0.00/0.27 MAYBE 0.00/0.28 Input TRS: 0.00/0.28 1: le(0(),y) -> true() 0.00/0.28 2: le(s(x),0()) -> false() 0.00/0.28 3: le(s(x),s(y)) -> le(x,y) 0.00/0.28 4: pred(s(x)) -> x 0.00/0.28 5: minus(x,0()) -> x 0.00/0.28 6: minus(x,s(y)) -> pred(minus(x,y)) 0.00/0.28 7: gcd(0(),y) -> y 0.00/0.28 8: gcd(s(x),0()) -> s(x) 0.00/0.28 9: gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y)) 0.00/0.28 10: if_gcd(true(),x,y) -> gcd(minus(x,y),y) 0.00/0.28 11: if_gcd(false(),x,y) -> gcd(minus(y,x),x) 0.00/0.28 12: rand(x) ->= x 0.00/0.28 13: rand(x) ->= rand(s(x)) 0.00/0.28 Number of strict rules: 11 0.00/0.28 Direct POLO(bPol) ... failed. 0.00/0.28 Uncurrying ... failed. 0.00/0.28 Dependency Pairs: 0.00/0.28 #1: #minus(x,s(y)) -> #pred(minus(x,y)) 0.00/0.28 #2: #minus(x,s(y)) -> #minus(x,y) 0.00/0.28 #3: #gcd(s(x),s(y)) -> #if_gcd(le(y,x),s(x),s(y)) 0.00/0.28 #4: #gcd(s(x),s(y)) -> #le(y,x) 0.00/0.28 #5: #if_gcd(false(),x,y) -> #gcd(minus(y,x),x) 0.00/0.28 #6: #if_gcd(false(),x,y) -> #minus(y,x) 0.00/0.28 #7: #if_gcd(true(),x,y) -> #gcd(minus(x,y),y) 0.00/0.28 #8: #if_gcd(true(),x,y) -> #minus(x,y) 0.00/0.28 #9: #le(s(x),s(y)) -> #le(x,y) 0.00/0.28 Number of SCCs: 3, DPs: 5 0.00/0.28 SCC { #2 } 0.00/0.28 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. 0.00/0.28 le s: [2,1] p: 3 w: max(x1 + 2, x2 + 2) 0.00/0.28 s s: [1] p: 1 w: x1 0.00/0.28 #le s: [] p: 0 w: 0 0.00/0.28 minus s: 1 0.00/0.28 gcd s: [] p: 4 w: max(x1 + 2, x2 + 2) 0.00/0.28 false s: [] p: 2 w: 1 0.00/0.28 true s: [] p: 3 w: 1 0.00/0.28 pred s: 1 0.00/0.28 rand s: [] p: 0 w: x1 + 1 0.00/0.28 0 s: [] p: 2 w: 0 0.00/0.28 #minus s: [2] p: 0 w: max(x2 + 1) 0.00/0.28 #pred s: [] p: 0 w: 0 0.00/0.28 if_gcd s: [] p: 4 w: max(x1, x2 + 2, x3 + 2) 0.00/0.28 #if_gcd s: [] p: 0 w: max(x2 + 1) 0.00/0.28 #gcd s: [1,2] p: 0 w: max(x1 + 1, x2 + 1) 0.00/0.28 Removed DPs: #2 0.00/0.28 Number of SCCs: 2, DPs: 4 0.00/0.28 SCC { #9 } 0.00/0.28 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... succeeded. 0.00/0.28 le s: [2,1] p: 3 w: max(x1 + 2, x2 + 2) 0.00/0.28 s s: [1] p: 1 w: x1 0.00/0.28 #le s: [2] p: 2 w: max(x2) 0.00/0.28 minus s: 1 0.00/0.28 gcd s: [] p: 4 w: max(x1 + 2, x2 + 2) 0.00/0.28 false s: [] p: 2 w: 1 0.00/0.28 true s: [] p: 3 w: 1 0.00/0.28 pred s: 1 0.00/0.28 rand s: [] p: 0 w: x1 + 1 0.00/0.28 0 s: [] p: 2 w: 0 0.00/0.28 #minus s: [2] p: 0 w: max(x2 + 1) 0.00/0.28 #pred s: [] p: 0 w: 0 0.00/0.28 if_gcd s: [] p: 4 w: max(x1, x2 + 2, x3 + 2) 0.00/0.28 #if_gcd s: [] p: 0 w: max(x2 + 1) 0.00/0.28 #gcd s: [1,2] p: 0 w: max(x1 + 1, x2 + 1) 0.00/0.28 Removed DPs: #9 0.00/0.28 Number of SCCs: 1, DPs: 3 0.00/0.28 SCC { #3 #5 #7 } 0.00/0.28 POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed. 0.00/0.28 Finding a loop... failed. 0.00/0.28 EOF