0.00/0.03 YES 0.00/0.04 Input TRS: 0.00/0.04 C symbols: gcd 0.00/0.04 1: le(0(),y) -> true() 0.00/0.04 2: le(s(x),0()) -> false() 0.00/0.04 3: le(s(x),s(y)) -> le(x,y) 0.00/0.04 4: pred(s(x)) -> x 0.00/0.04 5: minus(x,0()) -> x 0.00/0.04 6: minus(x,s(y)) -> pred(minus(x,y)) 0.00/0.04 7: gcd(0(),y) -> y 0.00/0.04 8: gcd(s(x),0()) -> s(x) 0.00/0.04 9: gcd(s(x),s(y)) -> if_gcd(le(y,x),s(x),s(y)) 0.00/0.04 10: if_gcd(true(),s(x),s(y)) -> gcd(minus(x,y),s(y)) 0.00/0.04 11: if_gcd(false(),s(x),s(y)) -> gcd(minus(y,x),s(x)) 0.00/0.04 Number of strict rules: 11 0.00/0.04 Direct POLO(bPol) ... failed. 0.00/0.04 Uncurrying ... failed. 0.00/0.04 Dependency Pairs: 0.00/0.04 #1: #minus(x,s(y)) -> #pred(minus(x,y)) 0.00/0.04 #2: #minus(x,s(y)) -> #minus(x,y) 0.00/0.04 #3: #gcd(s(x),s(y)) -> #if_gcd(le(y,x),s(x),s(y)) 0.00/0.04 #4: #gcd(s(x),s(y)) -> #le(y,x) 0.00/0.04 #5: #if_gcd(false(),s(x),s(y)) -> #gcd(minus(y,x),s(x)) 0.00/0.04 #6: #if_gcd(false(),s(x),s(y)) -> #minus(y,x) 0.00/0.04 #7: #if_gcd(true(),s(x),s(y)) -> #gcd(minus(x,y),s(y)) 0.00/0.04 #8: #if_gcd(true(),s(x),s(y)) -> #minus(x,y) 0.00/0.04 #9: #le(s(x),s(y)) -> #le(x,y) 0.00/0.04 Number of SCCs: 3, DPs: 5 0.00/0.04 SCC { #2 } 0.00/0.04 POLO(Sum)... succeeded. 0.00/0.04 le w: 0 0.00/0.04 s w: x1 + 1 0.00/0.04 #le w: 0 0.00/0.04 minus w: 0 0.00/0.04 gcd w: 0 0.00/0.04 false w: 0 0.00/0.04 true w: 0 0.00/0.04 pred w: 0 0.00/0.04 0 w: 0 0.00/0.04 #minus w: x2 0.00/0.04 #pred w: 0 0.00/0.04 if_gcd w: 0 0.00/0.04 #if_gcd w: 0 0.00/0.04 #gcd w: 0 0.00/0.04 USABLE RULES: { } 0.00/0.04 Removed DPs: #2 0.00/0.04 Number of SCCs: 2, DPs: 4 0.00/0.04 SCC { #9 } 0.00/0.04 POLO(Sum)... succeeded. 0.00/0.04 le w: 0 0.00/0.04 s w: x1 + 1 0.00/0.04 #le w: x2 0.00/0.04 minus w: 0 0.00/0.04 gcd w: 0 0.00/0.04 false w: 0 0.00/0.04 true w: 0 0.00/0.04 pred w: 0 0.00/0.04 0 w: 0 0.00/0.04 #minus w: 0 0.00/0.04 #pred w: 0 0.00/0.04 if_gcd w: 0 0.00/0.04 #if_gcd w: 0 0.00/0.04 #gcd w: 0 0.00/0.04 USABLE RULES: { } 0.00/0.04 Removed DPs: #9 0.00/0.04 Number of SCCs: 1, DPs: 3 0.00/0.04 SCC { #3 #5 #7 } 0.00/0.04 POLO(Sum)... succeeded. 0.00/0.04 le w: x1 + x2 + 1 0.00/0.04 s w: x1 + 3 0.00/0.04 #le w: 0 0.00/0.04 minus w: x1 + 1 0.00/0.04 gcd w: 0 0.00/0.04 false w: 6 0.00/0.04 true w: 3 0.00/0.04 pred w: x1 0.00/0.04 0 w: 1 0.00/0.04 #minus w: 0 0.00/0.04 #pred w: 0 0.00/0.04 if_gcd w: 0 0.00/0.04 #if_gcd w: x2 + x3 0.00/0.04 #gcd w: x1 + x2 + 1 0.00/0.04 USABLE RULES: { 4..6 } 0.00/0.04 Removed DPs: #3 #5 #7 0.00/0.04 Number of SCCs: 0, DPs: 0 0.00/0.04 Next Dependency Pairs: 0.00/0.04 Number of SCCs: 0, DPs: 0 0.00/0.04 EOF