0.00/0.30 YES 0.00/0.30 Input TRS: 0.00/0.30 1: c(a(b(a(b(x1))))) -> a(b(a(b(b(a(b(b(c(a(b(c(a(x1))))))))))))) 0.00/0.30 Number of strict rules: 1 0.00/0.30 Direct POLO(bPol) ... failed. 0.00/0.30 Uncurrying c^1_a c 0.00/0.30 1: c^1_a^1_b(a(b(x1))) -> a(b(a(b(b(a(b(b(c^1_a^1_b(c^1_a(x1)))))))))) 0.00/0.30 2: c(a(_1)) ->= c^1_a(_1) 0.00/0.30 3: c^1_a(b(_1)) ->= c^1_a^1_b(_1) 0.00/0.30 Number of strict rules: 1 0.00/0.30 Direct POLO(bPol) ... removes: 2 0.00/0.30 a w: x1 0.00/0.30 b w: x1 0.00/0.30 c^1_a w: x1 0.00/0.30 c w: x1 + 1 0.00/0.30 c^1_a^1_b w: x1 0.00/0.30 Number of strict rules: 1 0.00/0.30 Direct POLO(bPol) ... failed. 0.00/0.30 Dependency Pairs: 0.00/0.30 #1: #c^1_a(b(_1)) ->? #c^1_a^1_b(_1) 0.00/0.30 #2: #c^1_a^1_b(a(b(x1))) -> #c^1_a^1_b(c^1_a(x1)) 0.00/0.30 #3: #c^1_a^1_b(a(b(x1))) -> #c^1_a(x1) 0.00/0.30 Number of SCCs: 1, DPs: 3 0.00/0.30 SCC { #1..3 } 0.00/0.30 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. 0.00/0.30 a w: max(x1 - 15, 0) 0.00/0.30 b w: max(x1 + 9, 0) 0.00/0.30 c^1_a w: max(x1 - 23, 0) 0.00/0.30 c w: max(x1 - 1, 0) 0.00/0.30 c^1_a^1_b w: max(x1 - 22, 0) 0.00/0.30 #c^1_a w: max(x1 - 8, 0) 0.00/0.30 #c^1_a^1_b w: max(x1 - 1, 0) 0.00/0.30 USABLE RULES: { 1 3 } 0.00/0.30 Removed DPs: #1 0.00/0.30 Number of SCCs: 1, DPs: 1 0.00/0.30 SCC { #2 } 0.00/0.30 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.30 a w: [0,1;0,0] * x1 + [1;1] 0.00/0.30 b w: x1 + [1;1] 0.00/0.30 c^1_a w: [0,1;1,1] * x1 + [1;0] 0.00/0.30 c w: [0;0] 0.00/0.30 c^1_a^1_b w: [0,1;1,1] * x1 + [2;0] 0.00/0.30 #c^1_a w: [0;0] 0.00/0.30 #c^1_a^1_b w: [1,0;1,0] * x1 0.00/0.30 USABLE RULES: { 1 3 } 0.00/0.30 Removed DPs: #2 0.00/0.30 Number of SCCs: 0, DPs: 0 0.00/0.30 EOF