0.00/0.13 YES 0.00/0.14 Input TRS: 0.00/0.14 1: a(a(b(x1))) -> b(a(x1)) 0.00/0.14 2: b(a(a(x1))) -> a(a(a(b(x1)))) 0.00/0.14 3: a(c(x1)) -> c(b(x1)) 0.00/0.14 Number of strict rules: 3 0.00/0.14 Direct POLO(bPol) ... failed. 0.00/0.14 Uncurrying ... failed. 0.00/0.14 Dependency Pairs: 0.00/0.14 #1: #b(a(a(x1))) -> #a(a(a(b(x1)))) 0.00/0.14 #2: #b(a(a(x1))) -> #a(a(b(x1))) 0.00/0.14 #3: #b(a(a(x1))) -> #a(b(x1)) 0.00/0.14 #4: #b(a(a(x1))) -> #b(x1) 0.00/0.14 #5: #a(c(x1)) -> #b(x1) 0.00/0.14 #6: #a(a(b(x1))) -> #b(a(x1)) 0.00/0.14 #7: #a(a(b(x1))) -> #a(x1) 0.00/0.14 Number of SCCs: 1, DPs: 7 0.00/0.14 SCC { #1..7 } 0.00/0.14 POLO(Sum)... succeeded. 0.00/0.14 a w: x1 0.00/0.14 b w: x1 0.00/0.14 c w: x1 + 1 0.00/0.14 #a w: x1 0.00/0.14 #b w: x1 0.00/0.14 USABLE RULES: { 1..3 } 0.00/0.14 Removed DPs: #5 0.00/0.14 Number of SCCs: 1, DPs: 6 0.00/0.14 SCC { #1..4 #6 #7 } 0.00/0.14 POLO(Sum)... succeeded. 0.00/0.14 a w: x1 0.00/0.14 b w: x1 + 1 0.00/0.14 c w: 1 0.00/0.14 #a w: x1 0.00/0.14 #b w: x1 + 1 0.00/0.14 USABLE RULES: { 1..3 } 0.00/0.14 Removed DPs: #7 0.00/0.14 Number of SCCs: 1, DPs: 5 0.00/0.14 SCC { #1..4 #6 } 0.00/0.14 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.14 a w: x1 + [3;2] 0.00/0.14 b w: [1,1;1,0] * x1 + [1;1] 0.00/0.14 c w: [1;1] 0.00/0.14 #a w: [1,0;0,0] * x1 + [2;0] 0.00/0.14 #b w: [1,1;0,0] * x1 0.00/0.14 USABLE RULES: { 1..3 } 0.00/0.14 Removed DPs: #1..4 #6 0.00/0.14 Number of SCCs: 0, DPs: 0 0.00/0.14 EOF