0.00/0.10 YES 0.00/0.10 Input TRS: 0.00/0.10 1: b(c(b(x1))) -> b(a(c(x1))) 0.00/0.10 2: b(a(c(x1))) -> b(c(a(x1))) 0.00/0.10 3: a(c(c(x1))) ->= c(c(b(x1))) 0.00/0.10 4: a(c(a(x1))) ->= a(b(b(x1))) 0.00/0.10 5: b(b(b(x1))) ->= c(c(a(x1))) 0.00/0.10 Number of strict rules: 2 0.00/0.10 Direct POLO(bPol) ... failed. 0.00/0.10 Uncurrying ... failed. 0.00/0.10 Dependency Pairs: 0.00/0.10 #1: #b(a(c(x1))) -> #b(c(a(x1))) 0.00/0.10 #2: #b(a(c(x1))) -> #a(x1) 0.00/0.10 #3: #b(b(b(x1))) ->? #a(x1) 0.00/0.10 #4: #a(c(c(x1))) ->? #b(x1) 0.00/0.10 #5: #b(c(b(x1))) -> #b(a(c(x1))) 0.00/0.10 #6: #b(c(b(x1))) -> #a(c(x1)) 0.00/0.10 #7: #a(c(a(x1))) ->? #a(b(b(x1))) 0.00/0.10 #8: #a(c(a(x1))) ->? #b(b(x1)) 0.00/0.10 #9: #a(c(a(x1))) ->? #b(x1) 0.00/0.10 Number of SCCs: 1, DPs: 8 0.00/0.10 SCC { #2..9 } 0.00/0.10 POLO(Sum)... succeeded. 0.00/0.10 a w: x1 + 1 0.00/0.10 b w: x1 + 1 0.00/0.10 c w: x1 + 1 0.00/0.10 #a w: x1 0.00/0.10 #b w: x1 0.00/0.10 USABLE RULES: { 1..5 } 0.00/0.10 Removed DPs: #2..4 #6 #8 #9 0.00/0.10 Number of SCCs: 2, DPs: 2 0.00/0.10 SCC { #7 } 0.00/0.10 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. 0.00/0.10 a w: 6 0.00/0.10 b w: 2 0.00/0.10 c w: max(x1 - 3, 0) 0.00/0.10 #a w: max(x1 - 1, 0) 0.00/0.10 #b w: max(x1 - 1, 0) 0.00/0.10 USABLE RULES: { 1..5 } 0.00/0.11 Removed DPs: #7 0.00/0.11 Number of SCCs: 1, DPs: 1 0.00/0.11 SCC { #5 } 0.00/0.11 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. 0.00/0.11 a w: 1 0.00/0.11 b w: 6 0.00/0.11 c w: max(x1 - 3, 0) 0.00/0.11 #a w: max(x1 - 1, 0) 0.00/0.11 #b w: max(x1 - 2, 0) 0.00/0.11 USABLE RULES: { 1..5 } 0.00/0.11 Removed DPs: #5 0.00/0.11 Number of SCCs: 0, DPs: 0 0.00/0.11 EOF