/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__from(X) -> cons(mark(X),from(s(X)))
    2: a__after(0(),XS) -> mark(XS)
    3: a__after(s(N),cons(X,XS)) -> a__after(mark(N),mark(XS))
    4: mark(from(X)) -> a__from(mark(X))
    5: mark(after(X1,X2)) -> a__after(mark(X1),mark(X2))
    6: mark(cons(X1,X2)) -> cons(mark(X1),X2)
    7: mark(s(X)) -> s(mark(X))
    8: mark(0()) -> 0()
    9: a__from(X) -> from(X)
    10: a__after(X1,X2) -> after(X1,X2)
Number of strict rules: 10
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a__after(0(),XS) -> #mark(XS)
   #2: #mark(cons(X1,X2)) -> #mark(X1)
   #3: #mark(s(X)) -> #mark(X)
   #4: #mark(after(X1,X2)) -> #a__after(mark(X1),mark(X2))
   #5: #mark(after(X1,X2)) -> #mark(X1)
   #6: #mark(after(X1,X2)) -> #mark(X2)
   #7: #a__after(s(N),cons(X,XS)) -> #a__after(mark(N),mark(XS))
   #8: #a__after(s(N),cons(X,XS)) -> #mark(N)
   #9: #a__after(s(N),cons(X,XS)) -> #mark(XS)
   #10: #a__from(X) -> #mark(X)
   #11: #mark(from(X)) -> #a__from(mark(X))
   #12: #mark(from(X)) -> #mark(X)
Number of SCCs: 1, DPs: 12
	SCC { #1..12 }
Sum... Max... succeeded.
  s(x1)		w: (x1)
  #a__from(x1)		w: (38978 + x1)
  a__from(x1)		w: (8367 + x1)
  after(x1,x2)		w: (max{11801 + x2, 11799 + x1})
  #a__after(x1,x2)		w: (max{42412 + x2, 30613 + x1})
  a__after(x1,x2)		w: (max{11801 + x2, 11799 + x1})
  #mark(x1)		w: (30612 + x1)
  0()		w: (32286)
  from(x1)		w: (8367 + x1)
  mark(x1)		w: (x1)
  cons(x1,x2)		w: (max{x2, 6284 + x1})
    USABLE RULES: { 1..10 }
    Removed DPs: #1 #2 #4..6 #8..12
Number of SCCs: 2, DPs: 2
	SCC { #3 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  #a__from(x1)		w: (0)
  a__from(x1)		w: (5856)
  after(x1,x2)		w: (2 + x1)
  #a__after(x1,x2)		w: (0)
  a__after(x1,x2)		w: (1 + x2)
  #mark(x1)		w: (x1)
  0()		w: (5856)
  from(x1)		w: (5857)
  mark(x1)		w: (5855)
  cons(x1,x2)		w: (5857)
    USABLE RULES: { }
    Removed DPs: #3
Number of SCCs: 1, DPs: 1
	SCC { #7 }
Sum... succeeded.
  s(x1)		w: (3 + x1)
  #a__from(x1)		w: (0)
  a__from(x1)		w: (3)
  after(x1,x2)		w: (2 + x2)
  #a__after(x1,x2)		w: (2 + x1)
  a__after(x1,x2)		w: (2 + x2)
  #mark(x1)		w: (0)
  0()		w: (1)
  from(x1)		w: (1)
  mark(x1)		w: (2 + x1)
  cons(x1,x2)		w: (2 + x2)
    USABLE RULES: { 1..10 }
    Removed DPs: #7
Number of SCCs: 0, DPs: 0