Input TRS: 1: c(b(a(X))) -> a(a(b(b(c(c(X)))))) 2: a(X) -> e() 3: b(X) -> e() 4: c(X) -> e() Number of strict rules: 4 Direct Order(PosReal,>,Poly) ... failed. Freezing ... failed. Dependency Pairs: #1: #c(b(a(X))) -> #a(a(b(b(c(c(X)))))) #2: #c(b(a(X))) -> #a(b(b(c(c(X))))) #3: #c(b(a(X))) -> #b(b(c(c(X)))) #4: #c(b(a(X))) -> #b(c(c(X))) #5: #c(b(a(X))) -> #c(c(X)) #6: #c(b(a(X))) -> #c(X) Number of SCCs: 1, DPs: 1, edges: 1 SCC { #6 } Removing DPs: Order(PosReal,>,Sum)... succeeded. a(x1) weight: (/ 1 2) + x1 b(x1) weight: x1 c(x1) weight: 0 #c(x1) weight: x1 e() weight: 0 #a(x1) weight: 0 #b(x1) weight: 0 Usable rules: { } Removed DPs: #6 Number of SCCs: 0, DPs: 0, edges: 0 YES