MAYBE Input TRS: 1: a(b(x1)) -> x1 2: a(c(x1)) -> b(c(c(b(a(a(x1)))))) 3: b(c(x1)) -> x1 Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a(c(x1)) -> #b(c(c(b(a(a(x1)))))) #2: #a(c(x1)) -> #b(a(a(x1))) #3: #a(c(x1)) -> #a(a(x1)) #4: #a(c(x1)) -> #a(x1) Number of SCCs: 1, DPs: 2 SCC { #3 #4 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. a w: max(x1 + 8367, 0) b w: max(x1 - 8367, 0) c w: max(x1 + 8367, 0) #a w: max(x1 - 1, 0) #b w: 0 USABLE RULES: { 1..3 } Removed DPs: #4 Number of SCCs: 1, DPs: 1 SCC { #3 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.