0.00/0.09 YES 0.00/0.09 Input TRS: 0.00/0.09 1: minus(x,0()) -> x 0.00/0.09 2: minus(s(x),s(y)) -> minus(x,y) 0.00/0.09 3: f(0()) -> s(0()) 0.00/0.09 4: f(s(x)) -> minus(s(x),g(f(x))) 0.00/0.09 5: g(0()) -> 0() 0.00/0.09 6: g(s(x)) -> minus(s(x),f(g(x))) 0.00/0.09 7: rand(x) ->= x 0.00/0.09 8: rand(x) ->= rand(s(x)) 0.00/0.09 Number of strict rules: 6 0.00/0.09 Direct POLO(bPol) ... failed. 0.00/0.09 Uncurrying ... failed. 0.00/0.09 Dependency Pairs: 0.00/0.09 #1: #minus(s(x),s(y)) -> #minus(x,y) 0.00/0.09 #2: #g(s(x)) -> #minus(s(x),f(g(x))) 0.00/0.09 #3: #g(s(x)) -> #f(g(x)) 0.00/0.09 #4: #g(s(x)) -> #g(x) 0.00/0.09 #5: #f(s(x)) -> #minus(s(x),g(f(x))) 0.00/0.09 #6: #f(s(x)) -> #g(f(x)) 0.00/0.09 #7: #f(s(x)) -> #f(x) 0.00/0.09 Number of SCCs: 2, DPs: 5 0.00/0.09 SCC { #1 } 0.00/0.09 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. 0.00/0.09 s s: [1] p: 1 w: x1 0.00/0.09 minus s: [1] p: 0 w: max(x1 + 1) 0.00/0.09 f s: [1] p: 3 w: x1 + 2 0.00/0.09 rand s: [] p: 0 w: x1 + 1 0.00/0.09 0 s: [] p: 4 w: 1 0.00/0.09 #f s: [] p: 0 w: 0 0.00/0.09 #g s: [] p: 0 w: 0 0.00/0.09 #minus s: [2] p: 1 w: max(x2 + 1) 0.00/0.09 g s: [] p: 2 w: x1 + 2 0.00/0.09 Removed DPs: #1 0.00/0.09 Number of SCCs: 1, DPs: 4 0.00/0.09 SCC { #3 #4 #6 #7 } 0.00/0.09 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. 0.00/0.09 s s: [1] p: 2 w: x1 0.00/0.09 minus s: [1] p: 0 w: max(x1) 0.00/0.09 f s: [1] p: 2 w: x1 0.00/0.09 rand s: [] p: 0 w: x1 + 1 0.00/0.09 0 s: [] p: 3 w: 1 0.00/0.09 #f s: 1 0.00/0.09 #g s: 1 0.00/0.09 #minus s: [2] p: 1 w: max(x2 + 1) 0.00/0.09 g s: [1] p: 1 w: x1 0.00/0.09 Removed DPs: #3 #4 #7 0.00/0.09 Number of SCCs: 0, DPs: 0 0.00/0.09 EOF