% Mizar problem: t8_dirort,dirort,345,35 
fof(t8_dirort, conjecture,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(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)) =>  (r2_dirort(A, B, C, D, E) => r2_dirort(A, D, E, B, C)) ) ) ) ) ) ) ) ) ) ) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(dt_l1_struct_0, axiom, $true).
fof(existence_l1_analmetr, axiom,  (? [A] : l1_analmetr(A)) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(dt_l1_analmetr, axiom,  (! [A] :  (l1_analmetr(A) => l1_struct_0(A)) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_u1_struct_0, axiom, $true).
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)) ) ) ).
fof(d3_dirort, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_dirort(A) & l1_analmetr(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)) =>  (r2_dirort(A, B, C, D, E) <=>  (? [F] :  (m1_subset_1(F, u1_struct_0(A)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(A)) &  ( ~ (F=G)  &  (r4_analmetr(A, F, G, B, C) & r4_analmetr(A, F, G, D, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
