0.62/0.77 YES 0.62/0.78 Input TRS: 0.62/0.78 1: c(b(a(a(x1)))) -> a(a(b(c(x1)))) 0.62/0.78 2: b(a(a(a(x1)))) -> a(a(a(b(x1)))) 0.62/0.78 3: a(b(c(x1))) -> c(b(a(x1))) 0.62/0.78 4: c(c(b(b(x1)))) -> b(b(c(c(x1)))) 0.62/0.78 Number of strict rules: 4 0.62/0.78 Direct POLO(bPol) ... failed. 0.62/0.78 Uncurrying ... failed. 0.62/0.78 Dependency Pairs: 0.62/0.78 #1: #b(a(a(a(x1)))) -> #a(a(a(b(x1)))) 0.62/0.78 #2: #b(a(a(a(x1)))) -> #a(a(b(x1))) 0.62/0.78 #3: #b(a(a(a(x1)))) -> #a(b(x1)) 0.62/0.78 #4: #b(a(a(a(x1)))) -> #b(x1) 0.62/0.78 #5: #a(b(c(x1))) -> #c(b(a(x1))) 0.62/0.78 #6: #a(b(c(x1))) -> #b(a(x1)) 0.62/0.78 #7: #a(b(c(x1))) -> #a(x1) 0.62/0.78 #8: #c(b(a(a(x1)))) -> #a(a(b(c(x1)))) 0.62/0.78 #9: #c(b(a(a(x1)))) -> #a(b(c(x1))) 0.62/0.78 #10: #c(b(a(a(x1)))) -> #b(c(x1)) 0.62/0.78 #11: #c(b(a(a(x1)))) -> #c(x1) 0.62/0.78 #12: #c(c(b(b(x1)))) -> #b(b(c(c(x1)))) 0.62/0.78 #13: #c(c(b(b(x1)))) -> #b(c(c(x1))) 0.62/0.78 #14: #c(c(b(b(x1)))) -> #c(c(x1)) 0.62/0.78 #15: #c(c(b(b(x1)))) -> #c(x1) 0.62/0.78 Number of SCCs: 1, DPs: 15 0.62/0.78 SCC { #1..15 } 0.62/0.78 POLO(Sum)... succeeded. 0.62/0.78 a w: x1 + 1 0.62/0.78 b w: x1 + 1 0.62/0.78 c w: x1 + 1 0.62/0.78 #c w: x1 0.62/0.78 #a w: x1 0.62/0.78 #b w: x1 0.62/0.78 USABLE RULES: { 1..4 } 0.62/0.78 Removed DPs: #2..4 #6 #7 #9..11 #13..15 0.62/0.78 Number of SCCs: 1, DPs: 4 0.62/0.78 SCC { #1 #5 #8 #12 } 0.62/0.78 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.62/0.78 a w: [0;0] 0.62/0.78 b w: [0,1;0,0] * x1 + [0;3] 0.62/0.78 c w: [1,0;1,0] * x1 0.62/0.78 #c w: [0,1;0,0] * x1 + [0;11] 0.62/0.78 #a w: [0,1;0,1] * x1 + [1;8] 0.62/0.78 #b w: [2;8] 0.62/0.78 USABLE RULES: { 1..4 } 0.62/0.78 Removed DPs: #1 #5 #8 #12 0.62/0.78 Number of SCCs: 0, DPs: 0 0.62/0.78 EOF