MAYBE Input TRS: 1: a(x1) -> x1 2: a(a(b(x1))) -> c(b(a(a(x1)))) 3: b(c(x1)) -> a(b(x1)) Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a(a(b(x1))) -> #b(a(a(x1))) #2: #a(a(b(x1))) -> #a(a(x1)) #3: #a(a(b(x1))) -> #a(x1) #4: #b(c(x1)) -> #a(b(x1)) #5: #b(c(x1)) -> #b(x1) Number of SCCs: 1, DPs: 5 SCC { #1..5 } POLO(Sum)... succeeded. a w: x1 b w: x1 + 20163 c w: x1 #a w: x1 #b w: x1 + 20163 USABLE RULES: { 1..3 } Removed DPs: #2 #3 Number of SCCs: 1, DPs: 3 SCC { #1 #4 #5 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.