0.00/0.28 MAYBE 0.00/0.29 Input TRS: 0.00/0.29 1: le(0(),y) -> true() 0.00/0.29 2: le(s(x),0()) -> false() 0.00/0.29 3: le(s(x),s(y)) -> le(x,y) 0.00/0.29 4: minus(x,0()) -> x 0.00/0.29 5: minus(s(x),s(y)) -> minus(x,y) 0.00/0.29 6: gcd(0(),y) -> y 0.00/0.29 7: gcd(s(x),0()) -> s(x) 0.00/0.29 8: gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y)) 0.00/0.29 9: if_gcd(true(),s(x),s(y)) -> gcd(minus(x,y),s(y)) 0.00/0.29 10: if_gcd(false(),s(x),s(y)) -> gcd(minus(y,x),s(x)) 0.00/0.29 11: rand(x) ->= x 0.00/0.29 12: rand(x) ->= rand(s(x)) 0.00/0.29 Number of strict rules: 10 0.00/0.29 Direct POLO(bPol) ... failed. 0.00/0.29 Uncurrying ... failed. 0.00/0.29 Dependency Pairs: 0.00/0.29 #1: #if_gcd(true(),s(x),s(y)) -> #gcd(minus(x,y),s(y)) 0.00/0.29 #2: #if_gcd(true(),s(x),s(y)) -> #minus(x,y) 0.00/0.29 #3: #if_gcd(false(),s(x),s(y)) -> #gcd(minus(y,x),s(x)) 0.00/0.29 #4: #if_gcd(false(),s(x),s(y)) -> #minus(y,x) 0.00/0.29 #5: #minus(s(x),s(y)) -> #minus(x,y) 0.00/0.29 #6: #le(s(x),s(y)) -> #le(x,y) 0.00/0.29 #7: #gcd(s(x),s(y)) -> #if_gcd(le(y,x),s(x),s(y)) 0.00/0.29 #8: #gcd(s(x),s(y)) -> #le(y,x) 0.00/0.29 Number of SCCs: 3, DPs: 5 0.00/0.29 SCC { #6 } 0.00/0.29 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. 0.00/0.29 le s: [] p: 1 w: max(x2 + 3) 0.00/0.29 s s: [1] p: 3 w: x1 0.00/0.29 #le s: [2,1] p: 4 w: max(x1 + 2, x2 + 1) 0.00/0.29 minus s: [1] p: 2 w: max(x1) 0.00/0.29 gcd s: [] p: 4 w: max(x1 + 3, x2 + 3) 0.00/0.29 false s: [] p: 1 w: 4 0.00/0.29 true s: [] p: 1 w: 3 0.00/0.29 rand s: [] p: 0 w: x1 + 1 0.00/0.29 0 s: [] p: 0 w: 2 0.00/0.29 #minus s: [] p: 0 w: max(x2) 0.00/0.29 if_gcd s: [] p: 4 w: max(x1, x2 + 3, x3 + 3) 0.00/0.29 #if_gcd s: [3,2,1] p: 0 w: max(x1 + 1, x2, x3 + 1) 0.00/0.29 #gcd s: [2] p: 0 w: max(x2) 0.00/0.29 Removed DPs: #6 0.00/0.29 Number of SCCs: 2, DPs: 4 0.00/0.29 SCC { #5 } 0.00/0.29 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. 0.00/0.29 le s: [] p: 1 w: max(x2 + 3) 0.00/0.29 s s: [1] p: 3 w: x1 0.00/0.29 #le s: [2,1] p: 4 w: max(x1 + 2, x2 + 1) 0.00/0.29 minus s: [1] p: 2 w: max(x1) 0.00/0.29 gcd s: [] p: 4 w: max(x1 + 3, x2 + 3) 0.00/0.29 false s: [] p: 1 w: 4 0.00/0.29 true s: [] p: 1 w: 3 0.00/0.29 rand s: [] p: 0 w: x1 + 1 0.00/0.29 0 s: [] p: 0 w: 2 0.00/0.29 #minus s: [1] p: 0 w: max(x1) 0.00/0.29 if_gcd s: [] p: 4 w: max(x1, x2 + 3, x3 + 3) 0.00/0.29 #if_gcd s: [3,2,1] p: 0 w: max(x1 + 1, x2, x3 + 1) 0.00/0.29 #gcd s: [2] p: 0 w: max(x2) 0.00/0.29 Removed DPs: #5 0.00/0.29 Number of SCCs: 1, DPs: 3 0.00/0.29 SCC { #1 #3 #7 } 0.00/0.29 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. 0.00/0.29 Finding a loop... failed. 0.00/0.29 EOF