/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: a(lambda(x),y) -> lambda(a(x,p(1(),a(y,t()))))
    2: a(p(x,y),z) -> p(a(x,z),a(y,z))
    3: a(a(x,y),z) -> a(x,a(y,z))
    4: a(id(),x) -> x
    5: a(1(),id()) -> 1()
    6: a(t(),id()) -> t()
    7: a(1(),p(x,y)) -> x
    8: a(t(),p(x,y)) -> y
Number of strict rules: 8
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a(p(x,y),z) -> #a(x,z)
   #2: #a(p(x,y),z) -> #a(y,z)
   #3: #a(a(x,y),z) -> #a(x,a(y,z))
   #4: #a(a(x,y),z) -> #a(y,z)
   #5: #a(lambda(x),y) -> #a(x,p(1(),a(y,t())))
   #6: #a(lambda(x),y) -> #a(y,t())
Number of SCCs: 1, DPs: 6
	SCC { #1..6 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  a(x1,x2)		w: (max{0, x2 + x1})
  1()		w: (0)
  t()		w: (0)
  lambda(x1)		w: (max{0, 8856 + x1})
  p(x1,x2)		w: (max{0, x2, x1})
  id()		w: (1)
  #a(x1,x2)		w: (max{0, 20163 + x2 + x1})
    USABLE RULES: { 1..8 }
    Removed DPs: #5 #6
Number of SCCs: 1, DPs: 4
	SCC { #1..4 }
Sum... succeeded.
  a(x1,x2)		w: (2438 + x2 + x1)
  1()		w: (1)
  t()		w: (1)
  lambda(x1)		w: (1 + x1)
  p(x1,x2)		w: (8856 + x2 + x1)
  id()		w: (1)
  #a(x1,x2)		w: (x1)
    USABLE RULES: { }
    Removed DPs: #1..4
Number of SCCs: 0, DPs: 0