Input TRS:
    1: h(c(x,y),c(s(z),z),t(w)) -> h(z,c(y,x),t(t(c(x,c(y,t(w))))))
    2: h(x,c(y,z),t(w)) -> h(c(s(y),x),z,t(c(t(w),w)))
    3: h(c(s(x),c(s(0()),y)),z,t(x)) -> h(y,c(s(0()),c(x,z)),t(t(c(x,s(x)))))
    4: t(t(x)) -> t(c(t(x),x))
    5: t(x) -> x
    6: t(x) -> c(0(),c(0(),c(0(),c(0(),c(0(),x)))))
Number of strict rules: 6
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #h(x,c(y,z),t(w)) -> #h(c(s(y),x),z,t(c(t(w),w)))
   #2: #h(x,c(y,z),t(w)) -> #t(c(t(w),w))
   #3: #h(c(s(x),c(s(0()),y)),z,t(x)) -> #h(y,c(s(0()),c(x,z)),t(t(c(x,s(x)))))
   #4: #h(c(s(x),c(s(0()),y)),z,t(x)) -> #t(t(c(x,s(x))))
   #5: #h(c(s(x),c(s(0()),y)),z,t(x)) -> #t(c(x,s(x)))
   #6: #h(c(x,y),c(s(z),z),t(w)) -> #h(z,c(y,x),t(t(c(x,c(y,t(w))))))
   #7: #h(c(x,y),c(s(z),z),t(w)) -> #t(t(c(x,c(y,t(w)))))
   #8: #h(c(x,y),c(s(z),z),t(w)) -> #t(c(x,c(y,t(w))))
   #9: #t(t(x)) -> #t(c(t(x),x))
Number of SCCs: 1, DPs: 3, edges: 9
	SCC { #1 #3 #6 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     h(x1,x2,x3)	weight: 0
     s(x1)	weight: x1
     t(x1)	weight: (/ 1 8)
     c(x1,x2)	weight: (/ 1 8) + x1 + x2
     0()	weight: 0
   #h(x1,x2,x3)	weight: x1 + x2
   #t(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #6
Number of SCCs: 1, DPs: 2, edges: 4
	SCC { #1 #3 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... Order(PosReal,>,Sum-Sum; PosReal,≥,Sum-Sum)... succeeded.
     h(x1,x2,x3)	weight: 0; 0
     s(x1)	weight: (/ 1 32); (/ 1 32) + x1_1
     t(x1)	weight: 0; (/ 1 32)
     c(x1,x2)	weight: (/ 1 32) + x2_1 + x1_2; (/ 3 32) + x2_2 + x1_1
     0()	weight: (/ 1 8); (/ 1 32)
   #h(x1,x2,x3)	weight: x2_2 + x1_1; 0
   #t(x1)	weight: 0; 0
    Usable rules: { }
    Removed DPs: #1 #3
Number of SCCs: 0, DPs: 0, edges: 0
YES