% Mizar problem: l13_afvect01,afvect01,265,4 
fof(l13_afvect01, conjecture,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(o_0_0_afvect01), u1_struct_0(o_0_0_afvect01)), k2_zfmisc_1(u1_struct_0(o_0_0_afvect01), u1_struct_0(o_0_0_afvect01))))) &  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), A) <=>  (r2_hidden(B, k2_zfmisc_1(u1_struct_0(o_0_0_afvect01), u1_struct_0(o_0_0_afvect01))) &  (r2_hidden(C, k2_zfmisc_1(u1_struct_0(o_0_0_afvect01), u1_struct_0(o_0_0_afvect01))) &  (? [D] :  (m1_subset_1(D, u1_struct_0(o_0_0_afvect01)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(o_0_0_afvect01)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(o_0_0_afvect01)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(o_0_0_afvect01)) &  (B=k4_tarski(D, E) &  (C=k4_tarski(F, G) & r2_diraf(o_0_0_afvect01, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(dt_k5_ordinal1, axiom, $true).
fof(cc11_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, 1) =>  ( ~ (v2_struct_0(A))  & v7_struct_0(A)) ) ) ) ).
fof(cc9_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, k5_ordinal1) => v2_struct_0(A)) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc21_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc4_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(cc10_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ( ~ (v2_struct_0(A))  & v7_struct_0(A))  => v13_struct_0(A, 1)) ) ) ).
fof(cc1_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v7_struct_0(A)) ) ) ).
fof(cc4_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) =>  (v2_struct_0(A) & v8_struct_0(A)) ) ) ) ).
fof(cc5_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ( ~ (v2_struct_0(A))  &  ~ (v8_struct_0(A)) ) ) ) ) ).
fof(cc7_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ~ (v7_struct_0(A)) ) ) ) ).
fof(cc8_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v13_struct_0(A, k5_ordinal1)) ) ) ).
fof(fc1_struct_0, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_struct_0(A))  => v1_xboole_0(u1_struct_0(A))) ) ).
fof(fc2_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_xboole_0(u1_struct_0(A))) ) ) ).
fof(fc8_struct_0, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_struct_0(A))  => v1_finset_1(u1_struct_0(A))) ) ).
fof(fc9_struct_0, axiom,  (! [A] :  ( ( ~ (v8_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_finset_1(u1_struct_0(A))) ) ) ).
fof(rc22_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(dt_l1_analoaf, axiom,  (! [A] :  (l1_analoaf(A) => l1_struct_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(cc17_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc2_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc6_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v7_struct_0(A) => v8_struct_0(A)) ) ) ).
fof(fc6_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_zfmisc_1(u1_struct_0(A))) ) ) ).
fof(fc7_struct_0, axiom,  (! [A] :  ( (v7_struct_0(A) & l1_struct_0(A))  => v1_zfmisc_1(u1_struct_0(A))) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k4_tarski, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_o_0_0_afvect01, axiom,  ( ~ (v7_struct_0(o_0_0_afvect01))  &  (v1_afvect0(o_0_0_afvect01) & l1_analoaf(o_0_0_afvect01)) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(s1_relset_1__e13__afvect01, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(u1_struct_0(o_0_0_afvect01), u1_struct_0(o_0_0_afvect01)), k2_zfmisc_1(u1_struct_0(o_0_0_afvect01), u1_struct_0(o_0_0_afvect01))))) &  (! [B] :  (! [C] :  (r2_hidden(k4_tarski(B, C), A) <=>  (r2_hidden(B, k2_zfmisc_1(u1_struct_0(o_0_0_afvect01), u1_struct_0(o_0_0_afvect01))) &  (r2_hidden(C, k2_zfmisc_1(u1_struct_0(o_0_0_afvect01), u1_struct_0(o_0_0_afvect01))) &  (? [D] :  (m1_subset_1(D, u1_struct_0(o_0_0_afvect01)) &  (? [E] :  (m1_subset_1(E, u1_struct_0(o_0_0_afvect01)) &  (? [F] :  (m1_subset_1(F, u1_struct_0(o_0_0_afvect01)) &  (? [G] :  (m1_subset_1(G, u1_struct_0(o_0_0_afvect01)) &  (B=k4_tarski(D, E) &  (C=k4_tarski(F, G) & r2_diraf(o_0_0_afvect01, D, E, F, G)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
