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


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YES
Input TRS:
    1: a__from(X) -> cons(mark(X),from(s(X)))
    2: a__length(nil()) -> 0()
    3: a__length(cons(X,Y)) -> s(a__length1(Y))
    4: a__length1(X) -> a__length(X)
    5: mark(from(X)) -> a__from(mark(X))
    6: mark(length(X)) -> a__length(X)
    7: mark(length1(X)) -> a__length1(X)
    8: mark(cons(X1,X2)) -> cons(mark(X1),X2)
    9: mark(s(X)) -> s(mark(X))
    10: mark(nil()) -> nil()
    11: mark(0()) -> 0()
    12: a__from(X) -> from(X)
    13: a__length(X) -> length(X)
    14: a__length1(X) -> length1(X)
Number of strict rules: 14
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #mark(length(X)) -> #a__length(X)
   #2: #mark(s(X)) -> #mark(X)
   #3: #mark(length1(X)) -> #a__length1(X)
   #4: #mark(from(X)) -> #a__from(mark(X))
   #5: #mark(from(X)) -> #mark(X)
   #6: #a__length(cons(X,Y)) -> #a__length1(Y)
   #7: #a__from(X) -> #mark(X)
   #8: #mark(cons(X1,X2)) -> #mark(X1)
   #9: #a__length1(X) -> #a__length(X)
Number of SCCs: 2, DPs: 7
	SCC { #6 #9 }
Sum... succeeded.
  #a__length1(x1)		w: (1 + x1)
  s(x1)		w: (0)
  #a__from(x1)		w: (0)
  a__from(x1)		w: (0)
  length1(x1)		w: (0)
  a__length1(x1)		w: (0)
  #mark(x1)		w: (0)
  0()		w: (0)
  from(x1)		w: (0)
  nil()		w: (0)
  mark(x1)		w: (0)
  #a__length(x1)		w: (x1)
  cons(x1,x2)		w: (2 + x2)
  length(x1)		w: (0)
  a__length(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #6 #9
Number of SCCs: 1, DPs: 5
	SCC { #2 #4 #5 #7 #8 }
Sum... succeeded.
  #a__length1(x1)		w: (1)
  s(x1)		w: (x1)
  #a__from(x1)		w: (1 + x1)
  a__from(x1)		w: (19015 + x1)
  length1(x1)		w: (1)
  a__length1(x1)		w: (1)
  #mark(x1)		w: (x1)
  0()		w: (1)
  from(x1)		w: (19015 + x1)
  nil()		w: (21239)
  mark(x1)		w: (11294 + x1)
  #a__length(x1)		w: (0)
  cons(x1,x2)		w: (1 + x1)
  length(x1)		w: (1)
  a__length(x1)		w: (1)
    USABLE RULES: { 1..14 }
    Removed DPs: #4 #5 #7 #8
Number of SCCs: 1, DPs: 1
	SCC { #2 }
Sum... succeeded.
  #a__length1(x1)		w: (1)
  s(x1)		w: (1 + x1)
  #a__from(x1)		w: (1)
  a__from(x1)		w: (3 + x1)
  length1(x1)		w: (1)
  a__length1(x1)		w: (1)
  #mark(x1)		w: (x1)
  0()		w: (1)
  from(x1)		w: (3 + x1)
  nil()		w: (2)
  mark(x1)		w: (2)
  #a__length(x1)		w: (0)
  cons(x1,x2)		w: (1 + x1)
  length(x1)		w: (1)
  a__length(x1)		w: (2)
    USABLE RULES: { 2 10..14 }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0