0.00/0.45 YES 0.00/0.45 Input TRS: 0.00/0.45 1: c(c(c(x1))) -> b(b(b(x1))) 0.00/0.45 2: b(a(a(x1))) ->= a(b(c(x1))) 0.00/0.45 3: b(b(b(x1))) ->= a(a(b(x1))) 0.00/0.45 4: b(c(a(x1))) ->= a(c(a(x1))) 0.00/0.45 5: a(c(b(x1))) ->= c(a(a(x1))) 0.00/0.45 Number of strict rules: 1 0.00/0.45 Direct POLO(bPol) ... failed. 0.00/0.45 Uncurrying ... failed. 0.00/0.45 Dependency Pairs: 0.00/0.45 #1: #b(a(a(x1))) ->? #a(b(c(x1))) 0.00/0.45 #2: #b(a(a(x1))) ->? #b(c(x1)) 0.00/0.45 #3: #b(a(a(x1))) ->? #c(x1) 0.00/0.45 #4: #a(c(b(x1))) ->? #c(a(a(x1))) 0.00/0.45 #5: #a(c(b(x1))) ->? #a(a(x1)) 0.00/0.45 #6: #a(c(b(x1))) ->? #a(x1) 0.00/0.45 #7: #b(b(b(x1))) ->? #a(a(b(x1))) 0.00/0.45 #8: #b(b(b(x1))) ->? #a(b(x1)) 0.00/0.45 #9: #c(c(c(x1))) -> #b(b(b(x1))) 0.00/0.45 #10: #c(c(c(x1))) -> #b(b(x1)) 0.00/0.45 #11: #c(c(c(x1))) -> #b(x1) 0.00/0.45 #12: #b(c(a(x1))) ->? #a(c(a(x1))) 0.00/0.45 Number of SCCs: 1, DPs: 12 0.00/0.45 SCC { #1..12 } 0.00/0.45 POLO(Sum)... succeeded. 0.00/0.45 a w: x1 + 1 0.00/0.45 b w: x1 + 1 0.00/0.45 c w: x1 + 1 0.00/0.45 #c w: x1 0.00/0.45 #a w: x1 0.00/0.45 #b w: x1 0.00/0.45 USABLE RULES: { 1..5 } 0.00/0.45 Removed DPs: #2 #3 #5 #6 #8 #10 #11 0.00/0.45 Number of SCCs: 1, DPs: 5 0.00/0.45 SCC { #1 #4 #7 #9 #12 } 0.00/0.45 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.45 a w: [0,1;0,0] * x1 0.00/0.45 b w: [0,1;0,0] * x1 + [2;1] 0.00/0.45 c w: [0,0;1,1] * x1 + [3;0] 0.00/0.45 #c w: x1 + [4;0] 0.00/0.45 #a w: [5;3] 0.00/0.45 #b w: [6;3] 0.00/0.45 USABLE RULES: { 1..5 } 0.00/0.45 Removed DPs: #1 #4 #7 #9 #12 0.00/0.45 Number of SCCs: 0, DPs: 0 0.00/0.45 EOF