MAYBE Input TRS: 1: a(x1) -> x1 2: a(b(x1)) -> c(b(a(a(x1)))) 3: b(x1) -> c(x1) 4: c(c(x1)) -> b(x1) Number of strict rules: 4 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a(b(x1)) -> #c(b(a(a(x1)))) #2: #a(b(x1)) -> #b(a(a(x1))) #3: #a(b(x1)) -> #a(a(x1)) #4: #a(b(x1)) -> #a(x1) #5: #b(x1) -> #c(x1) #6: #c(c(x1)) -> #b(x1) Number of SCCs: 2, DPs: 4 SCC { #5 #6 } POLO(Sum)... succeeded. a w: 0 b w: 0 c w: x1 + 2 #c w: x1 #a w: 0 #b w: x1 + 1 USABLE RULES: { } Removed DPs: #5 #6 Number of SCCs: 1, DPs: 2 SCC { #3 #4 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.