0.00/0.06 YES 0.00/0.06 Input TRS: 0.00/0.06 1: a(b(x1)) -> b(a(a(a(x1)))) 0.00/0.06 2: b(a(x1)) -> a(a(x1)) 0.00/0.06 3: a(a(x1)) -> a(c(b(x1))) 0.00/0.06 Number of strict rules: 3 0.00/0.06 Direct POLO(bPol) ... failed. 0.00/0.06 Uncurrying ... failed. 0.00/0.06 Dependency Pairs: 0.00/0.06 #1: #b(a(x1)) -> #a(a(x1)) 0.00/0.06 #2: #a(a(x1)) -> #a(c(b(x1))) 0.00/0.06 #3: #a(a(x1)) -> #b(x1) 0.00/0.06 #4: #a(b(x1)) -> #b(a(a(a(x1)))) 0.00/0.06 #5: #a(b(x1)) -> #a(a(a(x1))) 0.00/0.06 #6: #a(b(x1)) -> #a(a(x1)) 0.00/0.06 #7: #a(b(x1)) -> #a(x1) 0.00/0.06 Number of SCCs: 1, DPs: 6 0.00/0.06 SCC { #1 #3..7 } 0.00/0.06 POLO(Sum)... succeeded. 0.00/0.06 a w: x1 0.00/0.06 b w: x1 + 1 0.00/0.06 c w: 0 0.00/0.06 #a w: x1 0.00/0.06 #b w: x1 0.00/0.06 USABLE RULES: { 1..3 } 0.00/0.06 Removed DPs: #4..7 0.00/0.06 Number of SCCs: 1, DPs: 2 0.00/0.06 SCC { #1 #3 } 0.00/0.06 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. 0.00/0.06 a s: [1] p: 1 w: x1 0.00/0.06 b s: [] p: 2 w: x1 + 1 0.00/0.06 c s: [] p: 1 w: 0 0.00/0.06 #a s: [1] p: 0 w: x1 0.00/0.06 #b s: [1] p: 0 w: x1 0.00/0.06 USABLE RULES: { 1..3 } 0.00/0.06 Removed DPs: #3 0.00/0.06 Number of SCCs: 0, DPs: 0 0.00/0.06 EOF