0.00/0.23 YES 0.00/0.23 Input TRS: 0.00/0.23 1: b(a(a(b(x1)))) -> b(a(b(a(x1)))) 0.00/0.23 2: a(a(a(a(x1)))) -> a(b(b(a(x1)))) 0.00/0.23 3: b(b(a(b(x1)))) -> a(a(b(a(x1)))) 0.00/0.23 Number of strict rules: 3 0.00/0.23 Direct POLO(bPol) ... failed. 0.00/0.23 Uncurrying ... failed. 0.00/0.23 Dependency Pairs: 0.00/0.23 #1: #a(a(a(a(x1)))) -> #a(b(b(a(x1)))) 0.00/0.23 #2: #a(a(a(a(x1)))) -> #b(b(a(x1))) 0.00/0.23 #3: #a(a(a(a(x1)))) -> #b(a(x1)) 0.00/0.23 #4: #b(b(a(b(x1)))) -> #a(a(b(a(x1)))) 0.00/0.23 #5: #b(b(a(b(x1)))) -> #a(b(a(x1))) 0.00/0.23 #6: #b(b(a(b(x1)))) -> #b(a(x1)) 0.00/0.23 #7: #b(b(a(b(x1)))) -> #a(x1) 0.00/0.23 #8: #b(a(a(b(x1)))) -> #b(a(b(a(x1)))) 0.00/0.23 #9: #b(a(a(b(x1)))) -> #a(b(a(x1))) 0.00/0.23 #10: #b(a(a(b(x1)))) -> #b(a(x1)) 0.00/0.23 #11: #b(a(a(b(x1)))) -> #a(x1) 0.00/0.23 Number of SCCs: 1, DPs: 11 0.00/0.23 SCC { #1..11 } 0.00/0.23 POLO(Sum)... succeeded. 0.00/0.23 a w: x1 + 2 0.00/0.23 b w: x1 + 2 0.00/0.23 #a w: x1 0.00/0.23 #b w: x1 + 1 0.00/0.23 USABLE RULES: { 1..3 } 0.00/0.23 Removed DPs: #2..7 #9..11 0.00/0.23 Number of SCCs: 2, DPs: 2 0.00/0.23 SCC { #8 } 0.00/0.23 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.23 a w: [1,0;0,0] * x1 + [2;1] 0.00/0.23 b w: [0,1;0,0] * x1 + [1;5] 0.00/0.23 #a w: [0;0] 0.00/0.23 #b w: [1,0;1,1] * x1 0.00/0.23 USABLE RULES: { 1..3 } 0.00/0.23 Removed DPs: #8 0.00/0.23 Number of SCCs: 1, DPs: 1 0.00/0.23 SCC { #1 } 0.00/0.23 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.23 a w: [1,0;0,0] * x1 + [3;1] 0.00/0.23 b w: [0,1;0,0] * x1 + [1;7] 0.00/0.23 #a w: [1,0;0,0] * x1 0.00/0.23 #b w: [1,0;1,1] * x1 0.00/0.23 USABLE RULES: { 1..3 } 0.00/0.23 Removed DPs: #1 0.00/0.23 Number of SCCs: 0, DPs: 0 0.00/0.23 EOF