MAYBE Input TRS: 1: c(c(c(a(x1)))) -> d(d(x1)) 2: d(b(x1)) -> c(c(x1)) 3: b(c(x1)) -> b(a(c(x1))) 4: c(x1) -> a(a(x1)) 5: d(x1) -> b(c(x1)) Number of strict rules: 5 Direct POLO(bPol) ... removes: 4 a w: x1 d w: x1 + 17562 b w: x1 + 5854 c w: x1 + 11708 Number of strict rules: 4 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #d(b(x1)) -> #c(c(x1)) #2: #d(b(x1)) -> #c(x1) #3: #d(x1) -> #b(c(x1)) #4: #d(x1) -> #c(x1) #5: #b(c(x1)) -> #b(a(c(x1))) #6: #c(c(c(a(x1)))) -> #d(d(x1)) #7: #c(c(c(a(x1)))) -> #d(x1) Number of SCCs: 1, DPs: 5 SCC { #1 #2 #4 #6 #7 } POLO(Sum)... succeeded. a w: x1 d w: x1 + 31353 b w: x1 + 10451 c w: x1 + 20902 #d w: x1 + 10451 #c w: x1 #b w: 0 USABLE RULES: { 1..3 5 } Removed DPs: #2 #4 #7 Number of SCCs: 1, DPs: 2 SCC { #1 #6 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.