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