/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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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 poly ... failed.
Freezing 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 poly ... 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 }
Sum... succeeded.
  #app❆2_map(x1,x2)		w: (0)
  app❆1_map(x1)		w: (0)
  app❆4_filter2(x1,x2,x3,x4)		w: (0)
  app❆2_*(x1,x2)		w: (0)
  app❆2_map(x1,x2)		w: (0)
  false()		w: (0)
  true()		w: (0)
  filter2()		w: (0)
  app❆2_filter(x1,x2)		w: (0)
  app❆2_+(x1,x2)		w: (1 + x2 + x1)
  nil()		w: (0)
  app❆1_filter(x1)		w: (0)
  #app(x1,x2)		w: (0)
  map()		w: (0)
  #app❆4_filter2(x1,x2,x3,x4)		w: (0)
  app❆2_filter2(x1,x2)		w: (0)
  #app❆2_filter(x1,x2)		w: (0)
  app❆1_*(x1)		w: (0)
  #app❆2_+(x1,x2)		w: (x1)
  cons()		w: (0)
  app❆2_cons(x1,x2)		w: (0)
  filter()		w: (0)
  +()		w: (0)
  app❆1_+(x1)		w: (0)
  app❆1_filter2(x1)		w: (0)
  #app❆2_*(x1,x2)		w: (0)
  app❆1_cons(x1)		w: (0)
  app❆3_filter2(x1,x2,x3)		w: (0)
  *()		w: (0)
  app(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #19 #20
Number of SCCs: 2, DPs: 14
	SCC { #2 #3 #12 #13 #15 #16 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... failed.
Finding a loop...  failed.