0.00/0.25 YES 0.00/0.25 Input TRS: 0.00/0.25 1: a(b(b(x1))) -> c(b(a(x1))) 0.00/0.25 2: a(a(c(x1))) -> b(c(a(x1))) 0.00/0.25 3: a(a(b(x1))) -> a(c(b(x1))) 0.00/0.25 4: b(a(a(x1))) ->= c(a(a(x1))) 0.00/0.25 5: c(b(b(x1))) ->= b(a(a(x1))) 0.00/0.25 6: c(b(a(x1))) ->= b(c(c(x1))) 0.00/0.25 Number of strict rules: 3 0.00/0.25 Direct POLO(bPol) ... failed. 0.00/0.25 Uncurrying ... failed. 0.00/0.25 Dependency Pairs: 0.00/0.25 #1: #a(a(c(x1))) -> #b(c(a(x1))) 0.00/0.25 #2: #a(a(c(x1))) -> #c(a(x1)) 0.00/0.25 #3: #a(a(c(x1))) -> #a(x1) 0.00/0.25 #4: #c(b(a(x1))) ->? #b(c(c(x1))) 0.00/0.25 #5: #c(b(a(x1))) ->? #c(c(x1)) 0.00/0.25 #6: #c(b(a(x1))) ->? #c(x1) 0.00/0.25 #7: #c(b(b(x1))) ->? #b(a(a(x1))) 0.00/0.25 #8: #c(b(b(x1))) ->? #a(a(x1)) 0.00/0.25 #9: #c(b(b(x1))) ->? #a(x1) 0.00/0.25 #10: #a(a(b(x1))) -> #a(c(b(x1))) 0.00/0.25 #11: #a(a(b(x1))) -> #c(b(x1)) 0.00/0.25 #12: #a(b(b(x1))) -> #c(b(a(x1))) 0.00/0.25 #13: #a(b(b(x1))) -> #b(a(x1)) 0.00/0.25 #14: #a(b(b(x1))) -> #a(x1) 0.00/0.25 #15: #b(a(a(x1))) ->? #c(a(a(x1))) 0.00/0.25 Number of SCCs: 1, DPs: 13 0.00/0.25 SCC { #2 #3 #5..15 } 0.00/0.25 POLO(Sum)... succeeded. 0.00/0.25 a w: x1 + 2 0.00/0.25 b w: x1 + 2 0.00/0.25 c w: x1 + 2 0.00/0.25 #c w: x1 0.00/0.25 #a w: x1 + 1 0.00/0.25 #b w: x1 0.00/0.25 USABLE RULES: { 1..6 } 0.00/0.25 Removed DPs: #2 #3 #5 #6 #8 #9 #11..14 0.00/0.25 Number of SCCs: 1, DPs: 2 0.00/0.25 SCC { #7 #15 } 0.00/0.25 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.25 a w: [0,1;0,1] * x1 + [2;0] 0.00/0.25 b w: [0,1;1,0] * x1 + [2;0] 0.00/0.25 c w: [0,1;0,1] * x1 0.00/0.25 #c w: [0,1;0,0] * x1 + [2;0] 0.00/0.25 #a w: [0;0] 0.00/0.25 #b w: [1,0;0,0] * x1 + [1;0] 0.00/0.25 USABLE RULES: { 1..6 } 0.00/0.25 Removed DPs: #7 #15 0.00/0.25 Number of SCCs: 0, DPs: 0 0.00/0.25 EOF