0.00/0.03 YES 0.00/0.03 Input TRS: 0.00/0.03 1: f(s(x1)) -> s(s(f(p(s(x1))))) 0.00/0.03 2: f(0(x1)) -> 0(x1) 0.00/0.03 3: p(s(x1)) -> x1 0.00/0.03 Number of strict rules: 3 0.00/0.03 Direct POLO(bPol) ... removes: 2 0.00/0.03 s w: x1 0.00/0.03 f w: x1 + 1 0.00/0.03 p w: x1 0.00/0.03 0 w: 2 * x1 + 1 0.00/0.03 Number of strict rules: 2 0.00/0.03 Direct POLO(bPol) ... failed. 0.00/0.03 Uncurrying p 0.00/0.03 1: f(s(x1)) -> s(s(f(p^1_s(x1)))) 0.00/0.03 3: p^1_s(x1) -> x1 0.00/0.03 4: p(s(_1)) ->= p^1_s(_1) 0.00/0.03 Number of strict rules: 2 0.00/0.03 Direct POLO(bPol) ... removes: 4 0.00/0.03 s w: x1 + 1 0.00/0.03 p^1_s w: x1 0.00/0.03 f w: 2 * x1 + 1 0.00/0.03 p w: 2 * x1 0.00/0.03 0 w: x1 0.00/0.03 Number of strict rules: 2 0.00/0.03 Direct POLO(bPol) ... failed. 0.00/0.03 Dependency Pairs: 0.00/0.03 #1: #f(s(x1)) -> #f(p^1_s(x1)) 0.00/0.03 #2: #f(s(x1)) -> #p^1_s(x1) 0.00/0.03 Number of SCCs: 1, DPs: 1 0.00/0.03 SCC { #1 } 0.00/0.03 POLO(Sum)... succeeded. 0.00/0.03 s w: x1 + 2 0.00/0.03 #p^1_s w: 0 0.00/0.03 p^1_s w: x1 + 1 0.00/0.03 f w: 0 0.00/0.03 p w: 0 0.00/0.03 0 w: 0 0.00/0.03 #f w: x1 0.00/0.03 USABLE RULES: { 3 } 0.00/0.03 Removed DPs: #1 0.00/0.03 Number of SCCs: 0, DPs: 0 0.00/0.03 EOF