/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: circ(cons(a,s),t) -> cons(msubst(a,t),circ(s,t))
    2: circ(cons(lift(),s),cons(a,t)) -> cons(a,circ(s,t))
    3: circ(cons(lift(),s),cons(lift(),t)) -> cons(lift(),circ(s,t))
    4: circ(circ(s,t),u) -> circ(s,circ(t,u))
    5: circ(s,id()) -> s
    6: circ(id(),s) -> s
    7: circ(cons(lift(),s),circ(cons(lift(),t),u)) -> circ(cons(lift(),circ(s,t)),u)
    8: subst(a,id()) -> a
    9: msubst(a,id()) -> a
    10: msubst(msubst(a,s),t) -> msubst(a,circ(s,t))
Number of strict rules: 10
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #circ(cons(lift(),s),cons(a,t)) -> #circ(s,t)
   #2: #circ(cons(lift(),s),circ(cons(lift(),t),u)) -> #circ(cons(lift(),circ(s,t)),u)
   #3: #circ(cons(lift(),s),circ(cons(lift(),t),u)) -> #circ(s,t)
   #4: #msubst(msubst(a,s),t) -> #msubst(a,circ(s,t))
   #5: #msubst(msubst(a,s),t) -> #circ(s,t)
   #6: #circ(cons(lift(),s),cons(lift(),t)) -> #circ(s,t)
   #7: #circ(cons(a,s),t) -> #msubst(a,t)
   #8: #circ(cons(a,s),t) -> #circ(s,t)
   #9: #circ(circ(s,t),u) -> #circ(s,circ(t,u))
   #10: #circ(circ(s,t),u) -> #circ(t,u)
Number of SCCs: 1, DPs: 10
	SCC { #1..10 }
Sum... Max... QLPOpS... NegMaxSum... succeeded.
  #msubst(x1,x2)		w: (max{0, -1 + x2 + x1})
  lift()		w: (9645)
  msubst(x1,x2)		w: (max{0, 7722 + x2 + x1})
  subst(x1,x2)		w: (0)
  #circ(x1,x2)		w: (max{0, 1 + x2 + x1})
  #subst(x1,x2)		w: (0)
  cons(x1,x2)		w: (max{0, 7721 + x2, 5799 + x1})
  id()		w: (1)
  circ(x1,x2)		w: (max{0, 7722 + x2 + x1})
    USABLE RULES: { 1..7 9 10 }
    Removed DPs: #1..3 #5..8 #10
Number of SCCs: 2, DPs: 2
	SCC { #9 }
Sum... succeeded.
  #msubst(x1,x2)		w: (0)
  lift()		w: (0)
  msubst(x1,x2)		w: (2999 + x2)
  subst(x1,x2)		w: (0)
  #circ(x1,x2)		w: (14680 + x1)
  #subst(x1,x2)		w: (0)
  cons(x1,x2)		w: (8946 + x1)
  id()		w: (26286)
  circ(x1,x2)		w: (1 + x2 + x1)
    USABLE RULES: { }
    Removed DPs: #9
Number of SCCs: 1, DPs: 1
	SCC { #4 }
Sum... succeeded.
  #msubst(x1,x2)		w: (x1)
  lift()		w: (0)
  msubst(x1,x2)		w: (18459 + x2 + x1)
  subst(x1,x2)		w: (0)
  #circ(x1,x2)		w: (14680 + x1)
  #subst(x1,x2)		w: (0)
  cons(x1,x2)		w: (25907 + x1)
  id()		w: (26286)
  circ(x1,x2)		w: (1 + x2 + x1)
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 0, DPs: 0