/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: active(c()) -> mark(f(g(c())))
    2: active(f(g(X))) -> mark(g(X))
    3: proper(c()) -> ok(c())
    4: proper(f(X)) -> f(proper(X))
    5: proper(g(X)) -> g(proper(X))
    6: f(ok(X)) -> ok(f(X))
    7: g(ok(X)) -> ok(g(X))
    8: top(mark(X)) -> top(proper(X))
    9: top(ok(X)) -> top(active(X))
Number of strict rules: 9
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(ok(X)) -> #f(X)
   #2: #top(ok(X)) -> #top(active(X))
   #3: #top(ok(X)) -> #active(X)
   #4: #g(ok(X)) -> #g(X)
   #5: #proper(g(X)) -> #g(proper(X))
   #6: #proper(g(X)) -> #proper(X)
   #7: #active(c()) -> #f(g(c()))
   #8: #active(c()) -> #g(c())
   #9: #top(mark(X)) -> #top(proper(X))
   #10: #top(mark(X)) -> #proper(X)
   #11: #proper(f(X)) -> #f(proper(X))
   #12: #proper(f(X)) -> #proper(X)
Number of SCCs: 4, DPs: 6
	SCC { #4 }
Sum... succeeded.
  top(x1)		w: (0)
  #top(x1)		w: (0)
  c()		w: (0)
  f(x1)		w: (0)
  proper(x1)		w: (0)
  ok(x1)		w: (1 + x1)
  mark(x1)		w: (0)
  #f(x1)		w: (0)
  #g(x1)		w: (x1)
  #proper(x1)		w: (0)
  active(x1)		w: (0)
  #active(x1)		w: (0)
  g(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 3, DPs: 5
	SCC { #1 }
Sum... succeeded.
  top(x1)		w: (0)
  #top(x1)		w: (0)
  c()		w: (0)
  f(x1)		w: (0)
  proper(x1)		w: (0)
  ok(x1)		w: (1 + x1)
  mark(x1)		w: (0)
  #f(x1)		w: (x1)
  #g(x1)		w: (0)
  #proper(x1)		w: (0)
  active(x1)		w: (0)
  #active(x1)		w: (0)
  g(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 2, DPs: 4
	SCC { #6 #12 }
Sum... succeeded.
  top(x1)		w: (0)
  #top(x1)		w: (0)
  c()		w: (0)
  f(x1)		w: (1 + x1)
  proper(x1)		w: (0)
  ok(x1)		w: (1)
  mark(x1)		w: (0)
  #f(x1)		w: (0)
  #g(x1)		w: (0)
  #proper(x1)		w: (x1)
  active(x1)		w: (0)
  #active(x1)		w: (0)
  g(x1)		w: (1 + x1)
    USABLE RULES: { }
    Removed DPs: #6 #12
Number of SCCs: 1, DPs: 2
	SCC { #2 #9 }
Sum... succeeded.
  top(x1)		w: (0)
  #top(x1)		w: (x1)
  c()		w: (41360)
  f(x1)		w: (20821)
  proper(x1)		w: (1 + x1)
  ok(x1)		w: (x1)
  mark(x1)		w: (20539 + x1)
  #f(x1)		w: (0)
  #g(x1)		w: (0)
  #proper(x1)		w: (0)
  active(x1)		w: (x1)
  #active(x1)		w: (0)
  g(x1)		w: (1)
    USABLE RULES: { 1..7 }
    Removed DPs: #9
Number of SCCs: 0, DPs: 0