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. h(x1,x2) weight: 0; 0 s(x1) weight: (/ 1 16) + x1_2; (/ 1 16) + x1_1 c(x1,x2) weight: (/ 3 16) + x2_1 + x1_2; (/ 1 16) + x2_2 + x1_1 0() weight: (/ 1 16); (/ 5 16) #h(x1,x2) weight: x2_1 + x1_2; 0 Usable rules: { } Removed DPs: #1 #2 Number of SCCs: 0, DPs: 0, edges: 0 YES