0.00/0.07 YES 0.00/0.07 Input TRS: 0.00/0.07 1: b(a(a(x1))) -> a(b(c(x1))) 0.00/0.07 2: c(a(x1)) -> a(c(x1)) 0.00/0.07 3: b(c(a(x1))) -> a(b(c(x1))) 0.00/0.07 4: c(b(x1)) -> d(x1) 0.00/0.07 5: d(x1) -> b(a(x1)) 0.00/0.07 6: a(d(x1)) -> d(a(x1)) 0.00/0.07 7: a(a(x1)) -> a(b(a(x1))) 0.00/0.07 Number of strict rules: 7 0.00/0.07 Direct POLO(bPol) ... failed. 0.00/0.07 Uncurrying ... failed. 0.00/0.07 Dependency Pairs: 0.00/0.07 #1: #c(a(x1)) -> #a(c(x1)) 0.00/0.07 #2: #c(a(x1)) -> #c(x1) 0.00/0.07 #3: #a(d(x1)) -> #d(a(x1)) 0.00/0.07 #4: #a(d(x1)) -> #a(x1) 0.00/0.07 #5: #a(a(x1)) -> #a(b(a(x1))) 0.00/0.07 #6: #a(a(x1)) -> #b(a(x1)) 0.00/0.07 #7: #d(x1) -> #b(a(x1)) 0.00/0.07 #8: #d(x1) -> #a(x1) 0.00/0.07 #9: #b(c(a(x1))) -> #a(b(c(x1))) 0.00/0.07 #10: #b(c(a(x1))) -> #b(c(x1)) 0.00/0.07 #11: #b(c(a(x1))) -> #c(x1) 0.00/0.07 #12: #b(a(a(x1))) -> #a(b(c(x1))) 0.00/0.07 #13: #b(a(a(x1))) -> #b(c(x1)) 0.00/0.07 #14: #b(a(a(x1))) -> #c(x1) 0.00/0.07 #15: #c(b(x1)) -> #d(x1) 0.00/0.07 Number of SCCs: 1, DPs: 15 0.00/0.07 SCC { #1..15 } 0.00/0.07 POLO(Sum)... succeeded. 0.00/0.07 a w: x1 + 2 0.00/0.07 d w: x1 + 2 0.00/0.07 b w: x1 0.00/0.07 c w: x1 + 2 0.00/0.07 #d w: x1 + 2 0.00/0.07 #c w: x1 + 3 0.00/0.07 #a w: x1 + 2 0.00/0.07 #b w: x1 0.00/0.07 USABLE RULES: { 1..7 } 0.00/0.07 Removed DPs: #1 #2 #4 #6 #10 #11 #13..15 0.00/0.07 Number of SCCs: 1, DPs: 5 0.00/0.07 SCC { #3 #5 #7 #8 #12 } 0.00/0.07 POLO(Sum)... POLO(max)... succeeded. 0.00/0.07 a w: x1 0.00/0.07 d w: x1 + 3 0.00/0.07 b w: 0 0.00/0.07 c w: 3 0.00/0.07 #d w: x1 + 4 0.00/0.07 #c w: 0 0.00/0.07 #a w: x1 + 2 0.00/0.07 #b w: 3 0.00/0.07 USABLE RULES: { 1 3 5..7 } 0.00/0.07 Removed DPs: #3 #7 #8 #12 0.00/0.07 Number of SCCs: 1, DPs: 1 0.00/0.07 SCC { #5 } 0.00/0.07 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. 0.00/0.07 a w: max(x1 + 3, 0) 0.00/0.07 d w: max(x1 + 1, 0) 0.00/0.07 b w: max(x1 - 2, 0) 0.00/0.07 c w: max(x1 + 3, 0) 0.00/0.07 #d w: max(x1 - 1, 0) 0.00/0.07 #c w: 0 0.00/0.07 #a w: max(x1 + 1, 0) 0.00/0.07 #b w: max(x1 - 1, 0) 0.00/0.07 USABLE RULES: { 1..7 } 0.00/0.07 Removed DPs: #5 0.00/0.07 Number of SCCs: 0, DPs: 0 0.00/0.07 EOF