0.00/0.47 YES 0.00/0.47 Input TRS: 0.00/0.47 1: a(s(x1)) -> s(a(x1)) 0.00/0.47 2: b(a(b(s(x1)))) -> a(b(s(a(x1)))) 0.00/0.47 3: b(a(b(b(x1)))) -> a(b(a(b(x1)))) 0.00/0.47 4: a(b(a(a(x1)))) -> b(a(b(a(x1)))) 0.00/0.47 Number of strict rules: 4 0.00/0.47 Direct POLO(bPol) ... removes: 1 2 0.00/0.47 a w: 2 * x1 + 1 0.00/0.47 s w: 2 * x1 + 2 0.00/0.47 b w: 2 * x1 + 1 0.00/0.47 Number of strict rules: 2 0.00/0.47 Direct POLO(bPol) ... failed. 0.00/0.47 Uncurrying ... failed. 0.00/0.47 Dependency Pairs: 0.00/0.47 #1: #b(a(b(b(x1)))) -> #a(b(a(b(x1)))) 0.00/0.47 #2: #b(a(b(b(x1)))) -> #b(a(b(x1))) 0.00/0.47 #3: #b(a(b(b(x1)))) -> #a(b(x1)) 0.00/0.47 #4: #a(b(a(a(x1)))) -> #b(a(b(a(x1)))) 0.00/0.47 #5: #a(b(a(a(x1)))) -> #a(b(a(x1))) 0.00/0.47 #6: #a(b(a(a(x1)))) -> #b(a(x1)) 0.00/0.47 Number of SCCs: 1, DPs: 6 0.00/0.47 SCC { #1..6 } 0.00/0.47 POLO(Sum)... succeeded. 0.00/0.47 a w: x1 + 1 0.00/0.47 s w: 0 0.00/0.47 b w: x1 + 1 0.00/0.47 #a w: x1 0.00/0.47 #b w: x1 0.00/0.47 USABLE RULES: { 3 4 } 0.00/0.47 Removed DPs: #2 #3 #5 #6 0.00/0.47 Number of SCCs: 1, DPs: 2 0.00/0.47 SCC { #1 #4 } 0.00/0.47 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.47 a w: [1,0;1,0] * x1 + [2;1] 0.00/0.47 s w: [0;0] 0.00/0.47 b w: [0,1;0,1] * x1 + [1;2] 0.00/0.48 #a w: [1,0;1,0] * x1 + [6;0] 0.00/0.48 #b w: [0,1;0,1] * x1 + [6;0] 0.00/0.48 USABLE RULES: { 3 4 } 0.00/0.48 Removed DPs: #1 #4 0.00/0.48 Number of SCCs: 0, DPs: 0 0.00/0.48 EOF