Input TRS:
    1: D(t()) -> s(h())
    2: D(constant()) -> h()
    3: D(b(x,y)) -> b(D(x),D(y))
    4: D(c(x,y)) -> b(c(y,D(x)),c(x,D(y)))
    5: D(m(x,y)) -> m(D(x),D(y))
    6: D(opp(x)) -> opp(D(x))
    7: D(div(x,y)) -> m(div(D(x),y),div(c(x,D(y)),pow(y,2())))
    8: D(ln(x)) -> div(D(x),x)
    9: D(pow(x,y)) -> b(c(c(y,pow(x,m(y,1()))),D(x)),c(c(pow(x,y),ln(x)),D(y)))
    10: b(h(),x) -> x
    11: b(x,h()) -> x
    12: b(s(x),s(y)) -> s(s(b(x,y)))
    13: b(b(x,y),z) -> b(x,b(y,z))
Number of strict rules: 13
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #D(opp(x)) -> #D(x)
   #2: #b(b(x,y),z) -> #b(x,b(y,z))
   #3: #b(b(x,y),z) -> #b(y,z)
   #4: #D(pow(x,y)) -> #b(c(c(y,pow(x,m(y,1()))),D(x)),c(c(pow(x,y),ln(x)),D(y)))
   #5: #D(pow(x,y)) -> #D(x)
   #6: #D(pow(x,y)) -> #D(y)
   #7: #b(s(x),s(y)) -> #b(x,y)
   #8: #D(div(x,y)) -> #D(x)
   #9: #D(div(x,y)) -> #D(y)
   #10: #D(m(x,y)) -> #D(x)
   #11: #D(m(x,y)) -> #D(y)
   #12: #D(b(x,y)) -> #b(D(x),D(y))
   #13: #D(b(x,y)) -> #D(x)
   #14: #D(b(x,y)) -> #D(y)
   #15: #D(ln(x)) -> #D(x)
   #16: #D(c(x,y)) -> #b(c(y,D(x)),c(x,D(y)))
   #17: #D(c(x,y)) -> #D(x)
   #18: #D(c(x,y)) -> #D(y)
Number of SCCs: 2, DPs: 15, edges: 153
	SCC { #2 #3 #7 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h()	weight: 0
     1()	weight: 0
    ln(x1)	weight: 0
     s(x1)	weight: (/ 1 4) + x1
constant()	weight: 0
     b(x1,x2)	weight: (/ 1 4) + x1 + x2
   pow(x1,x2)	weight: 0
     t()	weight: 0
   div(x1,x2)	weight: 0
     c(x1,x2)	weight: 0
     D(x1)	weight: 0
   #D(x1)	weight: 0
   opp(x1)	weight: 0
     2()	weight: 0
   #b(x1,x2)	weight: x1 + x2
     m(x1,x2)	weight: 0
    Usable rules: { 10..13 }
    Removed DPs: #3 #7
Number of SCCs: 2, DPs: 13, edges: 145
	SCC { #2 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h()	weight: 0
     1()	weight: 0
    ln(x1)	weight: 0
     s(x1)	weight: (/ 1 4)
constant()	weight: 0
     b(x1,x2)	weight: (/ 1 4) + x1 + x2
   pow(x1,x2)	weight: 0
     t()	weight: 0
   div(x1,x2)	weight: 0
     c(x1,x2)	weight: 0
     D(x1)	weight: 0
   #D(x1)	weight: 0
   opp(x1)	weight: 0
     2()	weight: 0
   #b(x1,x2)	weight: x1
     m(x1,x2)	weight: 0
    Usable rules: { 10 }
    Removed DPs: #2
Number of SCCs: 1, DPs: 12, edges: 144
	SCC { #1 #5 #6 #8..11 #13..15 #17 #18 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h()	weight: 0
     1()	weight: 0
    ln(x1)	weight: (/ 1 4) + x1
     s(x1)	weight: (/ 1 4)
constant()	weight: 0
     b(x1,x2)	weight: (/ 1 4) + x1 + x2
   pow(x1,x2)	weight: (/ 1 4) + x1 + x2
     t()	weight: 0
   div(x1,x2)	weight: (/ 1 4) + x1 + x2
     c(x1,x2)	weight: (/ 1 4) + x1 + x2
     D(x1)	weight: 0
   #D(x1)	weight: x1
   opp(x1)	weight: (/ 1 4) + x1
     2()	weight: 0
   #b(x1,x2)	weight: 0
     m(x1,x2)	weight: (/ 1 4) + x1 + x2
    Usable rules: { }
    Removed DPs: #1 #5 #6 #8..11 #13..15 #17 #18
Number of SCCs: 1, DPs: 0, edges: 0
YES