fof(ax_sym_cop,axiom,(![A,B,C,D]:((point(A)&point(B)&point(C)&point(D)&cop(A,B,C,D))=>(cop(A,B,D,C)&cop(A,C,B,D)&cop(A,C,D,B)&cop(A,D,B,C)&cop(A,D,C,B)&cop(B,A,C,D)&cop(B,A,D,C)&cop(B,C,A,D)&cop(B,C,D,A)&cop(B,D,A,C)&cop(B,D,C,A)&cop(C,A,B,D)&cop(C,A,D,B)&cop(C,B,A,D)&cop(C,B,D,A)&cop(C,D,A,B)&cop(C,D,B,A)&cop(D,A,B,C)&cop(D,A,C,B)&cop(D,B,A,C)&cop(D,B,C,A)&cop(D,C,A,B)&cop(D,C,B,A))))).
