1.77/1.56 YES 1.77/1.56 Input TRS: 1.77/1.56 1: c(c(x1)) -> a(a(a(b(b(b(x1)))))) 1.77/1.56 2: b(b(b(a(x1)))) -> b(b(b(b(b(b(b(b(x1)))))))) 1.77/1.56 3: b(b(c(c(x1)))) -> c(c(c(a(a(a(a(x1))))))) 1.77/1.56 Number of strict rules: 3 1.77/1.56 Direct POLO(bPol) ... failed. 1.77/1.56 Uncurrying ... failed. 1.77/1.56 Dependency Pairs: 1.77/1.56 #1: #b(b(b(a(x1)))) -> #b(b(b(b(b(b(b(b(x1)))))))) 1.77/1.56 #2: #b(b(b(a(x1)))) -> #b(b(b(b(b(b(b(x1))))))) 1.77/1.56 #3: #b(b(b(a(x1)))) -> #b(b(b(b(b(b(x1)))))) 1.77/1.56 #4: #b(b(b(a(x1)))) -> #b(b(b(b(b(x1))))) 1.77/1.56 #5: #b(b(b(a(x1)))) -> #b(b(b(b(x1)))) 1.77/1.56 #6: #b(b(b(a(x1)))) -> #b(b(b(x1))) 1.77/1.56 #7: #b(b(b(a(x1)))) -> #b(b(x1)) 1.77/1.56 #8: #b(b(b(a(x1)))) -> #b(x1) 1.77/1.56 #9: #b(b(c(c(x1)))) -> #c(c(c(a(a(a(a(x1))))))) 1.77/1.56 #10: #b(b(c(c(x1)))) -> #c(c(a(a(a(a(x1)))))) 1.77/1.56 #11: #b(b(c(c(x1)))) -> #c(a(a(a(a(x1))))) 1.77/1.56 #12: #c(c(x1)) -> #b(b(b(x1))) 1.77/1.56 #13: #c(c(x1)) -> #b(b(x1)) 1.77/1.56 #14: #c(c(x1)) -> #b(x1) 1.77/1.56 Number of SCCs: 1, DPs: 13 1.77/1.56 SCC { #1..10 #12..14 } 1.77/1.56 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 1.77/1.56 a w: [1,0;0,0] * x1 + [6;1] 1.77/1.56 b w: [1,0;1,0] * x1 + [1;48] 1.77/1.56 c w: [0,1;1,0] * x1 + [1;25] 1.77/1.56 #c w: [0,1;0,0] * x1 + [2;0] 1.77/1.56 #b w: [1,0;0,0] * x1 + [25;0] 1.77/1.56 USABLE RULES: { 1..3 } 1.77/1.56 Removed DPs: #1..10 #13 #14 1.77/1.56 Number of SCCs: 0, DPs: 0 1.77/1.56 EOF