #app(x1,x2)		w: (x2 + x1)
  map()		w: (1)
  #app❆4_filter2(x1,x2,x3,x4)		w: (1 + x4 + x2)
  .()		w: (1)
  app❆2_filter2(x1,x2)		w: (17715)
  e()		w: (17716)
  #app❆2_filter(x1,x2)		w: (x2 + x1)
  cons()		w: (1)
  app❆2_cons(x1,x2)		w: (17715 + x2 + x1)
  app❆2_/(x1,x2)		w: (17715 + x2 + x1)
  filter()		w: (1)
  app❆1_\\(x1)		w: (8858 + x1)
  app❆1_filter2(x1)		w: (8858 + x1)
  app❆1_cons(x1)		w: (8858)
  app❆3_filter2(x1,x2,x3)		w: (26572 + x3 + x2 + x1)
  #app❆2_\\(x1,x2)		w: (0)
  app(x1,x2)		w: (8856 + x1)
    USABLE RULES: { }
    Removed DPs: #1..4 #7 #8 #10..12
Number of SCCs: 0, DPs: 0