0.00/0.04 YES 0.00/0.05 Input TRS: 0.00/0.05 1: f(0(x1)) -> s(0(x1)) 0.00/0.05 2: d(0(x1)) -> 0(x1) 0.00/0.05 3: d(s(x1)) -> s(s(d(p(s(x1))))) 0.00/0.05 4: f(s(x1)) -> d(f(p(s(x1)))) 0.00/0.05 5: p(s(x1)) -> x1 0.00/0.05 Number of strict rules: 5 0.00/0.05 Direct POLO(bPol) ... removes: 1 0.00/0.05 d w: x1 0.00/0.05 s w: x1 0.00/0.05 f w: x1 + 1 0.00/0.05 p w: x1 0.00/0.05 0 w: x1 + 1 0.00/0.05 Number of strict rules: 4 0.00/0.05 Direct POLO(bPol) ... failed. 0.00/0.05 Uncurrying p 0.00/0.05 2: d(0(x1)) -> 0(x1) 0.00/0.05 3: d(s(x1)) -> s(s(d(p^1_s(x1)))) 0.00/0.05 4: f(s(x1)) -> d(f(p^1_s(x1))) 0.00/0.05 5: p^1_s(x1) -> x1 0.00/0.05 6: p(s(_1)) ->= p^1_s(_1) 0.00/0.05 Number of strict rules: 4 0.00/0.05 Direct POLO(bPol) ... removes: 6 0.00/0.05 d w: x1 0.00/0.05 s w: x1 0.00/0.05 p^1_s w: x1 0.00/0.05 f w: x1 + 1 0.00/0.05 p w: x1 + 1 0.00/0.05 0 w: 2 * x1 + 1 0.00/0.05 Number of strict rules: 4 0.00/0.05 Direct POLO(bPol) ... failed. 0.00/0.05 Dependency Pairs: 0.00/0.05 #1: #d(s(x1)) -> #d(p^1_s(x1)) 0.00/0.05 #2: #d(s(x1)) -> #p^1_s(x1) 0.00/0.05 #3: #f(s(x1)) -> #d(f(p^1_s(x1))) 0.00/0.05 #4: #f(s(x1)) -> #f(p^1_s(x1)) 0.00/0.05 #5: #f(s(x1)) -> #p^1_s(x1) 0.00/0.05 Number of SCCs: 2, DPs: 2 0.00/0.05 SCC { #4 } 0.00/0.05 POLO(Sum)... succeeded. 0.00/0.05 d w: 0 0.00/0.05 s w: x1 + 2 0.00/0.05 #p^1_s w: 0 0.00/0.05 p^1_s w: x1 + 1 0.00/0.05 f w: 0 0.00/0.05 p w: 0 0.00/0.05 0 w: 0 0.00/0.05 #d w: 0 0.00/0.05 #f w: x1 0.00/0.05 USABLE RULES: { 5 } 0.00/0.05 Removed DPs: #4 0.00/0.05 Number of SCCs: 1, DPs: 1 0.00/0.05 SCC { #1 } 0.00/0.05 POLO(Sum)... succeeded. 0.00/0.05 d w: 0 0.00/0.05 s w: x1 + 2 0.00/0.05 #p^1_s w: 0 0.00/0.05 p^1_s w: x1 + 1 0.00/0.05 f w: 0 0.00/0.05 p w: 0 0.00/0.05 0 w: 0 0.00/0.05 #d w: x1 0.00/0.05 #f w: x1 0.00/0.05 USABLE RULES: { 5 } 0.00/0.05 Removed DPs: #1 0.00/0.05 Number of SCCs: 0, DPs: 0 0.00/0.05 EOF