/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(zeros()) -> mark(cons(0(),zeros()))
    2: active(tail(cons(X,XS))) -> mark(XS)
    3: active(cons(X1,X2)) -> cons(active(X1),X2)
    4: active(tail(X)) -> tail(active(X))
    5: cons(mark(X1),X2) -> mark(cons(X1,X2))
    6: tail(mark(X)) -> mark(tail(X))
    7: proper(zeros()) -> ok(zeros())
    8: proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
    9: proper(0()) -> ok(0())
    10: proper(tail(X)) -> tail(proper(X))
    11: cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
    12: tail(ok(X)) -> ok(tail(X))
    13: top(mark(X)) -> top(proper(X))
    14: top(ok(X)) -> top(active(X))
Number of strict rules: 14
Direct poly ... removes: 2
  top(x1)		w: (12830 + x1)
  zeros()		w: (27570)
  tail(x1)		w: (1 + x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (x1)
  0()		w: (0)
  mark(x1)		w: (x1)
  active(x1)		w: (x1)
  cons(x1,x2)		w: (x2 + x1)
Number of strict rules: 13
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #tail(mark(X)) -> #tail(X)
   #2: #top(mark(X)) -> #top(proper(X))
   #3: #top(mark(X)) -> #proper(X)
   #4: #cons(ok(X1),ok(X2)) -> #cons(X1,X2)
   #5: #tail(ok(X)) -> #tail(X)
   #6: #top(ok(X)) -> #top(active(X))
   #7: #top(ok(X)) -> #active(X)
   #8: #proper(tail(X)) -> #tail(proper(X))
   #9: #proper(tail(X)) -> #proper(X)
   #10: #cons(mark(X1),X2) -> #cons(X1,X2)
   #11: #active(cons(X1,X2)) -> #cons(active(X1),X2)
   #12: #active(cons(X1,X2)) -> #active(X1)
   #13: #active(zeros()) -> #cons(0(),zeros())
   #14: #proper(cons(X1,X2)) -> #cons(proper(X1),proper(X2))
   #15: #proper(cons(X1,X2)) -> #proper(X1)
   #16: #proper(cons(X1,X2)) -> #proper(X2)
   #17: #active(tail(X)) -> #tail(active(X))
   #18: #active(tail(X)) -> #active(X)
Number of SCCs: 5, DPs: 11
	SCC { #1 #5 }
Sum... succeeded.
  #cons(x1,x2)		w: (0)
  top(x1)		w: (0)
  #top(x1)		w: (0)
  zeros()		w: (0)
  tail(x1)		w: (0)
  proper(x1)		w: (0)
  ok(x1)		w: (1 + x1)
  0()		w: (0)
  #tail(x1)		w: (x1)
  mark(x1)		w: (1 + x1)
  #proper(x1)		w: (0)
  active(x1)		w: (0)
  cons(x1,x2)		w: (0)
  #active(x1)		w: (0)
    USABLE RULES: { }
    Removed DPs: #1 #5
Number of SCCs: 4, DPs: 9
	SCC { #12 #18 }
Sum... succeeded.
  #cons(x1,x2)		w: (0)
  top(x1)		w: (0)
  #top(x1)		w: (0)
  zeros()		w: (0)
  tail(x1)		w: (1 + x1)
  proper(x1)		w: (0)
  ok(x1)		w: (1)
  0()		w: (0)
  #tail(x1)		w: (0)
  mark(x1)		w: (1)
  #proper(x1)		w: (0)
  active(x1)		w: (0)
  cons(x1,x2)		w: (1 + x1)
  #active(x1)		w: (x1)
    USABLE RULES: { }
    Removed DPs: #12 #18
Number of SCCs: 3, DPs: 7
	SCC { #2 #6 }
Sum... succeeded.
  #cons(x1,x2)		w: (0)
  top(x1)		w: (0)
  #top(x1)		w: (x1)
  zeros()		w: (28999)
  tail(x1)		w: (1 + x1)
  proper(x1)		w: (21240 + x1)
  ok(x1)		w: (21240 + x1)
  0()		w: (39)
  #tail(x1)		w: (0)
  mark(x1)		w: (21241 + x1)
  #proper(x1)		w: (0)
  active(x1)		w: (1 + x1)
  cons(x1,x2)		w: (7720 + x1)
  #active(x1)		w: (0)
    USABLE RULES: { 1 3..12 }
    Removed DPs: #2 #6
Number of SCCs: 2, DPs: 5
	SCC { #4 #10 }
Sum... succeeded.
  #cons(x1,x2)		w: (5853 + x2 + x1)
  top(x1)		w: (0)
  #top(x1)		w: (x1)
  zeros()		w: (28999)
  tail(x1)		w: (1 + x1)
  proper(x1)		w: (1 + x1)
  ok(x1)		w: (1 + x1)
  0()		w: (11946)
  #tail(x1)		w: (0)
  mark(x1)		w: (1 + x1)
  #proper(x1)		w: (0)
  active(x1)		w: (1 + x1)
  cons(x1,x2)		w: (7720 + x1)
  #active(x1)		w: (0)
    USABLE RULES: { 1 3..12 }
    Removed DPs: #4 #10
Number of SCCs: 1, DPs: 3
	SCC { #9 #15 #16 }
Sum... succeeded.
  #cons(x1,x2)		w: (5853)
  top(x1)		w: (0)
  #top(x1)		w: (0)
  zeros()		w: (8946)
  tail(x1)		w: (14681 + x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (1 + x1)
  0()		w: (20977)
  #tail(x1)		w: (0)
  mark(x1)		w: (2998 + x1)
  #proper(x1)		w: (x1)
  active(x1)		w: (50261 + x1)
  cons(x1,x2)		w: (1 + x2 + x1)
  #active(x1)		w: (0)
    USABLE RULES: { 1 3..6 11 12 }
    Removed DPs: #9 #15 #16
Number of SCCs: 0, DPs: 0