0.00/0.19 MAYBE 0.00/0.20 Input TRS: 0.00/0.20 1: a(b(x1)) -> d(x1) 0.00/0.20 2: b(a(x1)) -> a(b(x1)) 0.00/0.20 3: d(c(x1)) -> f(a(b(b(c(x1))))) 0.00/0.20 4: d(f(x1)) -> f(a(b(x1))) 0.00/0.20 5: a(f(x1)) -> a(x1) 0.00/0.20 Number of strict rules: 5 0.00/0.20 Direct POLO(bPol) ... failed. 0.00/0.20 Uncurrying ... failed. 0.00/0.20 Dependency Pairs: 0.00/0.20 #1: #b(a(x1)) -> #a(b(x1)) 0.00/0.20 #2: #b(a(x1)) -> #b(x1) 0.00/0.20 #3: #a(f(x1)) -> #a(x1) 0.00/0.20 #4: #d(c(x1)) -> #a(b(b(c(x1)))) 0.00/0.20 #5: #d(c(x1)) -> #b(b(c(x1))) 0.00/0.20 #6: #d(c(x1)) -> #b(c(x1)) 0.00/0.20 #7: #a(b(x1)) -> #d(x1) 0.00/0.20 #8: #d(f(x1)) -> #a(b(x1)) 0.00/0.20 #9: #d(f(x1)) -> #b(x1) 0.00/0.20 Number of SCCs: 1, DPs: 7 0.00/0.20 SCC { #1..4 #7..9 } 0.00/0.20 POLO(Sum)... succeeded. 0.00/0.20 a w: x1 + 2 0.00/0.20 d w: x1 + 2 0.00/0.20 b w: x1 0.00/0.20 c w: 1 0.00/0.20 f w: x1 0.00/0.20 #d w: x1 + 1 0.00/0.20 #a w: x1 + 1 0.00/0.20 #b w: x1 0.00/0.20 USABLE RULES: { 1..5 } 0.00/0.20 Removed DPs: #1 #2 #9 0.00/0.20 Number of SCCs: 1, DPs: 4 0.00/0.20 SCC { #3 #4 #7 #8 } 0.00/0.20 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. 0.00/0.20 a w: 0 0.00/0.20 d w: 0 0.00/0.20 b w: max(x1 - 1, 0) 0.00/0.20 c w: max(x1 + 3, 0) 0.00/0.20 f w: max(x1, 0) 0.00/0.20 #d w: max(x1 - 1, 0) 0.00/0.20 #a w: max(x1, 0) 0.00/0.20 #b w: 0 0.00/0.20 USABLE RULES: { 1..5 } 0.00/0.20 Removed DPs: #4 0.00/0.20 Number of SCCs: 1, DPs: 3 0.00/0.20 SCC { #3 #7 #8 } 0.00/0.20 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. 0.00/0.20 Finding a loop... failed. 0.00/0.20 EOF