/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,1()))
    2: a(lambda(x),y) -> lambda(a(x,a(y,t())))
    3: a(a(x,y),z) -> a(x,a(y,z))
    4: lambda(x) -> x
    5: a(x,y) -> x
    6: a(x,y) -> y
Number of strict rules: 6
Direct poly ... removes: 4
  a(x1,x2)		w: (x2 + x1)
  1()		w: (0)
  t()		w: (0)
  lambda(x1)		w: (8366 + x1)
Number of strict rules: 5
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a(lambda(x),y) -> #a(x,a(y,t()))
   #2: #a(lambda(x),y) -> #a(y,t())
   #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,1())
Number of SCCs: 1, DPs: 5
	SCC { #1..5 }
Sum... succeeded.
  a(x1,x2)		w: (x2 + x1)
  1()		w: (0)
  t()		w: (0)
  lambda(x1)		w: (2 + x1)
  #a(x1,x2)		w: (2437 + x2 + x1)
    USABLE RULES: { 1..3 5 6 }
    Removed DPs: #1 #2 #5
Number of SCCs: 1, DPs: 2
	SCC { #3 #4 }
Sum... succeeded.
  a(x1,x2)		w: (1 + x2 + x1)
  1()		w: (0)
  t()		w: (0)
  lambda(x1)		w: (3 + x1)
  #a(x1,x2)		w: (2437 + x1)
    USABLE RULES: { }
    Removed DPs: #3 #4
Number of SCCs: 0, DPs: 0