YES Input TRS: 1: b(c(a(x1))) -> a(b(a(b(x1)))) 2: b(x1) -> c(c(x1)) 3: a(a(x1)) -> a(c(b(a(x1)))) Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a(a(x1)) -> #a(c(b(a(x1)))) #2: #a(a(x1)) -> #b(a(x1)) #3: #b(c(a(x1))) -> #a(b(a(b(x1)))) #4: #b(c(a(x1))) -> #b(a(b(x1))) #5: #b(c(a(x1))) -> #a(b(x1)) #6: #b(c(a(x1))) -> #b(x1) Number of SCCs: 1, DPs: 1 SCC { #6 } POLO(Sum)... succeeded. a w: x1 + 1 b w: 0 c w: x1 #a w: 0 #b w: x1 USABLE RULES: { } Removed DPs: #6 Number of SCCs: 0, DPs: 0