Input TRS:
    1: minus(x,|0|()) -> x
    2: minus(x,s(y)) -> pred(minus(x,y))
    3: quot(|0|(),s(y)) -> |0|()
    4: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y)))
    5: pred(s(x)) ->= x
    6: pred(s(x)) ->= s(pred(x))
    7: s(pred(x)) ->= pred(s(x))
    8: log(s(|0|())) ->= |0|()
    9: log(s(s(x))) ->= s(log(s(quot(x,s(s(|0|()))))))
Number of strict rules: 4
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #minus(x,s(y)) -> #minus(x,y)
   #2: #log(s(s(x))) ->? #log(s(quot(x,s(s(|0|())))))
   #3: #log(s(s(x))) ->? #quot(x,s(s(|0|())))
   #4: #quot(s(x),s(y)) -> #quot(minus(x,y),s(y))
   #5: #quot(s(x),s(y)) -> #minus(x,y)
Number of SCCs: 3, DPs: 3, edges: 3
	SCC { #1 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
     s(x1)	weight: (/ 1 2) + x1
 minus(x1,x2)	weight: 0
 #log(x1)	weight: 0
  pred(x1)	weight: 0
   log(x1)	weight: 0
  quot(x1,x2)	weight: 0
#minus(x1,x2)	weight: x2
#quot(x1,x2)	weight: 0
    Usable rules: { }
    Removed DPs: #1
Number of SCCs: 2, DPs: 2, edges: 2
	SCC { #4 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
     s(x1)	weight: (/ 1 2) + x1
 minus(x1,x2)	weight: (/ 1 4) + x1
 #log(x1)	weight: 0
  pred(x1)	weight: x1
   log(x1)	weight: 0
  quot(x1,x2)	weight: 0
#minus(x1,x2)	weight: 0
#quot(x1,x2)	weight: x1
    Usable rules: { 1 2 5..7 }
    Removed DPs: #4
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #2 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
     s(x1)	weight: (/ 1 4) + x1
 minus(x1,x2)	weight: x1
 #log(x1)	weight: x1
  pred(x1)	weight: x1
   log(x1)	weight: 0
  quot(x1,x2)	weight: (/ 1 8) + x1
#minus(x1,x2)	weight: 0
#quot(x1,x2)	weight: 0
    Usable rules: { 1..7 }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0, edges: 0
YES