0.00/0.07 YES 0.00/0.07 Input TRS: 0.00/0.07 1: b(a(a(x1))) -> a(b(c(x1))) 0.00/0.07 2: c(a(x1)) -> a(c(x1)) 0.00/0.07 3: c(b(x1)) -> b(a(x1)) 0.00/0.07 4: L(a(a(x1))) -> L(a(b(c(x1)))) 0.00/0.07 5: c(R(x1)) -> b(a(R(x1))) 0.00/0.07 Number of strict rules: 5 0.00/0.07 Direct POLO(bPol) ... failed. 0.00/0.07 Uncurrying L 0.00/0.07 1: b(a(a(x1))) -> a(b(c(x1))) 0.00/0.07 2: c(a(x1)) -> a(c(x1)) 0.00/0.07 3: c(b(x1)) -> b(a(x1)) 0.00/0.07 4: L^1_a(a(x1)) -> L^1_a(b(c(x1))) 0.00/0.07 5: c(R(x1)) -> b(a(R(x1))) 0.00/0.07 6: L(a(_1)) ->= L^1_a(_1) 0.00/0.07 Number of strict rules: 5 0.00/0.07 Direct POLO(bPol) ... removes: 6 0.00/0.07 a w: x1 + 1 0.00/0.07 b w: x1 0.00/0.07 L^1_a w: 2 * x1 0.00/0.07 c w: x1 + 1 0.00/0.07 R w: 2 * x1 + 1 0.00/0.07 L w: 2 * x1 0.00/0.07 Number of strict rules: 5 0.00/0.07 Direct POLO(bPol) ... failed. 0.00/0.07 Dependency Pairs: 0.00/0.07 #1: #c(a(x1)) -> #c(x1) 0.00/0.07 #2: #c(R(x1)) -> #b(a(R(x1))) 0.00/0.07 #3: #c(b(x1)) -> #b(a(x1)) 0.00/0.07 #4: #b(a(a(x1))) -> #b(c(x1)) 0.00/0.07 #5: #b(a(a(x1))) -> #c(x1) 0.00/0.07 #6: #L^1_a(a(x1)) -> #L^1_a(b(c(x1))) 0.00/0.07 #7: #L^1_a(a(x1)) -> #b(c(x1)) 0.00/0.07 #8: #L^1_a(a(x1)) -> #c(x1) 0.00/0.07 Number of SCCs: 2, DPs: 5 0.00/0.07 SCC { #6 } 0.00/0.07 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded. 0.00/0.07 a w: max(x1 + 2, 0) 0.00/0.07 b w: max(x1 - 1, 0) 0.00/0.07 L^1_a w: 0 0.00/0.07 c w: max(x1 + 2, 0) 0.00/0.07 R w: max(x1 - 4, 0) 0.00/0.07 L w: 0 0.00/0.07 #c w: max(x1 - 1, 0) 0.00/0.07 #L^1_a w: max(x1 + 2, 0) 0.00/0.07 #b w: 0 0.00/0.07 USABLE RULES: { 1..3 5 } 0.00/0.07 Removed DPs: #6 0.00/0.07 Number of SCCs: 1, DPs: 4 0.00/0.07 SCC { #1 #3..5 } 0.00/0.07 POLO(Sum)... succeeded. 0.00/0.07 a w: x1 + 2 0.00/0.07 b w: x1 0.00/0.07 L^1_a w: 0 0.00/0.07 c w: x1 + 2 0.00/0.07 R w: 1 0.00/0.07 L w: 0 0.00/0.07 #c w: x1 + 3 0.00/0.07 #L^1_a w: 0 0.00/0.07 #b w: x1 0.00/0.07 USABLE RULES: { 1..3 5 } 0.00/0.07 Removed DPs: #1 #3..5 0.00/0.07 Number of SCCs: 0, DPs: 0 0.00/0.07 EOF