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


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NO
Input TRS:
    1: incr(nil()) -> nil()
    2: incr(cons(X,L)) -> cons(s(X),n__incr(activate(L)))
    3: adx(nil()) -> nil()
    4: adx(cons(X,L)) -> incr(cons(X,n__adx(activate(L))))
    5: nats() -> adx(zeros())
    6: zeros() -> cons(0(),n__zeros())
    7: head(cons(X,L)) -> X
    8: tail(cons(X,L)) -> activate(L)
    9: incr(X) -> n__incr(X)
    10: adx(X) -> n__adx(X)
    11: zeros() -> n__zeros()
    12: activate(n__incr(X)) -> incr(activate(X))
    13: activate(n__adx(X)) -> adx(activate(X))
    14: activate(n__zeros()) -> zeros()
    15: activate(X) -> X
Number of strict rules: 15
Direct poly ... removes: 8 3 5 7
  incr(x1)		w: (x1)
  s(x1)		w: (x1)
  n__adx(x1)		w: (868 + x1)
  activate(x1)		w: (x1)
  n__zeros()		w: (6879)
  adx(x1)		w: (868 + x1)
  zeros()		w: (6879)
  tail(x1)		w: (3 + x1)
  0()		w: (0)
  nil()		w: (29534)
  nats()		w: (7748)
  head(x1)		w: (1 + x1)
  cons(x1,x2)		w: (x2 + x1)
  n__incr(x1)		w: (x1)
Number of strict rules: 11
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #incr(cons(X,L)) -> #activate(L)
   #2: #activate(n__adx(X)) -> #adx(activate(X))
   #3: #activate(n__adx(X)) -> #activate(X)
   #4: #activate(n__incr(X)) -> #incr(activate(X))
   #5: #activate(n__incr(X)) -> #activate(X)
   #6: #activate(n__zeros()) -> #zeros()
   #7: #adx(cons(X,L)) -> #incr(cons(X,n__adx(activate(L))))
   #8: #adx(cons(X,L)) -> #activate(L)
Number of SCCs: 1, DPs: 7
	SCC { #1..5 #7 #8 }
Sum... succeeded.
  #adx(x1)		w: (32531 + x1)
  incr(x1)		w: (x1)
  s(x1)		w: (1)
  n__adx(x1)		w: (2438 + x1)
  activate(x1)		w: (x1)
  n__zeros()		w: (32286)
  #activate(x1)		w: (30093 + x1)
  adx(x1)		w: (2438 + x1)
  zeros()		w: (32286)
  tail(x1)		w: (0)
  0()		w: (1)
  #zeros()		w: (0)
  nil()		w: (20163)
  #incr(x1)		w: (30093 + x1)
  nats()		w: (0)
  head(x1)		w: (0)
  cons(x1,x2)		w: (x2)
  n__incr(x1)		w: (x1)
    USABLE RULES: { 1 2 4 6 9..15 }
    Removed DPs: #3 #8
Number of SCCs: 1, DPs: 5
	SCC { #1 #2 #4 #5 #7 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... succeeded.
  #adx(x1)		w: (max{0, 1064}, -15447)
  incr(x1)		w: (max{0, 20862 + x1_1}, 0)
  s(x1)		w: (max{0, -15329}, -1)
  n__adx(x1)		w: (max{0, 21925}, -1)
  activate(x1)		w: (max{0, x1_1}, 0)
  n__zeros()		w: (15081, -1)
  #activate(x1)		w: (max{0, -20861 + x1_1}, -15447)
  adx(x1)		w: (max{0, 21925}, 0)
  zeros()		w: (15081, -1)
  tail(x1)		w: (0, 0)
  0()		w: (1, -2)
  #zeros()		w: (0, 0)
  nil()		w: (0, -9048)
  #incr(x1)		w: (max{0, 1 + x1_1}, -15447)
  nats()		w: (0, 0)
  head(x1)		w: (0, 0)
  cons(x1,x2)		w: (max{0, -20862 + x2_1}, -23641 + x1_2)
  n__incr(x1)		w: (max{0, 20862 + x1_1}, -1)
    USABLE RULES: { 1 2 4 6 9..15 }
    Removed DPs: #5
Number of SCCs: 1, DPs: 4
	SCC { #1 #2 #4 #7 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... failed.
Finding a loop...  found.
  #adx(cons(X_{1},n__zeros()))	-#7->
  #incr(cons(X_{1},n__adx(activate(n__zeros()))))	--->*
  #incr(cons(X_{1},n__adx(activate(n__zeros()))))	-#1->
  #activate(n__adx(activate(n__zeros())))	--->*
  #activate(n__adx(activate(n__zeros())))	-#2->
  #adx(activate(activate(n__zeros())))	--->*
  #adx(cons(0(),n__zeros()))
  Looping with: [ X_{1} := 0(); ]