MAYBE Input TRS: 1: b(d(b(x1))) -> c(d(b(x1))) 2: b(a(c(x1))) -> b(c(x1)) 3: a(d(x1)) -> d(c(x1)) 4: b(b(b(x1))) -> a(b(c(x1))) 5: d(c(x1)) -> b(d(x1)) 6: d(c(x1)) -> d(b(d(x1))) 7: d(a(c(x1))) -> b(b(x1)) Number of strict rules: 7 Direct POLO(bPol) ... removes: 2 a w: x1 + 26286 d w: x1 b w: x1 + 26286 c w: x1 + 26286 Number of strict rules: 6 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #d(c(x1)) -> #d(b(d(x1))) #2: #d(c(x1)) -> #b(d(x1)) #3: #d(c(x1)) -> #d(x1) #4: #d(a(c(x1))) -> #b(b(x1)) #5: #d(a(c(x1))) -> #b(x1) #6: #d(c(x1)) -> #b(d(x1)) #7: #d(c(x1)) -> #d(x1) #8: #a(d(x1)) -> #d(c(x1)) #9: #b(b(b(x1))) -> #a(b(c(x1))) #10: #b(b(b(x1))) -> #b(c(x1)) Number of SCCs: 1, DPs: 3 SCC { #1 #3 #7 } POLO(Sum)... succeeded. a w: x1 + 1 d w: x1 b w: x1 + 1 c w: x1 + 1 #d w: x1 #a w: 0 #b w: 0 USABLE RULES: { 1 3..7 } Removed DPs: #3 #7 Number of SCCs: 1, DPs: 1 SCC { #1 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. Finding a loop... failed.