Input TRS:
    1: p(0()) -> 0()
    2: p(s(x)) -> x
    3: minus(x,0()) -> x
    4: minus(s(x),s(y)) -> minus(x,y)
    5: minus(x,s(y)) -> p(minus(x,y))
    6: div(0(),s(y)) -> 0()
    7: div(s(x),s(y)) -> s(div(minus(s(x),s(y)),s(y)))
    8: log(s(0()),s(s(y))) -> 0()
    9: log(s(s(x)),s(s(y))) -> s(log(div(minus(x,y),s(s(y))),s(s(y))))
Number of strict rules: 9
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #log(s(s(x)),s(s(y))) -> #log(div(minus(x,y),s(s(y))),s(s(y)))
   #2: #log(s(s(x)),s(s(y))) -> #div(minus(x,y),s(s(y)))
   #3: #log(s(s(x)),s(s(y))) -> #minus(x,y)
   #4: #div(s(x),s(y)) -> #div(minus(s(x),s(y)),s(y))
   #5: #div(s(x),s(y)) -> #minus(s(x),s(y))
   #6: #minus(x,s(y)) -> #p(minus(x,y))
   #7: #minus(x,s(y)) -> #minus(x,y)
   #8: #minus(s(x),s(y)) -> #minus(x,y)
Number of SCCs: 3, DPs: 4, edges: 6
	SCC { #4 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... Order(PosReal,>,Sum-Sum; PosReal,≥,Sum-Sum)... Order(PosReal,>,Sum-Sum; NegReal,≥,Sum)... succeeded.
 #div(x1,x2)	weight: max{0, (- (/ 1 8)) + x2_1 + x1_1}; 0
     s(x1)	weight: max{0, (/ 3 16) + x1_1}; (- (/ 3 16)) + x1_2
 minus(x1,x2)	weight: max{0, (/ 1 16) + x2_2 + x1_1}; 0
   div(x1,x2)	weight: 0; 0
 #log(x1,x2)	weight: 0; 0
   #p(x1)	weight: 0; 0
     p(x1)	weight: max{0, (- (/ 3 16)) + x1_1}; 0
   log(x1,x2)	weight: 0; 0
     0()	weight: 0; (- (/ 1 16))
#minus(x1,x2)	weight: 0; 0
    Usable rules: { 1..5 }
    Removed DPs: #4
Number of SCCs: 2, DPs: 3, edges: 5
	SCC { #7 #8 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
 #div(x1,x2)	weight: 0
     s(x1)	weight: (/ 1 2) + x1
 minus(x1,x2)	weight: (/ 1 2) + x2
   div(x1,x2)	weight: 0
 #log(x1,x2)	weight: 0
   #p(x1)	weight: 0
     p(x1)	weight: (/ 3 2)
   log(x1,x2)	weight: 0
     0()	weight: 0
#minus(x1,x2)	weight: x2
    Usable rules: { }
    Removed DPs: #7 #8
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #1 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... Order(PosReal,>,Sum-Sum; PosReal,≥,Sum-Sum)... Order(PosReal,>,Sum-Sum; NegReal,≥,Sum)... succeeded.
 #div(x1,x2)	weight: 0; 0
     s(x1)	weight: max{0, (/ 1 4) + x1_1}; (- (/ 1 4))
 minus(x1,x2)	weight: max{0, x2_2 + x1_1}; 0
   div(x1,x2)	weight: max{0, (/ 3 8) + x1_1}; 0
 #log(x1,x2)	weight: max{0, (/ 1 8) + x1_1}; 0
   #p(x1)	weight: 0; 0
     p(x1)	weight: max{0, (- (/ 1 4)) + x1_1}; 0
   log(x1,x2)	weight: 0; 0
     0()	weight: 0; 0
#minus(x1,x2)	weight: 0; 0
    Usable rules: { 1..7 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0, edges: 0
YES