0.00/0.14 YES 0.00/0.14 Input TRS: 0.00/0.14 1: t(f(x1)) -> t(c(n(x1))) 0.00/0.14 2: n(f(x1)) -> f(n(x1)) 0.00/0.14 3: o(f(x1)) -> f(o(x1)) 0.00/0.14 4: n(s(x1)) -> f(s(x1)) 0.00/0.14 5: o(s(x1)) -> f(s(x1)) 0.00/0.14 6: c(f(x1)) -> f(c(x1)) 0.00/0.14 7: c(n(x1)) -> n(c(x1)) 0.00/0.14 8: c(o(x1)) -> o(c(x1)) 0.00/0.14 9: c(o(x1)) -> o(x1) 0.00/0.14 Number of strict rules: 9 0.00/0.14 Direct POLO(bPol) ... removes: 5 0.00/0.14 s w: x1 + 1 0.00/0.14 n w: x1 + 1 0.00/0.14 t w: 2 * x1 0.00/0.14 c w: x1 0.00/0.14 f w: x1 + 1 0.00/0.14 o w: x1 + 2 0.00/0.14 Number of strict rules: 8 0.00/0.14 Direct POLO(bPol) ... removes: 3 0.00/0.14 s w: x1 + 1 0.00/0.14 n w: x1 + 1 0.00/0.14 t w: x1 0.00/0.14 c w: x1 0.00/0.14 f w: x1 + 1 0.00/0.14 o w: 2 * x1 + 2 0.00/0.14 Number of strict rules: 7 0.00/0.14 Direct POLO(bPol) ... failed. 0.00/0.14 Uncurrying ... failed. 0.00/0.14 Dependency Pairs: 0.00/0.14 #1: #n(f(x1)) -> #n(x1) 0.00/0.14 #2: #c(f(x1)) -> #c(x1) 0.00/0.14 #3: #c(n(x1)) -> #n(c(x1)) 0.00/0.14 #4: #c(n(x1)) -> #c(x1) 0.00/0.14 #5: #t(f(x1)) -> #t(c(n(x1))) 0.00/0.14 #6: #t(f(x1)) -> #c(n(x1)) 0.00/0.14 #7: #t(f(x1)) -> #n(x1) 0.00/0.14 #8: #c(o(x1)) -> #c(x1) 0.00/0.14 Number of SCCs: 3, DPs: 5 0.00/0.14 SCC { #1 } 0.00/0.14 POLO(Sum)... succeeded. 0.00/0.14 s w: 0 0.00/0.14 n w: 0 0.00/0.14 t w: 0 0.00/0.14 c w: 0 0.00/0.14 f w: x1 + 1 0.00/0.14 o w: 0 0.00/0.14 #c w: 0 0.00/0.14 #t w: 0 0.00/0.14 #n w: x1 0.00/0.14 USABLE RULES: { } 0.00/0.14 Removed DPs: #1 0.00/0.14 Number of SCCs: 2, DPs: 4 0.00/0.14 SCC { #5 } 0.00/0.14 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... succeeded. 0.00/0.14 s w: [0,1;1,1] * x1 + [2;1] 0.00/0.14 n w: [1,0;1,1] * x1 + [0;1] 0.00/0.14 t w: [0;0] 0.00/0.14 c w: [0,0;0,1] * x1 + [0;1] 0.00/0.14 f w: x1 + [0;3] 0.00/0.14 o w: [0,0;0,1] * x1 + [0;1] 0.00/0.14 #c w: [0;0] 0.00/0.14 #t w: [1,1;1,1] * x1 0.00/0.14 #n w: [0;0] 0.00/0.14 USABLE RULES: { 2 4 6..9 } 0.00/0.14 Removed DPs: #5 0.00/0.14 Number of SCCs: 1, DPs: 3 0.00/0.14 SCC { #2 #4 #8 } 0.00/0.14 POLO(Sum)... succeeded. 0.00/0.14 s w: 1 0.00/0.14 n w: x1 + 1 0.00/0.14 t w: 0 0.00/0.14 c w: x1 + 1 0.00/0.14 f w: x1 + 1 0.00/0.14 o w: x1 + 1 0.00/0.14 #c w: x1 0.00/0.14 #t w: 0 0.00/0.14 #n w: 0 0.00/0.14 USABLE RULES: { 2 4 6..9 } 0.00/0.14 Removed DPs: #2 #4 #8 0.00/0.14 Number of SCCs: 0, DPs: 0 0.00/0.14 EOF