/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(:(),app(app(:(),x),y)),z) -> app(app(:(),x),app(app(:(),y),z))
    2: app(app(:(),app(app(+(),x),y)),z) -> app(app(+(),app(app(:(),x),z)),app(app(:(),y),z))
    3: app(app(:(),z),app(app(+(),x),app(f,y))) -> app(app(:(),app(app(g(),z),y)),app(app(+(),x),a()))
    4: app(app(map(),f),nil()) -> nil()
    5: app(app(map(),f),app(app(cons(),x),xs)) -> app(app(cons(),app(f,x)),app(app(map(),f),xs))
    6: app(app(filter(),f),nil()) -> nil()
    7: app(app(filter(),f),app(app(cons(),x),xs)) -> app(app(app(app(filter2(),app(f,x)),f),x),xs)
    8: app(app(app(app(filter2(),true()),f),x),xs) -> app(app(cons(),x),app(app(filter(),f),xs))
    9: app(app(app(app(filter2(),false()),f),x),xs) -> app(app(filter(),f),xs)
Number of strict rules: 9
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #app(app(:(),app(app(+(),x),y)),z) -> #app(app(+(),app(app(:(),x),z)),app(app(:(),y),z))
   #2: #app(app(:(),app(app(+(),x),y)),z) -> #app(+(),app(app(:(),x),z))
   #3: #app(app(:(),app(app(+(),x),y)),z) -> #app(app(:(),x),z)
   #4: #app(app(:(),app(app(+(),x),y)),z) -> #app(:(),x)
   #5: #app(app(:(),app(app(+(),x),y)),z) -> #app(app(:(),y),z)
   #6: #app(app(:(),app(app(+(),x),y)),z) -> #app(:(),y)
   #7: #app(app(app(app(filter2(),false()),f),x),xs) -> #app(app(filter(),f),xs)
   #8: #app(app(app(app(filter2(),false()),f),x),xs) -> #app(filter(),f)
   #9: #app(app(filter(),f),app(app(cons(),x),xs)) -> #app(app(app(app(filter2(),app(f,x)),f),x),xs)
   #10: #app(app(filter(),f),app(app(cons(),x),xs)) -> #app(app(app(filter2(),app(f,x)),f),x)
   #11: #app(app(filter(),f),app(app(cons(),x),xs)) -> #app(app(filter2(),app(f,x)),f)
   #12: #app(app(filter(),f),app(app(cons(),x),xs)) -> #app(filter2(),app(f,x))
   #13: #app(app(filter(),f),app(app(cons(),x),xs)) -> #app(f,x)
   #14: #app(app(map(),f),app(app(cons(),x),xs)) -> #app(app(cons(),app(f,x)),app(app(map(),f),xs))
   #15: #app(app(map(),f),app(app(cons(),x),xs)) -> #app(cons(),app(f,x))
   #16: #app(app(map(),f),app(app(cons(),x),xs)) -> #app(f,x)
   #17: #app(app(map(),f),app(app(cons(),x),xs)) -> #app(app(map(),f),xs)
   #18: #app(app(:(),z),app(app(+(),x),app(f,y))) -> #app(app(:(),app(app(g(),z),y)),app(app(+(),x),a()))
   #19: #app(app(:(),z),app(app(+(),x),app(f,y))) -> #app(:(),app(app(g(),z),y))
   #20: #app(app(:(),z),app(app(+(),x),app(f,y))) -> #app(app(g(),z),y)
   #21: #app(app(:(),z),app(app(+(),x),app(f,y))) -> #app(g(),z)
   #22: #app(app(:(),z),app(app(+(),x),app(f,y))) -> #app(app(+(),x),a())
   #23: #app(app(:(),app(app(:(),x),y)),z) -> #app(app(:(),x),app(app(:(),y),z))
   #24: #app(app(:(),app(app(:(),x),y)),z) -> #app(app(:(),y),z)
   #25: #app(app(:(),app(app(:(),x),y)),z) -> #app(:(),y)
   #26: #app(app(app(app(filter2(),true()),f),x),xs) -> #app(app(cons(),x),app(app(filter(),f),xs))
   #27: #app(app(app(app(filter2(),true()),f),x),xs) -> #app(cons(),x)
   #28: #app(app(app(app(filter2(),true()),f),x),xs) -> #app(app(filter(),f),xs)
   #29: #app(app(app(app(filter2(),true()),f),x),xs) -> #app(filter(),f)
Number of SCCs: 2, DPs: 9
	SCC { #3 #5 #23 #24 }
Sum... succeeded.
  a()		w: (1)
  false()		w: (11798)
  true()		w: (1)
  filter2()		w: (1)
  :()		w: (1)
  nil()		w: (21239)
  #app(x1,x2)		w: (8365 + x1)
  map()		w: (8856)
  cons()		w: (2438)
  filter()		w: (11802)
  +()		w: (1)
  g()		w: (1)
  app(x1,x2)		w: (1 + x2 + x1)
    USABLE RULES: { }
    Removed DPs: #3 #5 #23 #24
Number of SCCs: 1, DPs: 5
	SCC { #7 #13 #16 #17 #28 }
Sum... succeeded.
  a()		w: (1)
  false()		w: (1)
  true()		w: (282)
  filter2()		w: (1143)
  :()		w: (1)
  nil()		w: (5854)
  #app(x1,x2)		w: (x1)
  map()		w: (1)
  cons()		w: (1425)
  filter()		w: (1)
  +()		w: (19284)
  g()		w: (1)
  app(x1,x2)		w: (210 + x2 + x1)
    USABLE RULES: { }
    Removed DPs: #7 #13 #16 #28
Number of SCCs: 1, DPs: 1
	SCC { #17 }
Sum... Max... succeeded.
  a()		w: (0)
  false()		w: (0)
  true()		w: (0)
  filter2()		w: (0)
  :()		w: (0)
  nil()		w: (0)
  #app(x1,x2)		w: (max{x2, 0})
  map()		w: (0)
  cons()		w: (8365)
  filter()		w: (0)
  +()		w: (0)
  g()		w: (0)
  app(x1,x2)		w: (max{11799 + x2, 1 + x1})
    USABLE RULES: { }
    Removed DPs: #17
Number of SCCs: 0, DPs: 0