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


--------------------------------------------------------------------------------


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: lambda(x) -> x
    5: a(x,y) -> x
    6: a(x,y) -> y
    7: p(x,y) -> x
    8: p(x,y) -> y
Number of strict rules: 8
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a(p(x,y),z) -> #p(a(x,z),a(y,z))
   #2: #a(p(x,y),z) -> #a(x,z)
   #3: #a(p(x,y),z) -> #a(y,z)
   #4: #a(a(x,y),z) -> #a(x,a(y,z))
   #5: #a(a(x,y),z) -> #a(y,z)
   #6: #a(lambda(x),y) -> #lambda(a(x,p(1(),a(y,t()))))
   #7: #a(lambda(x),y) -> #a(x,p(1(),a(y,t())))
   #8: #a(lambda(x),y) -> #p(1(),a(y,t()))
   #9: #a(lambda(x),y) -> #a(y,t())
Number of SCCs: 1, DPs: 6
	SCC { #2..5 #7 #9 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  a(x1,x2)		w: (max{0, x2 + x1})
  1()		w: (0)
  #lambda(x1)		w: (0)
  t()		w: (0)
  lambda(x1)		w: (max{0, 39 + x1})
  #p(x1,x2)		w: (0)
  p(x1,x2)		w: (max{0, x2, x1})
  #a(x1,x2)		w: (max{0, 1 + x2 + x1})
    USABLE RULES: { 1..8 }
    Removed DPs: #7 #9
Number of SCCs: 1, DPs: 4
	SCC { #2..5 }
Sum... succeeded.
  a(x1,x2)		w: (1 + x2 + x1)
  1()		w: (1)
  #lambda(x1)		w: (0)
  t()		w: (1)
  lambda(x1)		w: (x1)
  #p(x1,x2)		w: (0)
  p(x1,x2)		w: (1 + x2 + x1)
  #a(x1,x2)		w: (8365 + x1)
    USABLE RULES: { 7 8 }
    Removed DPs: #2..5
Number of SCCs: 0, DPs: 0