0.00/0.14 YES 0.00/0.14 Input TRS: 0.00/0.14 1: minus(x,0()) -> x 0.00/0.14 2: minus(s(x),s(y)) -> minus(x,y) 0.00/0.14 3: double(0()) -> 0() 0.00/0.14 4: double(s(x)) -> s(s(double(x))) 0.00/0.14 5: plus(0(),y) -> y 0.00/0.14 6: plus(s(x),y) -> s(plus(x,y)) 0.00/0.14 7: plus(s(x),y) -> plus(x,s(y)) 0.00/0.14 8: plus(s(x),y) -> s(plus(minus(x,y),double(y))) 0.00/0.14 9: plus(s(plus(x,y)),z) -> s(plus(plus(x,y),z)) 0.00/0.14 10: rand(x) ->= x 0.00/0.14 11: rand(x) ->= rand(s(x)) 0.00/0.14 Number of strict rules: 9 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: #minus(s(x),s(y)) -> #minus(x,y) 0.00/0.14 #2: #plus(s(x),y) -> #plus(x,y) 0.00/0.14 #3: #plus(s(plus(x,y)),z) -> #plus(plus(x,y),z) 0.00/0.14 #4: #plus(s(x),y) -> #plus(x,s(y)) 0.00/0.14 #5: #plus(s(x),y) -> #plus(minus(x,y),double(y)) 0.00/0.14 #6: #plus(s(x),y) -> #minus(x,y) 0.00/0.14 #7: #plus(s(x),y) -> #double(y) 0.00/0.14 #8: #double(s(x)) -> #double(x) 0.00/0.14 Number of SCCs: 3, DPs: 6 0.00/0.14 SCC { #8 } 0.00/0.14 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. 0.00/0.14 s s: [1] p: 1 w: x1 0.00/0.14 minus s: [1] p: 0 w: max(x1) 0.00/0.14 #plus s: [] p: 0 w: max(x2) 0.00/0.14 rand s: [] p: 0 w: x1 + 1 0.00/0.14 0 s: [] p: 2 w: 1 0.00/0.14 #double s: [1] p: 0 w: x1 + 1 0.00/0.14 double s: [1] p: 2 w: x1 0.00/0.14 #minus s: [1] p: 0 w: max(x1 + 1) 0.00/0.14 plus s: [1] p: 3 w: max(x1 + 2, x2 + 1) 0.00/0.14 Removed DPs: #8 0.00/0.14 Number of SCCs: 2, DPs: 5 0.00/0.14 SCC { #1 } 0.00/0.14 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. 0.00/0.14 s s: [1] p: 1 w: x1 0.00/0.14 minus s: [1] p: 0 w: max(x1) 0.00/0.14 #plus s: [] p: 0 w: max(x2) 0.00/0.14 rand s: [] p: 0 w: x1 + 1 0.00/0.14 0 s: [] p: 2 w: 1 0.00/0.14 #double s: [1] p: 0 w: x1 + 1 0.00/0.14 double s: [1] p: 2 w: x1 0.00/0.14 #minus s: [1] p: 2 w: max(x1 + 1) 0.00/0.14 plus s: [1] p: 3 w: max(x1 + 2, x2 + 1) 0.00/0.14 Removed DPs: #1 0.00/0.14 Number of SCCs: 1, DPs: 4 0.00/0.14 SCC { #2..5 } 0.00/0.14 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. 0.00/0.14 s s: [1] p: 1 w: x1 0.00/0.14 minus s: [1] p: 0 w: max(x1) 0.00/0.14 #plus s: 1 0.00/0.14 rand s: [] p: 0 w: x1 + 1 0.00/0.14 0 s: [] p: 3 w: 1 0.00/0.14 #double s: [1] p: 0 w: x1 + 1 0.00/0.14 double s: [1] p: 3 w: x1 0.00/0.14 #minus s: [1] p: 2 w: max(x1 + 1) 0.00/0.14 plus s: [1] p: 2 w: max(x1 + 2, x2 + 1) 0.00/0.14 Removed DPs: #2..5 0.00/0.14 Number of SCCs: 0, DPs: 0 0.00/0.14 EOF