MAYBE 0.08/0.18 MAYBE 0.08/0.18 0.08/0.18 Problem: 0.08/0.18 gt(s(x),0()) -> true() 0.08/0.18 gt(0(),y) -> false() 0.08/0.18 gt(s(x),s(y)) -> gt(x,y) 0.08/0.18 divides(x,y) -> div(x,y,y) 0.08/0.18 div(0(),0(),z) -> true() 0.08/0.18 div(0(),s(x),z) -> false() 0.08/0.18 div(s(x),0(),s(z)) -> div(s(x),s(z),s(z)) 0.08/0.18 div(s(x),s(y),z) -> div(x,y,z) 0.08/0.18 prime(x) -> test(x,s(s(0()))) 0.08/0.18 test(x,y) -> if1(gt(x,y),x,y) 0.08/0.18 if1(true(),x,y) -> if2(divides(x,y),x,y) 0.08/0.18 if1(false(),x,y) -> true() 0.08/0.18 if2(true(),x,y) -> false() 0.08/0.18 if2(false(),x,y) -> test(x,s(y)) 0.08/0.18 0.08/0.18 Proof: 0.08/0.18 Open 0.08/0.19 EOF