body_pred(add,3).
body_pred(empty,3).
body_pred(height,2).
body_pred(in,4).
body_pred(lt,2).
body_pred(my_succ,2).
body_pred(position_1,1).
body_pred(position_10,1).
body_pred(position_11,1).
body_pred(position_12,1).
body_pred(position_13,1).
body_pred(position_14,1).
body_pred(position_15,1).
body_pred(position_2,1).
body_pred(position_3,1).
body_pred(position_4,1).
body_pred(position_5,1).
body_pred(position_6,1).
body_pred(position_7,1).
body_pred(position_8,1).
body_pred(position_9,1).
body_pred(value_1,1).
body_pred(width,2).
head_pred(out,4).
type(add,(position,position,position)).
type(empty,(ex,position,position)).
type(height,(ex,position)).
type(in,(ex,position,position,value)).
type(lt,(position,position)).
type(my_succ,(position,position)).
type(out,(ex,position,position,value)).
type(position_1,(position,)).
type(position_10,(position,)).
type(position_11,(position,)).
type(position_12,(position,)).
type(position_13,(position,)).
type(position_14,(position,)).
type(position_15,(position,)).
type(position_2,(position,)).
type(position_3,(position,)).
type(position_4,(position,)).
type(position_5,(position,)).
type(position_6,(position,)).
type(position_7,(position,)).
type(position_8,(position,)).
type(position_9,(position,)).
type(value_1,(value,)).
type(width,(ex,position)).

%% Popper specific bias to tell it that each rule should only reason about the BK for one example at a time
:- clause(C), #count{V : var_type(C,V,ex)} != 1.