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


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


YES
Input TRS:
    1: a__eq(0(),0()) -> true()
    2: a__eq(s(X),s(Y)) -> a__eq(X,Y)
    3: a__eq(X,Y) -> false()
    4: a__inf(X) -> cons(X,inf(s(X)))
    5: a__take(0(),X) -> nil()
    6: a__take(s(X),cons(Y,L)) -> cons(Y,take(X,L))
    7: a__length(nil()) -> 0()
    8: a__length(cons(X,L)) -> s(length(L))
    9: mark(eq(X1,X2)) -> a__eq(X1,X2)
    10: mark(inf(X)) -> a__inf(mark(X))
    11: mark(take(X1,X2)) -> a__take(mark(X1),mark(X2))
    12: mark(length(X)) -> a__length(mark(X))
    13: mark(0()) -> 0()
    14: mark(true()) -> true()
    15: mark(s(X)) -> s(X)
    16: mark(false()) -> false()
    17: mark(cons(X1,X2)) -> cons(X1,X2)
    18: mark(nil()) -> nil()
    19: a__eq(X1,X2) -> eq(X1,X2)
    20: a__inf(X) -> inf(X)
    21: a__take(X1,X2) -> take(X1,X2)
    22: a__length(X) -> length(X)
Number of strict rules: 22
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #a__eq(s(X),s(Y)) -> #a__eq(X,Y)
   #2: #mark(eq(X1,X2)) -> #a__eq(X1,X2)
   #3: #mark(take(X1,X2)) -> #a__take(mark(X1),mark(X2))
   #4: #mark(take(X1,X2)) -> #mark(X1)
   #5: #mark(take(X1,X2)) -> #mark(X2)
   #6: #mark(length(X)) -> #a__length(mark(X))
   #7: #mark(length(X)) -> #mark(X)
   #8: #mark(inf(X)) -> #a__inf(mark(X))
   #9: #mark(inf(X)) -> #mark(X)
Number of SCCs: 2, DPs: 5
	SCC { #1 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  take(x1,x2)		w: (0)
  eq(x1,x2)		w: (0)
  false()		w: (0)
  a__inf(x1)		w: (0)
  a__eq(x1,x2)		w: (0)
  #a__take(x1,x2)		w: (0)
  true()		w: (0)
  #mark(x1)		w: (0)
  0()		w: (0)
  nil()		w: (0)
  mark(x1)		w: (0)
  #a__inf(x1)		w: (0)
  #a__length(x1)		w: (0)
  cons(x1,x2)		w: (0)
  a__take(x1,x2)		w: (0)
  length(x1)		w: (0)
  inf(x1)		w: (0)
  a__length(x1)		w: (0)
  #a__eq(x1,x2)		w: (x2 + x1)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 1, DPs: 4
	SCC { #4 #5 #7 #9 }
Sum... succeeded.
  s(x1)		w: (1)
  take(x1,x2)		w: (1 + x2 + x1)
  eq(x1,x2)		w: (0)
  false()		w: (0)
  a__inf(x1)		w: (0)
  a__eq(x1,x2)		w: (0)
  #a__take(x1,x2)		w: (0)
  true()		w: (0)
  #mark(x1)		w: (x1)
  0()		w: (0)
  nil()		w: (0)
  mark(x1)		w: (0)
  #a__inf(x1)		w: (0)
  #a__length(x1)		w: (0)
  cons(x1,x2)		w: (0)
  a__take(x1,x2)		w: (0)
  length(x1)		w: (1 + x1)
  inf(x1)		w: (1 + x1)
  a__length(x1)		w: (0)
  #a__eq(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #4 #5 #7 #9
Number of SCCs: 0, DPs: 0