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