0.00/0.07 YES 0.00/0.07 Input TRS: 0.00/0.07 1: a(b(c(a(x1)))) -> b(a(c(b(a(b(x1)))))) 0.00/0.07 2: a(d(x1)) -> c(x1) 0.00/0.07 3: a(f(f(x1))) -> g(x1) 0.00/0.07 4: b(g(x1)) -> g(b(x1)) 0.00/0.07 5: c(x1) -> f(f(x1)) 0.00/0.07 6: c(a(c(x1))) -> b(c(a(b(c(x1))))) 0.00/0.07 7: c(d(x1)) -> a(a(x1)) 0.00/0.07 8: g(x1) -> c(a(x1)) 0.00/0.07 9: g(x1) -> d(d(d(d(x1)))) 0.00/0.07 Number of strict rules: 9 0.00/0.07 Direct POLO(bPol) ... removes: 7 9 2 0.00/0.07 a w: x1 + 13 0.00/0.07 d w: x1 + 8 0.00/0.07 b w: x1 0.00/0.07 c w: x1 + 20 0.00/0.07 f w: x1 + 10 0.00/0.07 g w: x1 + 33 0.00/0.07 Number of strict rules: 6 0.00/0.07 Direct POLO(bPol) ... removes: 8 3 5 0.00/0.07 a w: 2 * x1 + 7 0.00/0.07 d w: x1 + 6 0.00/0.07 b w: x1 0.00/0.07 c w: x1 + 15 0.00/0.07 f w: x1 + 7 0.00/0.07 g w: 2 * x1 + 24 0.00/0.07 Number of strict rules: 3 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(c(x1))) -> #b(c(a(b(c(x1))))) 0.00/0.07 #2: #c(a(c(x1))) -> #c(a(b(c(x1)))) 0.00/0.07 #3: #c(a(c(x1))) -> #a(b(c(x1))) 0.00/0.07 #4: #c(a(c(x1))) -> #b(c(x1)) 0.00/0.07 #5: #a(b(c(a(x1)))) -> #b(a(c(b(a(b(x1)))))) 0.00/0.07 #6: #a(b(c(a(x1)))) -> #a(c(b(a(b(x1))))) 0.00/0.07 #7: #a(b(c(a(x1)))) -> #c(b(a(b(x1)))) 0.00/0.07 #8: #a(b(c(a(x1)))) -> #b(a(b(x1))) 0.00/0.07 #9: #a(b(c(a(x1)))) -> #a(b(x1)) 0.00/0.07 #10: #a(b(c(a(x1)))) -> #b(x1) 0.00/0.07 #11: #b(g(x1)) -> #b(x1) 0.00/0.07 Number of SCCs: 2, DPs: 2 0.00/0.07 SCC { #11 } 0.00/0.07 POLO(Sum)... succeeded. 0.00/0.07 a w: 0 0.00/0.07 d w: 0 0.00/0.07 b w: 0 0.00/0.07 c w: 0 0.00/0.07 f w: 0 0.00/0.07 #c w: 0 0.00/0.07 #a w: 0 0.00/0.07 g w: x1 + 1 0.00/0.07 #b w: x1 0.00/0.07 USABLE RULES: { } 0.00/0.07 Removed DPs: #11 0.00/0.07 Number of SCCs: 1, DPs: 1 0.00/0.07 SCC { #9 } 0.00/0.07 POLO(Sum)... succeeded. 0.00/0.07 a w: x1 + 1 0.00/0.07 d w: 0 0.00/0.07 b w: x1 + 1 0.00/0.07 c w: x1 0.00/0.07 f w: 0 0.00/0.07 #c w: 0 0.00/0.07 #a w: x1 0.00/0.07 g w: 1 0.00/0.07 #b w: 0 0.00/0.07 USABLE RULES: { 4 } 0.00/0.07 Removed DPs: #9 0.00/0.07 Number of SCCs: 0, DPs: 0 0.00/0.07 EOF