YES Input TRS: 1: c(c(x1)) -> a(a(a(b(b(b(x1)))))) 2: b(b(b(a(x1)))) -> b(b(b(b(b(b(b(b(x1)))))))) 3: b(b(c(c(x1)))) -> c(c(c(a(a(a(a(x1))))))) Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #b(b(b(a(x1)))) -> #b(b(b(b(b(b(b(b(x1)))))))) #2: #b(b(b(a(x1)))) -> #b(b(b(b(b(b(b(x1))))))) #3: #b(b(b(a(x1)))) -> #b(b(b(b(b(b(x1)))))) #4: #b(b(b(a(x1)))) -> #b(b(b(b(b(x1))))) #5: #b(b(b(a(x1)))) -> #b(b(b(b(x1)))) #6: #b(b(b(a(x1)))) -> #b(b(b(x1))) #7: #b(b(b(a(x1)))) -> #b(b(x1)) #8: #b(b(b(a(x1)))) -> #b(x1) #9: #b(b(c(c(x1)))) -> #c(c(c(a(a(a(a(x1))))))) #10: #b(b(c(c(x1)))) -> #c(c(a(a(a(a(x1)))))) #11: #b(b(c(c(x1)))) -> #c(a(a(a(a(x1))))) #12: #c(c(x1)) -> #b(b(b(x1))) #13: #c(c(x1)) -> #b(b(x1)) #14: #c(c(x1)) -> #b(x1) Number of SCCs: 1, DPs: 13 SCC { #1..10 #12..14 } POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. a w: [0,0;0,1] * x1 + [1002;2961] b w: [0,1;0,1] * x1 + [23508;592] c w: [0,1;1,0] * x1 + [12256;182] #c w: [1,0;0,0] * x1 #b w: [0,1;0,0] * x1 + [11071;0] USABLE RULES: { 1..3 } Removed DPs: #1..10 #12..14 Number of SCCs: 0, DPs: 0