% Mizar problem: t12_yellow_1,yellow_1,513,5 
fof(t12_yellow_1, conjecture,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( (! [B] :  (! [C] :  ( (r2_tarski(B, A) & r2_tarski(C, A))  => r2_tarski(k3_xboole_0(B, C), A)) ) )  => v2_lattice3(k1_yellow_1(A))) ) ) ).
fof(abstractness_v1_orders_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_orders_2(A) => A=g1_orders_2(u1_struct_0(A), u1_orders_2(A))) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ( ~ (v2_struct_0(A))  & v7_struct_0(A))  => v13_struct_0(A, 1)) ) ) ).
fof(cc11_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, 1) =>  ( ~ (v2_struct_0(A))  & v7_struct_0(A)) ) ) ) ).
fof(cc17_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc1_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_lattice3(A) =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc1_orders_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (v3_orders_2(A) => v2_orders_2(A)) ) ) ).
fof(cc1_partfun1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_partfun1(C, A)) ) ) ) ).
fof(cc1_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_relat_1(C)) ) ) ).
fof(cc1_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v7_struct_0(A)) ) ) ).
fof(cc1_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc1_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v3_lattice3(A))  =>  ( ~ (v2_struct_0(A))  &  (v1_lattice3(A) & v2_lattice3(A)) ) ) ) ) ).
fof(cc2_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_lattice3(A) =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc2_orders_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v6_orders_2(B, A)) ) ) ) ) ).
fof(cc2_partfun1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ~ (v1_partfun1(C, A)) ) ) ) ) ).
fof(cc2_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(cc2_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc2_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ( ~ (v1_subset_1(B, A))  =>  ~ (v1_xboole_0(B)) ) ) ) ) ) ).
fof(cc2_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v13_struct_0(A, 1) & v3_orders_2(A))  =>  (v13_struct_0(A, 1) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v3_lattice3(A)) ) ) ) ) ) ) ).
fof(cc3_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_xboole_0(C)) ) ) ) ).
fof(cc3_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v1_xboole_0(B) => v1_subset_1(B, A)) ) ) ) ) ).
fof(cc3_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v3_lattice3(A))  =>  ( ~ (v2_struct_0(A))  & v3_yellow_0(A)) ) ) ) ).
fof(cc4_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A))) => v1_xboole_0(C)) ) ) ) ).
fof(cc4_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) =>  (v2_struct_0(A) & v8_struct_0(A)) ) ) ) ).
fof(cc4_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ (v1_subset_1(B, A)) ) ) ) ) ).
fof(cc4_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (v3_yellow_0(A) =>  (v1_yellow_0(A) & v2_yellow_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(cc5_subset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_zfmisc_1(B)) ) ) ) ).
fof(cc5_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v1_yellow_0(A) & v2_yellow_0(A))  => v3_yellow_0(A)) ) ) ).
fof(cc6_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v7_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(cc9_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, k5_ordinal1) => v2_struct_0(A)) ) ) ).
fof(commutativity_k2_tarski, axiom,  (! [A, B] : k2_tarski(A, B)=k2_tarski(B, A)) ).
fof(commutativity_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, B)=k3_xboole_0(B, A)) ).
fof(d1_yellow_1, axiom,  (! [A] : k1_yellow_1(A)=g1_orders_2(A, k2_orders_1(A))) ).
fof(d2_tarski, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k2_tarski(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (D=A | D=B) ) ) ) ) ) ) ).
fof(d2_xboole_0, axiom, k1_xboole_0=o_0_0_xboole_0).
fof(d3_tarski, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ).
fof(d8_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r1_lattice3(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r1_orders_2(A, C, D)) ) ) ) ) ) ) ) ) ).
fof(d9_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (r2_lattice3(A, B, C) <=>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r2_tarski(D, B) => r1_orders_2(A, D, C)) ) ) ) ) ) ) ) ) ).
fof(dt_g1_orders_2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (v1_orders_2(g1_orders_2(A, B)) & l1_orders_2(g1_orders_2(A, B))) ) ) ).
fof(dt_k11_lattice3, axiom,  (! [A, B, C] :  ( (l1_orders_2(A) &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => m1_subset_1(k11_lattice3(A, B, C), u1_struct_0(A))) ) ).
fof(dt_k1_wellord2, axiom,  (! [A] : v1_relat_1(k1_wellord2(A))) ).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_yellow_1, axiom,  (! [A] :  (v1_orders_2(k1_yellow_1(A)) & l1_orders_2(k1_yellow_1(A))) ) ).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_orders_1, axiom,  (! [A] :  (v1_relat_2(k2_orders_1(A)) &  (v4_relat_2(k2_orders_1(A)) &  (v8_relat_2(k2_orders_1(A)) &  (v1_partfun1(k2_orders_1(A), A) & m1_subset_1(k2_orders_1(A), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ).
fof(dt_k2_tarski, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_xboole_0, axiom, $true).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_l1_orders_2, axiom,  (! [A] :  (l1_orders_2(A) => l1_struct_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_o_0_0_xboole_0, axiom, v1_xboole_0(o_0_0_xboole_0)).
fof(dt_u1_orders_2, axiom,  (! [A] :  (l1_orders_2(A) => m1_subset_1(u1_orders_2(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(existence_l1_orders_2, axiom,  (? [A] : l1_orders_2(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(fc10_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k2_zfmisc_1(A, B))) ) ) ).
fof(fc1_orders_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))))  =>  ( ~ (v2_struct_0(g1_orders_2(A, B)))  & v1_orders_2(g1_orders_2(A, B))) ) ) ).
fof(fc1_struct_0, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_struct_0(A))  => v1_xboole_0(u1_struct_0(A))) ) ).
fof(fc1_subset_1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_zfmisc_1(A))) ) ).
fof(fc2_orders_2, axiom,  (! [A] :  ( (v2_orders_2(A) & l1_orders_2(A))  => v1_partfun1(u1_orders_2(A), u1_struct_0(A))) ) ).
fof(fc2_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  => v4_relat_1(k3_xboole_0(B, C), A)) ) ).
fof(fc2_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_xboole_0(u1_struct_0(A))) ) ) ).
fof(fc3_orders_2, axiom,  (! [A] :  ( (v3_orders_2(A) & l1_orders_2(A))  => v1_relat_2(u1_orders_2(A))) ) ).
fof(fc4_orders_2, axiom,  (! [A] :  ( (v2_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) )  => v4_relat_2(u1_orders_2(A))) ) ).
fof(fc5_orders_2, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  => v8_relat_2(u1_orders_2(A))) ) ).
fof(fc5_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  => v5_relat_1(k3_xboole_0(B, C), A)) ) ).
fof(fc5_yellow_1, axiom,  (! [A] :  (v1_orders_2(k1_yellow_1(A)) &  (v3_orders_2(k1_yellow_1(A)) &  (v4_orders_2(k1_yellow_1(A)) & v5_orders_2(k1_yellow_1(A))) ) ) ) ).
fof(fc6_orders_2, axiom,  (! [A, B] :  ( (v1_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v1_orders_2(g1_orders_2(A, B)) & v3_orders_2(g1_orders_2(A, B))) ) ) ).
fof(fc6_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_zfmisc_1(u1_struct_0(A))) ) ) ).
fof(fc6_yellow_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k1_yellow_1(A)))  & v1_orders_2(k1_yellow_1(A))) ) ) ).
fof(fc7_orders_2, axiom,  (! [A, B] :  ( (v8_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v1_orders_2(g1_orders_2(A, B)) & v4_orders_2(g1_orders_2(A, B))) ) ) ).
fof(fc7_struct_0, axiom,  (! [A] :  ( (v7_struct_0(A) & l1_struct_0(A))  => v1_zfmisc_1(u1_struct_0(A))) ) ).
fof(fc8_orders_2, axiom,  (! [A, B] :  ( (v4_relat_2(B) &  (v1_partfun1(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  =>  (v1_orders_2(g1_orders_2(A, B)) & v5_orders_2(g1_orders_2(A, B))) ) ) ).
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(free_g1_orders_2, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) =>  (! [C, D] :  (g1_orders_2(A, B)=g1_orders_2(C, D) =>  (A=C & B=D) ) ) ) ) ).
fof(idempotence_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, A)=A) ).
fof(rc1_lattice3, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v3_lattice3(A)) ) ) ) ) ) ) ) ).
fof(rc1_orders_2, axiom,  (? [A] :  (l1_orders_2(A) & v1_orders_2(A)) ) ).
fof(rc1_relset_1, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ) ) ).
fof(rc1_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc1_yellow_0, axiom,  (? [A] :  (l1_orders_2(A) &  (v13_struct_0(A, 1) &  (v1_orders_2(A) & v3_orders_2(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(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(rc2_lattice3, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & v3_lattice3(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc2_orders_2, axiom,  (? [A] :  (l1_orders_2(A) &  (v13_struct_0(A, 1) &  (v1_orders_2(A) &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) & v5_orders_2(A)) ) ) ) ) ) ) ).
fof(rc2_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_xboole_0(B)) ) ) ).
fof(rc2_yellow_0, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v2_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v3_lattice3(A)) ) ) ) ) ) ) ).
fof(rc3_orders_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v6_orders_2(B, A)) ) ) ) ).
fof(rc3_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_subset_1(B, A)) ) ) ) ).
fof(rc4_orders_2, axiom,  (? [A] :  (l1_orders_2(A) &  (v2_struct_0(A) & v1_orders_2(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(rc4_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_subset_1(B, A)) ) ) ) ).
fof(rc5_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc6_subset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(redefinition_k2_orders_1, axiom,  (! [A] : k2_orders_1(A)=k1_wellord2(A)) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(redefinition_r3_orders_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (r3_orders_2(A, B, C) <=> r1_orders_2(A, B, C)) ) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(reflexivity_r3_orders_2, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  => r3_orders_2(A, B, B)) ) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(t16_yellow_0, axiom,  (! [A] :  ( (v5_orders_2(A) & l1_orders_2(A))  =>  (! [B] :  (r2_yellow_0(A, B) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(A)) &  (r1_lattice3(A, B, C) &  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (r1_lattice3(A, B, D) => r1_orders_2(A, D, C)) ) ) ) ) ) ) ) ) ) ).
fof(t17_xboole_1, axiom,  (! [A] :  (! [B] : r1_tarski(k3_xboole_0(A, B), A)) ) ).
fof(t19_xboole_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r1_tarski(C, A) & r1_tarski(C, B))  => r1_tarski(C, k3_xboole_0(A, B))) ) ) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t21_yellow_0, axiom,  (! [A] :  ( (v5_orders_2(A) & l1_orders_2(A))  =>  (v2_lattice3(A) <=>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) => r2_yellow_0(A, k2_tarski(B, C))) ) ) ) ) ) ) ).
fof(t2_boole, axiom,  (! [A] : k3_xboole_0(A, k1_xboole_0)=k1_xboole_0) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t3_yellow_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_yellow_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_yellow_1(A))) =>  (r3_orders_2(k1_yellow_1(A), B, C) <=> r1_tarski(B, C)) ) ) ) ) ) ) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t8_yellow_0, axiom,  (! [A] :  (l1_orders_2(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)) =>  ( (r1_lattice3(A, k2_tarski(C, D), B) =>  (r1_orders_2(A, B, C) & r1_orders_2(A, B, D)) )  &  ( ( (r1_orders_2(A, B, C) & r1_orders_2(A, B, D))  => r1_lattice3(A, k2_tarski(C, D), B))  &  ( (r2_lattice3(A, k2_tarski(C, D), B) =>  (r1_orders_2(A, C, B) & r1_orders_2(A, D, B)) )  &  ( (r1_orders_2(A, C, B) & r1_orders_2(A, D, B))  => r2_lattice3(A, k2_tarski(C, D), B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_yellow_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k1_yellow_1(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k1_yellow_1(A))) =>  (r2_tarski(k3_xboole_0(B, C), A) => k11_lattice3(k1_yellow_1(A), B, C)=k3_xboole_0(B, C)) ) ) ) ) ) ) ).
