0.00/0.04 YES 0.00/0.04 Input TRS: 0.00/0.04 1: a(a(x1)) -> b(b(b(x1))) 0.00/0.04 2: a(x1) -> c(d(x1)) 0.00/0.04 3: b(b(x1)) -> c(c(c(x1))) 0.00/0.04 4: c(c(x1)) -> d(d(d(x1))) 0.00/0.04 5: e(d(x1)) -> a(b(c(d(e(x1))))) 0.00/0.04 6: b(x1) -> d(d(x1)) 0.00/0.04 7: e(c(x1)) -> b(a(a(e(x1)))) 0.00/0.04 8: c(d(d(x1))) -> a(x1) 0.00/0.04 Number of strict rules: 8 0.00/0.04 Direct POLO(bPol) ... failed. 0.00/0.04 Uncurrying ... failed. 0.00/0.04 Dependency Pairs: 0.00/0.04 #1: #a(x1) -> #c(d(x1)) 0.00/0.04 #2: #e(c(x1)) -> #b(a(a(e(x1)))) 0.00/0.04 #3: #e(c(x1)) -> #a(a(e(x1))) 0.00/0.04 #4: #e(c(x1)) -> #a(e(x1)) 0.00/0.04 #5: #e(c(x1)) -> #e(x1) 0.00/0.04 #6: #e(d(x1)) -> #a(b(c(d(e(x1))))) 0.00/0.04 #7: #e(d(x1)) -> #b(c(d(e(x1)))) 0.00/0.04 #8: #e(d(x1)) -> #c(d(e(x1))) 0.00/0.04 #9: #e(d(x1)) -> #e(x1) 0.00/0.04 #10: #b(b(x1)) -> #c(c(c(x1))) 0.00/0.04 #11: #b(b(x1)) -> #c(c(x1)) 0.00/0.04 #12: #b(b(x1)) -> #c(x1) 0.00/0.04 #13: #a(a(x1)) -> #b(b(b(x1))) 0.00/0.04 #14: #a(a(x1)) -> #b(b(x1)) 0.00/0.04 #15: #a(a(x1)) -> #b(x1) 0.00/0.04 #16: #c(d(d(x1))) -> #a(x1) 0.00/0.04 Number of SCCs: 2, DPs: 10 0.00/0.04 SCC { #5 #9 } 0.00/0.04 POLO(Sum)... succeeded. 0.00/0.04 a w: 0 0.00/0.04 d w: x1 + 1 0.00/0.04 b w: 0 0.00/0.04 #e w: x1 0.00/0.04 c w: x1 + 1 0.00/0.04 #c w: 0 0.00/0.04 e w: 0 0.00/0.04 #a w: 0 0.00/0.04 #b w: 0 0.00/0.04 USABLE RULES: { } 0.00/0.04 Removed DPs: #5 #9 0.00/0.04 Number of SCCs: 1, DPs: 8 0.00/0.04 SCC { #1 #10..16 } 0.00/0.04 POLO(Sum)... succeeded. 0.00/0.04 a w: x1 + 42 0.00/0.04 d w: x1 + 12 0.00/0.04 b w: x1 + 27 0.00/0.04 #e w: 0 0.00/0.04 c w: x1 + 18 0.00/0.04 #c w: x1 0.00/0.04 e w: 0 0.00/0.04 #a w: x1 + 23 0.00/0.04 #b w: x1 + 10 0.00/0.04 USABLE RULES: { 1..4 6 8 } 0.00/0.04 Removed DPs: #1 #10..16 0.00/0.04 Number of SCCs: 0, DPs: 0 0.00/0.04 EOF