0.00/0.10 YES 0.00/0.10 Input TRS: 0.00/0.10 1: a(c(a(x1))) -> c(a(c(x1))) 0.00/0.10 2: c(b(a(x1))) -> b(c(b(x1))) 0.00/0.10 3: c(c(c(x1))) ->= a(b(c(x1))) 0.00/0.10 4: a(a(b(x1))) ->= c(b(a(x1))) 0.00/0.10 5: b(c(c(x1))) ->= b(c(a(x1))) 0.00/0.10 6: b(a(a(x1))) ->= b(c(b(x1))) 0.00/0.10 Number of strict rules: 2 0.00/0.10 Direct POLO(bPol) ... removes: 4 3 6 2 0.00/0.10 a w: 2 * x1 + 2 0.00/0.10 b w: x1 + 1 0.00/0.10 c w: 2 * x1 + 2 0.00/0.10 Number of strict rules: 1 0.00/0.10 Direct POLO(bPol) ... failed. 0.00/0.10 Uncurrying b 0.00/0.10 1: a(c(a(x1))) -> c(a(c(x1))) 0.00/0.10 5: b^1_c(c(x1)) ->= b^1_c(a(x1)) 0.00/0.10 7: b(c(_1)) ->= b^1_c(_1) 0.00/0.10 Number of strict rules: 1 0.00/0.10 Direct POLO(bPol) ... removes: 7 0.00/0.10 a w: x1 + 1 0.00/0.10 b w: 2 * x1 0.00/0.10 b^1_c w: x1 0.00/0.10 c w: x1 + 1 0.00/0.10 Number of strict rules: 1 0.00/0.10 Direct POLO(bPol) ... failed. 0.00/0.10 Dependency Pairs: 0.00/0.10 #1: #b^1_c(c(x1)) ->? #b^1_c(a(x1)) 0.00/0.10 #2: #b^1_c(c(x1)) ->? #a(x1) 0.00/0.10 #3: #a(c(a(x1))) -> #a(c(x1)) 0.00/0.10 Number of SCCs: 2, DPs: 2 0.00/0.10 SCC { #1 } 0.00/0.10 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.10 a w: [1,1;0,1] * x1 + [1;2] 0.00/0.10 b w: [0;0] 0.00/0.10 #b^1_c w: [1,0;1,1] * x1 0.00/0.10 b^1_c w: [0;0] 0.00/0.10 c w: [1,1;0,1] * x1 + [2;1] 0.00/0.10 #a w: [0;0] 0.00/0.10 USABLE RULES: { 1 } 0.00/0.10 Removed DPs: #1 0.00/0.10 Number of SCCs: 1, DPs: 1 0.00/0.10 SCC { #3 } 0.00/0.10 POLO(Sum)... succeeded. 0.00/0.10 a w: x1 + 1 0.00/0.10 b w: 0 0.00/0.10 #b^1_c w: 0 0.00/0.10 b^1_c w: 0 0.00/0.10 c w: x1 + 2 0.00/0.10 #a w: x1 0.00/0.10 USABLE RULES: { } 0.00/0.10 Removed DPs: #3 0.00/0.10 Number of SCCs: 0, DPs: 0 0.00/0.10 EOF