/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: from(X) -> cons(X,n__from(s(X)))
    2: sel(0(),cons(X,XS)) -> X
    3: sel(s(N),cons(X,XS)) -> sel(N,activate(XS))
    4: minus(X,0()) -> 0()
    5: minus(s(X),s(Y)) -> minus(X,Y)
    6: quot(0(),s(Y)) -> 0()
    7: quot(s(X),s(Y)) -> s(quot(minus(X,Y),s(Y)))
    8: zWquot(XS,nil()) -> nil()
    9: zWquot(nil(),XS) -> nil()
    10: zWquot(cons(X,XS),cons(Y,YS)) -> cons(quot(X,Y),n__zWquot(activate(XS),activate(YS)))
    11: from(X) -> n__from(X)
    12: zWquot(X1,X2) -> n__zWquot(X1,X2)
    13: activate(n__from(X)) -> from(X)
    14: activate(n__zWquot(X1,X2)) -> zWquot(X1,X2)
    15: activate(X) -> X
Number of strict rules: 15
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #activate(n__from(X)) -> #from(X)
   #2: #activate(n__zWquot(X1,X2)) -> #zWquot(X1,X2)
   #3: #quot(s(X),s(Y)) -> #quot(minus(X,Y),s(Y))
   #4: #quot(s(X),s(Y)) -> #minus(X,Y)
   #5: #zWquot(cons(X,XS),cons(Y,YS)) -> #quot(X,Y)
   #6: #zWquot(cons(X,XS),cons(Y,YS)) -> #activate(XS)
   #7: #zWquot(cons(X,XS),cons(Y,YS)) -> #activate(YS)
   #8: #minus(s(X),s(Y)) -> #minus(X,Y)
   #9: #sel(s(N),cons(X,XS)) -> #sel(N,activate(XS))
   #10: #sel(s(N),cons(X,XS)) -> #activate(XS)
Number of SCCs: 3, DPs: 5
	SCC { #8 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  #zWquot(x1,x2)		w: (0)
  minus(x1,x2)		w: (0)
  activate(x1)		w: (0)
  n__from(x1)		w: (0)
  #activate(x1)		w: (0)
  zWquot(x1,x2)		w: (0)
  n__zWquot(x1,x2)		w: (0)
  0()		w: (0)
  quot(x1,x2)		w: (0)
  #sel(x1,x2)		w: (0)
  from(x1)		w: (0)
  sel(x1,x2)		w: (0)
  nil()		w: (0)
  #minus(x1,x2)		w: (x2)
  #from(x1)		w: (0)
  cons(x1,x2)		w: (0)
  #quot(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #8
Number of SCCs: 2, DPs: 4
	SCC { #9 }
Sum... succeeded.
  s(x1)		w: (3 + x1)
  #zWquot(x1,x2)		w: (0)
  minus(x1,x2)		w: (1 + x1)
  activate(x1)		w: (1 + x1)
  n__from(x1)		w: (1)
  #activate(x1)		w: (0)
  zWquot(x1,x2)		w: (8367 + x2)
  n__zWquot(x1,x2)		w: (8366 + x2)
  0()		w: (2)
  quot(x1,x2)		w: (1 + x2 + x1)
  #sel(x1,x2)		w: (x2 + x1)
  from(x1)		w: (2)
  sel(x1,x2)		w: (0)
  nil()		w: (1)
  #minus(x1,x2)		w: (0)
  #from(x1)		w: (0)
  cons(x1,x2)		w: (1 + x2)
  #quot(x1,x2)		w: (0)
    USABLE RULES: { 1 8..15 }
    Removed DPs: #9
Number of SCCs: 1, DPs: 3
	SCC { #2 #6 #7 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  #zWquot(x1,x2)		w: (1159 + x2 + x1)
  minus(x1,x2)		w: (1 + x1)
  activate(x1)		w: (3604 + x1)
  n__from(x1)		w: (32856)
  #activate(x1)		w: (8366 + x1)
  zWquot(x1,x2)		w: (3605 + x2 + x1)
  n__zWquot(x1,x2)		w: (1 + x2 + x1)
  0()		w: (2)
  quot(x1,x2)		w: (1 + x2 + x1)
  #sel(x1,x2)		w: (x2)
  from(x1)		w: (36460)
  sel(x1,x2)		w: (0)
  nil()		w: (0)
  #minus(x1,x2)		w: (0)
  #from(x1)		w: (0)
  cons(x1,x2)		w: (3604 + x2)
  #quot(x1,x2)		w: (0)
    USABLE RULES: { 1 8..15 }
    Removed DPs: #2 #6 #7
Number of SCCs: 0, DPs: 0