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