YES Input TRS: 1: a(a(x1)) -> a(b(b(b(x1)))) 2: b(a(x1)) -> b(b(c(x1))) 3: a(b(b(c(x1)))) -> a(a(a(b(x1)))) Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #b(a(x1)) -> #b(b(c(x1))) #2: #b(a(x1)) -> #b(c(x1)) #3: #a(b(b(c(x1)))) -> #a(a(a(b(x1)))) #4: #a(b(b(c(x1)))) -> #a(a(b(x1))) #5: #a(b(b(c(x1)))) -> #a(b(x1)) #6: #a(b(b(c(x1)))) -> #b(x1) #7: #a(a(x1)) -> #a(b(b(b(x1)))) #8: #a(a(x1)) -> #b(b(b(x1))) #9: #a(a(x1)) -> #b(b(x1)) #10: #a(a(x1)) -> #b(x1) Number of SCCs: 1, DPs: 1 SCC { #5 } POLO(Sum)... succeeded. a w: x1 + 23677 b w: x1 + 1 c w: x1 + 23676 #a w: x1 #b w: 0 USABLE RULES: { 2 } Removed DPs: #5 Number of SCCs: 0, DPs: 0