% Mizar problem: t18_dirort,dirort,851,5 
fof(t18_dirort, conjecture,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(A)) )  =>  (v3_dirort(A) =>  ( ( ~ (v5_dirort(A))  &  ~ (v6_dirort(A)) )  | v4_dirort(A)) ) ) ) ).
fof(d1_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_analmetr(A))  =>  (v1_dirort(A) <=>  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (! [F] :  (m1_subset_1(F, u1_struct_0(A)) =>  (r4_analmetr(A, B, B, D, F) &  (r4_analmetr(A, B, D, F, F) &  ( ~ ( (r4_analmetr(A, B, D, C, E) &  (r4_analmetr(A, B, D, E, C) &  ( ~ (B=D)  &  ~ (C=E) ) ) ) )  &  ( ~ ( (r4_analmetr(A, B, D, C, E) &  (r4_analmetr(A, B, D, C, F) &  ( ~ (r4_analmetr(A, B, D, E, F))  &  ~ (r4_analmetr(A, B, D, F, E)) ) ) ) )  &  ( (r4_analmetr(A, B, D, C, E) => r4_analmetr(A, D, B, E, C))  &  ( ( (r4_analmetr(A, B, D, C, E) & r4_analmetr(A, B, D, E, F))  => r4_analmetr(A, B, D, C, F))  &  ~ ( (r4_analmetr(A, B, C, D, E) &  ( ~ (r4_analmetr(A, D, E, B, C))  &  ~ (r4_analmetr(A, D, E, C, B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )  &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  ( ~ (D=E)  & r4_analmetr(A, D, E, B, C)) ) ) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (? [E] :  (m1_subset_1(E, u1_struct_0(A)) &  ( ~ (D=E)  & r4_analmetr(A, B, C, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_l1_analmetr, axiom,  (! [A] :  (l1_analmetr(A) => l1_struct_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_u1_struct_0, axiom, $true).
fof(existence_l1_analmetr, axiom,  (? [A] : l1_analmetr(A)) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(rc1_dirort, axiom,  (? [A] :  (l1_analmetr(A) &  ( ~ (v2_struct_0(A))  & v1_dirort(A)) ) ) ).
fof(rc4_analmetr, axiom,  (? [A] :  (l1_analmetr(A) &  ~ (v2_struct_0(A)) ) ) ).
