0.00/0.09 YES 0.00/0.10 Input TRS: 0.00/0.10 1: a(a(b(x1))) -> b(b(a(a(x1)))) 0.00/0.10 2: b(a(x1)) -> a(c(b(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(x1)) -> #a(c(b(x1))) 0.00/0.10 #2: #b(a(x1)) -> #b(x1) 0.00/0.10 #3: #a(a(b(x1))) -> #b(b(a(a(x1)))) 0.00/0.10 #4: #a(a(b(x1))) -> #b(a(a(x1))) 0.00/0.10 #5: #a(a(b(x1))) -> #a(a(x1)) 0.00/0.10 #6: #a(a(b(x1))) -> #a(x1) 0.00/0.10 Number of SCCs: 2, DPs: 3 0.00/0.10 SCC { #2 } 0.00/0.10 POLO(Sum)... succeeded. 0.00/0.10 a w: x1 + 1 0.00/0.10 b w: 0 0.00/0.10 c w: 0 0.00/0.10 #a w: 0 0.00/0.10 #b w: x1 0.00/0.10 USABLE RULES: { } 0.00/0.10 Removed DPs: #2 0.00/0.10 Number of SCCs: 1, DPs: 2 0.00/0.10 SCC { #5 #6 } 0.00/0.10 POLO(Sum)... succeeded. 0.00/0.10 a w: x1 + 1 0.00/0.10 b w: x1 0.00/0.10 c w: 0 0.00/0.10 #a w: x1 0.00/0.10 #b w: 0 0.00/0.10 USABLE RULES: { 1 2 } 0.00/0.10 Removed DPs: #6 0.00/0.10 Number of SCCs: 1, DPs: 1 0.00/0.10 SCC { #5 } 0.00/0.10 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.10 a w: [0,1;1,1] * x1 + [1;1] 0.00/0.10 b w: x1 + [1;2] 0.00/0.10 c w: [1,0;0,0] * x1 + [0;1] 0.00/0.10 #a w: [1,1;1,1] * x1 0.00/0.10 #b w: [0;0] 0.00/0.10 USABLE RULES: { 1 2 } 0.00/0.10 Removed DPs: #5 0.00/0.10 Number of SCCs: 0, DPs: 0 0.00/0.10 EOF