YES Input TRS: 1: b(c(x1)) -> a(x1) 2: b(b(x1)) -> a(c(x1)) 3: a(x1) -> c(b(x1)) 4: c(c(c(x1))) -> b(x1) Number of strict rules: 4 Direct POLO(bPol) ... removes: 4 2 a w: x1 + 7 b w: x1 + 5 c w: x1 + 2 Number of strict rules: 2 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a(x1) -> #b(x1) #2: #b(c(x1)) -> #a(x1) Number of SCCs: 1, DPs: 2 SCC { #1 #2 } POLO(Sum)... succeeded. a w: 0 b w: 0 c w: x1 + 2 #a w: x1 + 1 #b w: x1 USABLE RULES: { } Removed DPs: #1 #2 Number of SCCs: 0, DPs: 0