3.55/2.90 YES 3.55/2.91 Input TRS: 3.55/2.91 1: a(a(s(s(x1)))) -> s(s(a(a(x1)))) 3.55/2.91 2: b(b(a(a(b(b(s(s(x1)))))))) -> a(a(b(b(s(s(a(a(x1)))))))) 3.55/2.91 3: b(b(a(a(b(b(b(b(x1)))))))) -> a(a(b(b(a(a(b(b(x1)))))))) 3.55/2.91 4: a(a(b(b(a(a(a(a(x1)))))))) -> b(b(a(a(b(b(a(a(x1)))))))) 3.55/2.91 Number of strict rules: 4 3.55/2.91 Direct POLO(bPol) ... removes: 1 2 3.55/2.91 a w: 2 * x1 + 1 3.55/2.91 s w: x1 + 1 3.55/2.91 b w: 2 * x1 + 1 3.55/2.91 Number of strict rules: 2 3.55/2.91 Direct POLO(bPol) ... failed. 3.55/2.91 Uncurrying ... failed. 3.55/2.91 Dependency Pairs: 3.55/2.91 #1: #b(b(a(a(b(b(b(b(x1)))))))) -> #a(a(b(b(a(a(b(b(x1)))))))) 3.55/2.91 #2: #b(b(a(a(b(b(b(b(x1)))))))) -> #a(b(b(a(a(b(b(x1))))))) 3.55/2.91 #3: #b(b(a(a(b(b(b(b(x1)))))))) -> #b(b(a(a(b(b(x1)))))) 3.55/2.91 #4: #b(b(a(a(b(b(b(b(x1)))))))) -> #b(a(a(b(b(x1))))) 3.55/2.91 #5: #b(b(a(a(b(b(b(b(x1)))))))) -> #a(a(b(b(x1)))) 3.55/2.91 #6: #b(b(a(a(b(b(b(b(x1)))))))) -> #a(b(b(x1))) 3.55/2.91 #7: #a(a(b(b(a(a(a(a(x1)))))))) -> #b(b(a(a(b(b(a(a(x1)))))))) 3.55/2.91 #8: #a(a(b(b(a(a(a(a(x1)))))))) -> #b(a(a(b(b(a(a(x1))))))) 3.55/2.91 #9: #a(a(b(b(a(a(a(a(x1)))))))) -> #a(a(b(b(a(a(x1)))))) 3.55/2.91 #10: #a(a(b(b(a(a(a(a(x1)))))))) -> #a(b(b(a(a(x1))))) 3.55/2.91 #11: #a(a(b(b(a(a(a(a(x1)))))))) -> #b(b(a(a(x1)))) 3.55/2.91 #12: #a(a(b(b(a(a(a(a(x1)))))))) -> #b(a(a(x1))) 3.55/2.91 Number of SCCs: 1, DPs: 12 3.55/2.91 SCC { #1..12 } 3.55/2.91 POLO(Sum)... succeeded. 3.55/2.91 a w: x1 + 1 3.55/2.91 s w: 0 3.55/2.91 b w: x1 + 1 3.55/2.91 #a w: x1 + 2 3.55/2.91 #b w: x1 + 2 3.55/2.91 USABLE RULES: { 3 4 } 3.55/2.91 Removed DPs: #2..6 #8..12 3.55/2.91 Number of SCCs: 1, DPs: 2 3.55/2.91 SCC { #1 #7 } 3.55/2.91 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 3.55/2.91 a w: [0,1;0,1] * x1 + [1;2] 3.55/2.91 s w: [0;0] 3.55/2.91 b w: [1,0;1,0] * x1 + [2;1] 3.55/2.91 #a w: [0,1;1,0] * x1 3.55/2.91 #b w: [1,0;1,0] * x1 3.55/2.91 USABLE RULES: { 3 4 } 3.55/2.91 Removed DPs: #1 #7 3.55/2.91 Number of SCCs: 0, DPs: 0 3.55/2.91 EOF