0.00/0.40 YES 0.00/0.41 Input TRS: 0.00/0.41 1: a(b(x1)) -> b(c(a(x1))) 0.00/0.41 2: b(c(x1)) -> c(b(b(x1))) 0.00/0.41 3: a(c(x1)) -> c(a(b(x1))) 0.00/0.41 4: a(a(x1)) -> a(d(d(d(x1)))) 0.00/0.41 5: d(a(x1)) -> d(d(c(x1))) 0.00/0.41 6: a(d(d(c(x1)))) -> a(a(a(d(x1)))) 0.00/0.41 7: e(e(f(f(x1)))) -> f(f(f(e(e(x1))))) 0.00/0.41 8: e(x1) -> a(x1) 0.00/0.41 9: b(d(x1)) -> d(d(x1)) 0.00/0.41 Number of strict rules: 9 0.00/0.41 Direct POLO(bPol) ... removes: 8 7 0.00/0.41 a w: x1 0.00/0.41 d w: x1 0.00/0.41 b w: x1 0.00/0.41 c w: x1 0.00/0.41 f w: x1 + 1 0.00/0.41 e w: 2 * x1 + 1 0.00/0.41 Number of strict rules: 7 0.00/0.41 Direct POLO(bPol) ... failed. 0.00/0.41 Uncurrying ... failed. 0.00/0.41 Dependency Pairs: 0.00/0.41 #1: #b(c(x1)) -> #b(b(x1)) 0.00/0.41 #2: #b(c(x1)) -> #b(x1) 0.00/0.41 #3: #a(d(d(c(x1)))) -> #a(a(a(d(x1)))) 0.00/0.41 #4: #a(d(d(c(x1)))) -> #a(a(d(x1))) 0.00/0.41 #5: #a(d(d(c(x1)))) -> #a(d(x1)) 0.00/0.41 #6: #a(d(d(c(x1)))) -> #d(x1) 0.00/0.41 #7: #b(d(x1)) -> #d(d(x1)) 0.00/0.41 #8: #d(a(x1)) -> #d(d(c(x1))) 0.00/0.41 #9: #d(a(x1)) -> #d(c(x1)) 0.00/0.41 #10: #a(c(x1)) -> #a(b(x1)) 0.00/0.41 #11: #a(c(x1)) -> #b(x1) 0.00/0.41 #12: #a(b(x1)) -> #b(c(a(x1))) 0.00/0.41 #13: #a(b(x1)) -> #a(x1) 0.00/0.41 #14: #a(a(x1)) -> #a(d(d(d(x1)))) 0.00/0.41 #15: #a(a(x1)) -> #d(d(d(x1))) 0.00/0.41 #16: #a(a(x1)) -> #d(d(x1)) 0.00/0.41 #17: #a(a(x1)) -> #d(x1) 0.00/0.41 Number of SCCs: 2, DPs: 7 0.00/0.41 SCC { #1 #2 } 0.00/0.41 POLO(Sum)... succeeded. 0.00/0.41 a w: 1 0.00/0.41 d w: 1 0.00/0.41 b w: x1 0.00/0.41 c w: x1 + 1 0.00/0.41 f w: 0 0.00/0.41 #d w: 0 0.00/0.41 e w: 0 0.00/0.41 #a w: 0 0.00/0.41 #b w: x1 0.00/0.41 USABLE RULES: { 2 9 } 0.00/0.41 Removed DPs: #1 #2 0.00/0.41 Number of SCCs: 1, DPs: 5 0.00/0.41 SCC { #3..5 #10 #13 } 0.00/0.41 POLO(Sum)... succeeded. 0.00/0.41 a w: 1 0.00/0.41 d w: 2 0.00/0.41 b w: x1 0.00/0.41 c w: x1 0.00/0.41 f w: 0 0.00/0.41 #d w: 0 0.00/0.41 e w: 0 0.00/0.41 #a w: x1 0.00/0.41 #b w: x1 0.00/0.41 USABLE RULES: { 1..6 9 } 0.00/0.41 Removed DPs: #3 #4 0.00/0.41 Number of SCCs: 2, DPs: 3 0.00/0.41 SCC { #5 } 0.00/0.41 POLO(Sum)... POLO(max)... succeeded. 0.00/0.41 a w: x1 + 2 0.00/0.41 d w: x1 + 1 0.00/0.41 b w: 0 0.00/0.41 c w: x1 + 1 0.00/0.41 f w: 0 0.00/0.41 #d w: 0 0.00/0.41 e w: 0 0.00/0.41 #a w: x1 0.00/0.41 #b w: 0 0.00/0.41 USABLE RULES: { 5 } 0.00/0.41 Removed DPs: #5 0.00/0.41 Number of SCCs: 1, DPs: 2 0.00/0.41 SCC { #10 #13 } 0.00/0.41 POLO(Sum)... POLO(max)... succeeded. 0.00/0.41 a w: x1 + 1 0.00/0.41 d w: x1 0.00/0.41 b w: x1 0.00/0.41 c w: x1 + 1 0.00/0.41 f w: 0 0.00/0.41 #d w: 0 0.00/0.41 e w: 0 0.00/0.41 #a w: x1 0.00/0.41 #b w: 0 0.00/0.41 USABLE RULES: { 2 5 9 } 0.00/0.41 Removed DPs: #10 0.00/0.41 Number of SCCs: 1, DPs: 1 0.00/0.41 SCC { #13 } 0.00/0.41 POLO(Sum)... succeeded. 0.00/0.41 a w: 2 0.00/0.41 d w: x1 + 1 0.00/0.41 b w: x1 + 1 0.00/0.41 c w: 1 0.00/0.41 f w: 0 0.00/0.41 #d w: 0 0.00/0.41 e w: 0 0.00/0.41 #a w: x1 0.00/0.41 #b w: x1 0.00/0.41 USABLE RULES: { 1..6 9 } 0.00/0.41 Removed DPs: #13 0.00/0.41 Number of SCCs: 0, DPs: 0 0.00/0.41 EOF