0.00/0.20 YES 0.00/0.21 Input TRS: 0.00/0.21 1: a(b(b(a(x1)))) -> b(a(a(b(x1)))) 0.00/0.21 2: a(b(b(b(x1)))) -> a(a(a(b(x1)))) 0.00/0.21 3: b(b(a(a(x1)))) -> b(b(b(a(x1)))) 0.00/0.21 Number of strict rules: 3 0.00/0.21 Direct POLO(bPol) ... failed. 0.00/0.21 Uncurrying ... failed. 0.00/0.21 Dependency Pairs: 0.00/0.21 #1: #a(b(b(b(x1)))) -> #a(a(a(b(x1)))) 0.00/0.21 #2: #a(b(b(b(x1)))) -> #a(a(b(x1))) 0.00/0.21 #3: #a(b(b(b(x1)))) -> #a(b(x1)) 0.00/0.21 #4: #b(b(a(a(x1)))) -> #b(b(b(a(x1)))) 0.00/0.21 #5: #b(b(a(a(x1)))) -> #b(b(a(x1))) 0.00/0.21 #6: #b(b(a(a(x1)))) -> #b(a(x1)) 0.00/0.21 #7: #a(b(b(a(x1)))) -> #b(a(a(b(x1)))) 0.00/0.21 #8: #a(b(b(a(x1)))) -> #a(a(b(x1))) 0.00/0.21 #9: #a(b(b(a(x1)))) -> #a(b(x1)) 0.00/0.21 #10: #a(b(b(a(x1)))) -> #b(x1) 0.00/0.21 Number of SCCs: 2, DPs: 8 0.00/0.21 SCC { #4..6 } 0.00/0.21 POLO(Sum)... succeeded. 0.00/0.21 a w: x1 + 1 0.00/0.21 b w: x1 + 1 0.00/0.21 #a w: 0 0.00/0.21 #b w: x1 0.00/0.21 USABLE RULES: { 1..3 } 0.00/0.21 Removed DPs: #5 #6 0.00/0.21 Number of SCCs: 2, DPs: 6 0.00/0.21 SCC { #4 } 0.00/0.21 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. 0.00/0.21 a w: 7 0.00/0.21 b w: max(x1 - 2, 0) 0.00/0.21 #a w: max(x1 - 1, 0) 0.00/0.21 #b w: max(x1 + 1, 0) 0.00/0.21 USABLE RULES: { 1..3 } 0.00/0.21 Removed DPs: #4 0.00/0.21 Number of SCCs: 1, DPs: 5 0.00/0.21 SCC { #1..3 #8 #9 } 0.00/0.21 POLO(Sum)... succeeded. 0.00/0.21 a w: x1 + 1 0.00/0.21 b w: x1 + 1 0.00/0.21 #a w: x1 0.00/0.21 #b w: 0 0.00/0.21 USABLE RULES: { 1..3 } 0.00/0.21 Removed DPs: #2 #3 #8 #9 0.00/0.21 Number of SCCs: 1, DPs: 1 0.00/0.21 SCC { #1 } 0.00/0.21 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.21 a w: [0,0;1,0] * x1 + [1;0] 0.00/0.21 b w: [0,1;0,0] * x1 + [0;2] 0.00/0.21 #a w: [1,0;0,0] * x1 0.00/0.21 #b w: [0;0] 0.00/0.21 USABLE RULES: { 1..3 } 0.00/0.21 Removed DPs: #1 0.00/0.21 Number of SCCs: 0, DPs: 0 0.00/0.21 EOF