0.00/0.12 YES 0.00/0.13 Input TRS: 0.00/0.13 1: f(x1) -> n(c(c(x1))) 0.00/0.13 2: c(f(x1)) -> f(c(c(x1))) 0.00/0.13 3: c(c(x1)) -> c(x1) 0.00/0.13 4: n(s(x1)) -> f(s(s(x1))) 0.00/0.13 5: n(f(x1)) -> f(n(x1)) 0.00/0.13 Number of strict rules: 5 0.00/0.13 Direct POLO(bPol) ... failed. 0.00/0.13 Uncurrying ... failed. 0.00/0.13 Dependency Pairs: 0.00/0.13 #1: #c(f(x1)) -> #f(c(c(x1))) 0.00/0.13 #2: #c(f(x1)) -> #c(c(x1)) 0.00/0.13 #3: #c(f(x1)) -> #c(x1) 0.00/0.13 #4: #n(f(x1)) -> #f(n(x1)) 0.00/0.13 #5: #n(f(x1)) -> #n(x1) 0.00/0.13 #6: #f(x1) -> #n(c(c(x1))) 0.00/0.13 #7: #f(x1) -> #c(c(x1)) 0.00/0.13 #8: #f(x1) -> #c(x1) 0.00/0.13 #9: #n(s(x1)) -> #f(s(s(x1))) 0.00/0.13 Number of SCCs: 1, DPs: 9 0.00/0.13 SCC { #1..9 } 0.00/0.13 POLO(Sum)... succeeded. 0.00/0.13 s w: 1 0.00/0.13 n w: x1 + 2 0.00/0.13 c w: x1 0.00/0.13 f w: x1 + 2 0.00/0.13 #f w: x1 + 1 0.00/0.13 #c w: x1 0.00/0.13 #n w: x1 + 1 0.00/0.13 USABLE RULES: { 1..5 } 0.00/0.13 Removed DPs: #1..3 #5 #7 #8 0.00/0.13 Number of SCCs: 1, DPs: 2 0.00/0.13 SCC { #4 #6 } 0.00/0.13 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.13 s w: [1;2] 0.00/0.13 n w: [1,1;0,1] * x1 + [1;0] 0.00/0.13 c w: [1,0;0,0] * x1 0.00/0.13 f w: x1 + [3;0] 0.00/0.13 #f w: [1,0;0,0] * x1 + [1;0] 0.00/0.13 #c w: [0;0] 0.00/0.13 #n w: [1,1;0,0] * x1 0.00/0.13 USABLE RULES: { 1..5 } 0.00/0.13 Removed DPs: #4 #6 0.00/0.13 Number of SCCs: 0, DPs: 0 0.00/0.13 EOF