0.00/0.05 YES 0.00/0.05 Input TRS: 0.00/0.05 1: b(a(a(x1))) -> a(b(c(x1))) 0.00/0.05 2: c(a(x1)) -> a(c(x1)) 0.00/0.05 3: c(b(x1)) -> b(a(x1)) 0.00/0.05 4: a(a(x1)) -> a(b(a(x1))) 0.00/0.05 Number of strict rules: 4 0.00/0.05 Direct POLO(bPol) ... failed. 0.00/0.05 Uncurrying ... failed. 0.00/0.05 Dependency Pairs: 0.00/0.05 #1: #c(a(x1)) -> #a(c(x1)) 0.00/0.05 #2: #c(a(x1)) -> #c(x1) 0.00/0.05 #3: #c(b(x1)) -> #b(a(x1)) 0.00/0.05 #4: #c(b(x1)) -> #a(x1) 0.00/0.05 #5: #b(a(a(x1))) -> #a(b(c(x1))) 0.00/0.05 #6: #b(a(a(x1))) -> #b(c(x1)) 0.00/0.05 #7: #b(a(a(x1))) -> #c(x1) 0.00/0.05 #8: #a(a(x1)) -> #a(b(a(x1))) 0.00/0.05 #9: #a(a(x1)) -> #b(a(x1)) 0.00/0.05 Number of SCCs: 1, DPs: 9 0.00/0.05 SCC { #1..9 } 0.00/0.05 POLO(Sum)... succeeded. 0.00/0.05 a w: x1 + 2 0.00/0.05 b w: x1 0.00/0.05 c w: x1 + 2 0.00/0.05 #c w: x1 + 3 0.00/0.05 #a w: x1 + 1 0.00/0.05 #b w: x1 0.00/0.05 USABLE RULES: { 1..4 } 0.00/0.05 Removed DPs: #1..7 #9 0.00/0.05 Number of SCCs: 1, DPs: 1 0.00/0.05 SCC { #8 } 0.00/0.05 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. 0.00/0.05 a w: max(x1 + 3, 0) 0.00/0.05 b w: max(x1 - 1, 0) 0.00/0.05 c w: max(x1 + 3, 0) 0.00/0.05 #c w: 0 0.00/0.05 #a w: max(x1 - 1, 0) 0.00/0.05 #b w: max(x1 - 1, 0) 0.00/0.05 USABLE RULES: { 1..4 } 0.00/0.05 Removed DPs: #8 0.00/0.05 Number of SCCs: 0, DPs: 0 0.00/0.05 EOF