0.00/0.38 YES 0.00/0.38 Input TRS: 0.00/0.38 1: c(c(a(x1))) -> b(a(c(x1))) 0.00/0.38 2: b(b(b(x1))) -> a(a(a(x1))) 0.00/0.38 3: c(a(b(x1))) ->= a(a(a(x1))) 0.00/0.38 4: c(a(b(x1))) ->= a(c(a(x1))) 0.00/0.38 5: c(b(c(x1))) ->= c(b(b(x1))) 0.00/0.38 6: b(a(b(x1))) ->= b(b(c(x1))) 0.00/0.38 Number of strict rules: 2 0.00/0.38 Direct POLO(bPol) ... failed. 0.00/0.38 Uncurrying ... failed. 0.00/0.38 Dependency Pairs: 0.00/0.38 #1: #b(a(b(x1))) ->? #b(b(c(x1))) 0.00/0.38 #2: #b(a(b(x1))) ->? #b(c(x1)) 0.00/0.38 #3: #b(a(b(x1))) ->? #c(x1) 0.00/0.38 #4: #c(b(c(x1))) ->? #c(b(b(x1))) 0.00/0.38 #5: #c(b(c(x1))) ->? #b(b(x1)) 0.00/0.38 #6: #c(b(c(x1))) ->? #b(x1) 0.00/0.38 #7: #c(c(a(x1))) -> #b(a(c(x1))) 0.00/0.38 #8: #c(c(a(x1))) -> #c(x1) 0.00/0.38 #9: #c(a(b(x1))) ->? #c(a(x1)) 0.00/0.38 Number of SCCs: 2, DPs: 9 0.00/0.38 SCC { #9 } 0.00/0.38 POLO(Sum)... succeeded. 0.00/0.38 a w: x1 + 1 0.00/0.38 b w: x1 + 1 0.00/0.38 c w: 0 0.00/0.38 #c w: x1 0.00/0.38 #b w: 0 0.00/0.38 USABLE RULES: { } 0.00/0.38 Removed DPs: #9 0.00/0.38 Number of SCCs: 1, DPs: 8 0.00/0.38 SCC { #1..8 } 0.00/0.38 POLO(Sum)... succeeded. 0.00/0.38 a w: x1 + 1 0.00/0.38 b w: x1 + 1 0.00/0.38 c w: x1 + 1 0.00/0.38 #c w: x1 + 1 0.00/0.38 #b w: x1 0.00/0.38 USABLE RULES: { 1..6 } 0.00/0.38 Removed DPs: #2 #3 #5..8 0.00/0.38 Number of SCCs: 2, DPs: 2 0.00/0.38 SCC { #4 } 0.00/0.38 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.38 a w: [0,0;1,0] * x1 0.00/0.38 b w: [0,1;0,0] * x1 0.00/0.38 c w: [0,0;1,0] * x1 + [1;1] 0.00/0.38 #c w: [1,0;0,0] * x1 0.00/0.38 #b w: [0;0] 0.00/0.38 USABLE RULES: { 1..6 } 0.00/0.38 Removed DPs: #4 0.00/0.38 Number of SCCs: 1, DPs: 1 0.00/0.38 SCC { #1 } 0.00/0.38 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.38 a w: [0,0;1,0] * x1 + [2;1] 0.00/0.38 b w: [3;3] 0.00/0.38 c w: [1;1] 0.00/0.38 #c w: [0;0] 0.00/0.38 #b w: [0,1;0,0] * x1 0.00/0.38 USABLE RULES: { 2 6 } 0.00/0.38 Removed DPs: #1 0.00/0.38 Number of SCCs: 0, DPs: 0 0.00/0.38 EOF