fof(goal, conjecture,(![L,A,P1,P2]:((line(L)&point(A)&plane(P1)&plane(P2)&ninc_po_l(A,L)&inc_po_pl(A,P1)&inc_l_pl(L,P1)&inc_po_pl(A,P2)&inc_l_pl(L,P2))=>(?[B,C]:(point(B)&point(C)&B!=C&inc_po_l(B,L)&inc_po_l(C,L)))))).
