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