MAYBE 0.09/0.17 MAYBE 0.09/0.18 0.09/0.18 Problem: 0.09/0.18 le(0(),y,z) -> greater(y,z) 0.09/0.18 le(s(x),0(),z) -> false() 0.09/0.18 le(s(x),s(y),0()) -> false() 0.09/0.18 le(s(x),s(y),s(z)) -> le(x,y,z) 0.09/0.18 greater(x,0()) -> first() 0.09/0.18 greater(0(),s(y)) -> second() 0.09/0.18 greater(s(x),s(y)) -> greater(x,y) 0.09/0.18 double(0()) -> 0() 0.09/0.18 double(s(x)) -> s(s(double(x))) 0.09/0.18 triple(x) -> if(le(x,x,double(x)),x,0(),0()) 0.09/0.18 if(false(),x,y,z) -> true() 0.09/0.18 if(first(),x,y,z) -> if(le(s(x),y,s(z)),s(x),y,s(z)) 0.09/0.18 if(second(),x,y,z) -> if(le(s(x),s(y),z),s(x),s(y),z) 0.09/0.18 0.09/0.18 Proof: 0.09/0.18 Open 0.09/0.18 EOF