fof(goal, conjecture,(![P,A,B,C,R]:((line(P)&point(A)&ninc_po_l(A,P)&point(B)&point(C)&B!=C&inc_po_l(B,P)&inc_po_l(C,P)&ncol(A,B,C)&plane(R)&inc_po_pl(A,R)&inc_po_pl(B,R)&inc_po_pl(C,R))=>(inc_l_pl(P,R)&inc_po_pl(A,R))))).
