0.00/0.39 YES 0.00/0.39 Input TRS: 0.00/0.39 1: a(b(c(x1))) -> c(b(c(x1))) 0.00/0.39 2: c(b(c(x1))) -> a(c(b(x1))) 0.00/0.39 3: b(c(c(x1))) -> b(b(b(x1))) 0.00/0.39 4: b(b(a(x1))) -> b(c(a(x1))) 0.00/0.39 5: a(c(a(x1))) ->= a(b(a(x1))) 0.00/0.39 6: a(b(b(x1))) ->= c(c(c(x1))) 0.00/0.39 Number of strict rules: 4 0.00/0.39 Direct POLO(bPol) ... failed. 0.00/0.39 Uncurrying ... failed. 0.00/0.39 Dependency Pairs: 0.00/0.39 #1: #c(b(c(x1))) -> #a(c(b(x1))) 0.00/0.39 #2: #c(b(c(x1))) -> #c(b(x1)) 0.00/0.39 #3: #c(b(c(x1))) -> #b(x1) 0.00/0.39 #4: #a(b(b(x1))) ->? #c(c(c(x1))) 0.00/0.39 #5: #a(b(b(x1))) ->? #c(c(x1)) 0.00/0.39 #6: #a(b(b(x1))) ->? #c(x1) 0.00/0.39 #7: #a(c(a(x1))) ->? #a(b(a(x1))) 0.00/0.39 #8: #a(c(a(x1))) ->? #b(a(x1)) 0.00/0.39 #9: #b(c(c(x1))) -> #b(b(b(x1))) 0.00/0.39 #10: #b(c(c(x1))) -> #b(b(x1)) 0.00/0.39 #11: #b(c(c(x1))) -> #b(x1) 0.00/0.39 #12: #a(b(c(x1))) -> #c(b(c(x1))) 0.00/0.39 #13: #b(b(a(x1))) -> #b(c(a(x1))) 0.00/0.39 #14: #b(b(a(x1))) -> #c(a(x1)) 0.00/0.39 Number of SCCs: 2, DPs: 9 0.00/0.39 SCC { #9..11 #13 } 0.00/0.39 POLO(Sum)... succeeded. 0.00/0.39 a w: x1 + 1 0.00/0.39 b w: x1 + 1 0.00/0.39 c w: x1 + 1 0.00/0.39 #c w: 0 0.00/0.39 #a w: 0 0.00/0.39 #b w: x1 0.00/0.39 USABLE RULES: { 1..6 } 0.00/0.39 Removed DPs: #10 #11 0.00/0.39 Number of SCCs: 2, DPs: 7 0.00/0.39 SCC { #9 #13 } 0.00/0.39 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.39 a w: [1,0;0,0] * x1 + [1;2] 0.00/0.39 b w: [0,1;0,0] * x1 + [1;0] 0.00/0.39 c w: [2;0] 0.00/0.39 #c w: [0;0] 0.00/0.39 #a w: [0;0] 0.00/0.39 #b w: [1,0;0,0] * x1 0.00/0.39 USABLE RULES: { 3 4 } 0.00/0.39 Removed DPs: #9 #13 0.00/0.39 Number of SCCs: 1, DPs: 5 0.00/0.39 SCC { #1 #2 #6 #7 #12 } 0.00/0.39 POLO(Sum)... succeeded. 0.00/0.39 a w: x1 + 1 0.00/0.39 b w: x1 + 1 0.00/0.39 c w: x1 + 1 0.00/0.39 #c w: x1 0.00/0.39 #a w: x1 0.00/0.39 #b w: 0 0.00/0.39 USABLE RULES: { 1..6 } 0.00/0.39 Removed DPs: #2 #6 0.00/0.39 Number of SCCs: 1, DPs: 3 0.00/0.39 SCC { #1 #7 #12 } 0.00/0.39 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.39 a w: [0,0;0,1] * x1 + [2;0] 0.00/0.39 b w: [1;3] 0.00/0.39 c w: [0,0;1,0] * x1 + [2;1] 0.00/0.39 #c w: [0,0;0,1] * x1 + [4;0] 0.00/0.39 #a w: [1,1;0,1] * x1 + [0;1] 0.00/0.39 #b w: [1,0;0,0] * x1 0.00/0.39 USABLE RULES: { 1..6 } 0.00/0.39 Removed DPs: #7 0.00/0.39 Number of SCCs: 0, DPs: 0 0.00/0.39 EOF