I'd like my program to find me all sub-sets of size K of the integers 1,2,...,N. 

For this, I wrote the following subs(N,X,Y) means that X is a sub-set of size N of the set Y. I defined the following:

```
subs(0,[],X).
subs(N,[A|R1],[A|R2]):-N>0, N1 is N-1, subs(N1,R1,R2).
subs(N,[A|R1],[B|R2]):-subs(N,[A|R1],R2).
subs(N,[A|R1],[B|R2]):-subs(N,R1,[B|R2]).

```

And then as a check I ran subs(2,X,[1,2,3,4]).

I got the first answer [1,2], but never did it give a second answer, as it got stuck in an infinite loop. I tried to trace it, and seems that after finding the first answer it does:

```
   Redo: (8) subs(0, _G613, [3, 4]) ? creep
^  Call: (9) 0>0 ? creep
^  Fail: (9) 0>0 ? creep
   Redo: (8) subs(0, _G613, [3, 4]) ? creep
   Call: (9) subs(0, [_G618|_G619], [4]) ? creep
^  Call: (10) 0>0 ? creep
^  Fail: (10) 0>0 ? creep
   Redo: (9) subs(0, [_G618|_G619], [4]) ? creep
   Call: (10) subs(0, [_G618|_G619], []) ? creep
   Fail: (10) subs(0, [_G618|_G619], []) ? creep
   Redo: (9) subs(0, [_G618|_G619], [4]) ? creep
   Call: (10) subs(0, _G619, [4]) ? creep
   Exit: (10) subs(0, [], [4]) ? creep
   Exit: (9) subs(0, [_G618], [4]) ? creep
   Exit: (8) subs(0, [_G618], [3, 4]) ? creep
   Exit: (7) subs(1, [2, _G618], [2, 3, 4]) ? 

```

So I see that I get stuck with `subs(0, _G619, [4])`. Does someone have an idea of how to overcome this problem?

Thanks