Input TRS: 1: f(x,c(y)) -> f(x,s(f(y,y))) 2: f(s(x),s(y)) -> f(x,s(c(s(y)))) Number of strict rules: 2 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #f(s(x),s(y)) -> #f(x,s(c(s(y)))) #2: #f(x,c(y)) -> #f(x,s(f(y,y))) #3: #f(x,c(y)) -> #f(y,y) Number of SCCs: 2, DPs: 2, edges: 2 SCC { #3 } Removing DPs: Order(PosReal,>,Sum)... succeeded. s(x1) weight: 0 c(x1) weight: (/ 1 2) + x1 f(x1,x2) weight: 0 #f(x1,x2) weight: x2 Usable rules: { } Removed DPs: #3 Number of SCCs: 1, DPs: 1, edges: 1 SCC { #1 } Removing DPs: Order(PosReal,>,Sum)... succeeded. s(x1) weight: (/ 1 4) + x1 c(x1) weight: (/ 1 4) f(x1,x2) weight: 0 #f(x1,x2) weight: x1 Usable rules: { } Removed DPs: #1 Number of SCCs: 0, DPs: 0, edges: 0 YES