MAYBE Input TRS: 1: a(a(x1)) -> b(a(c(x1))) 2: b(b(x1)) -> a(a(x1)) 3: c(b(x1)) -> a(x1) Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #b(b(x1)) -> #a(a(x1)) #2: #b(b(x1)) -> #a(x1) #3: #c(b(x1)) -> #a(x1) #4: #a(a(x1)) -> #b(a(c(x1))) #5: #a(a(x1)) -> #a(c(x1)) #6: #a(a(x1)) -> #c(x1) Number of SCCs: 1, DPs: 6 SCC { #1..6 } POLO(Sum)... succeeded. a w: x1 + 20654 b w: x1 + 20654 c w: x1 #c w: x1 #a w: x1 #b w: x1 USABLE RULES: { 1..3 } Removed DPs: #2 #3 #5 #6 Number of SCCs: 1, DPs: 2 SCC { #1 #4 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.