0.00/0.27 YES 0.10/0.27 Input TRS: 0.10/0.27 1: c(c(a(x1))) -> b(b(c(x1))) 0.10/0.27 2: a(b(c(x1))) -> a(b(a(x1))) 0.10/0.27 3: c(c(c(x1))) ->= b(c(a(x1))) 0.10/0.27 4: a(b(b(x1))) ->= a(c(a(x1))) 0.10/0.27 5: c(c(a(x1))) ->= b(b(b(x1))) 0.10/0.27 6: c(b(a(x1))) ->= c(c(b(x1))) 0.10/0.27 Number of strict rules: 2 0.10/0.27 Direct POLO(bPol) ... failed. 0.10/0.27 Uncurrying ... failed. 0.10/0.27 Dependency Pairs: 0.10/0.27 #1: #a(b(c(x1))) -> #a(b(a(x1))) 0.10/0.27 #2: #a(b(c(x1))) -> #a(x1) 0.10/0.27 #3: #c(b(a(x1))) ->? #c(c(b(x1))) 0.10/0.27 #4: #c(b(a(x1))) ->? #c(b(x1)) 0.10/0.27 #5: #c(c(c(x1))) ->? #c(a(x1)) 0.10/0.27 #6: #c(c(c(x1))) ->? #a(x1) 0.10/0.27 #7: #c(c(a(x1))) -> #c(x1) 0.10/0.27 #8: #a(b(b(x1))) ->? #a(c(a(x1))) 0.10/0.27 #9: #a(b(b(x1))) ->? #c(a(x1)) 0.10/0.27 #10: #a(b(b(x1))) ->? #a(x1) 0.10/0.27 Number of SCCs: 2, DPs: 5 0.10/0.27 SCC { #2 #10 } 0.10/0.27 POLO(Sum)... succeeded. 0.10/0.27 a w: 0 0.10/0.27 b w: x1 + 1 0.10/0.27 c w: x1 + 1 0.10/0.27 #c w: 0 0.10/0.27 #a w: x1 0.10/0.27 USABLE RULES: { } 0.10/0.27 Removed DPs: #2 #10 0.10/0.27 Number of SCCs: 1, DPs: 3 0.10/0.27 SCC { #3 #4 #7 } 0.10/0.27 POLO(Sum)... succeeded. 0.10/0.27 a w: x1 + 1 0.10/0.27 b w: 0 0.10/0.27 c w: x1 0.10/0.27 #c w: x1 0.10/0.27 #a w: 0 0.10/0.27 USABLE RULES: { 1 3 5 6 } 0.10/0.27 Removed DPs: #7 0.10/0.27 Number of SCCs: 1, DPs: 2 0.10/0.27 SCC { #3 #4 } 0.10/0.27 POLO(Sum)... succeeded. 0.10/0.27 a w: x1 + 1 0.10/0.27 b w: x1 + 1 0.10/0.27 c w: x1 + 1 0.10/0.27 #c w: x1 0.10/0.27 #a w: 0 0.10/0.27 USABLE RULES: { 1..6 } 0.10/0.27 Removed DPs: #4 0.10/0.27 Number of SCCs: 1, DPs: 1 0.10/0.27 SCC { #3 } 0.10/0.27 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.10/0.27 a w: [1;4] 0.10/0.27 b w: [0,1;0,0] * x1 + [1;1] 0.10/0.27 c w: [4;1] 0.10/0.27 #c w: [1,0;0,0] * x1 0.10/0.27 #a w: [0;0] 0.10/0.27 USABLE RULES: { 1..6 } 0.10/0.27 Removed DPs: #3 0.10/0.27 Number of SCCs: 0, DPs: 0 0.10/0.27 EOF