% Mizar problem: t219_member_1,member_1,4164,5 
fof(t219_member_1, conjecture,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( ~ (C=k5_numbers)  => k25_member_1(k6_subset_1(A, B), C)=k6_subset_1(k25_member_1(A, C), k25_member_1(B, C))) ) ) ) ) ) ) ).
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_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_int_1(B)) ) ) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(cc11_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc12_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v6_membered(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_membered(B)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc14_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_membered(B)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc15_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_membered(B)) ) ) ) ).
fof(cc16_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_membered(B)) ) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_membered(B)) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc18_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_membered(B)) ) ) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc19_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v7_membered(A)) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc1_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(A)) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_rat_1, axiom,  (! [A] :  (v1_rat_1(A) => v1_xreal_0(A)) ) ).
fof(cc1_xcmplx_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xcmplx_0(A)) ) ).
fof(cc1_xxreal_3, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v3_xxreal_0(A))  &  ~ (v1_xreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
fof(cc2_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_rat_1, axiom,  (! [A] :  (v1_int_1(A) => v1_rat_1(A)) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc2_xxreal_3, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v1_xreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ) ).
fof(cc3_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_0(A)) ) ).
fof(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(A)) ) ).
fof(cc3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc4_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v2_int_1(A)) ) ).
fof(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(A)) ) ).
fof(cc4_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(A)) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc5_int_1, axiom,  (! [A] :  (v2_int_1(A) => v1_int_1(A)) ) ).
fof(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(cc5_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
fof(cc6_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xcmplx_0(B)) ) ) ) ).
fof(cc6_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc7_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xxreal_0(B)) ) ) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc8_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc9_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_rat_1(B)) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(commutativity_k12_member_1, axiom,  (! [A, B] :  ( (v2_membered(A) & v2_membered(B))  => k12_member_1(A, B)=k12_member_1(B, A)) ) ).
fof(commutativity_k13_member_1, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_membered(B))  => k13_member_1(A, B)=k13_member_1(B, A)) ) ).
fof(commutativity_k3_member_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & m1_subset_1(B, k6_numbers))  => k3_member_1(A, B)=k3_member_1(B, A)) ) ).
fof(commutativity_k3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(A, B)=k3_xcmplx_0(B, A)) ) ).
fof(commutativity_k4_xxreal_3, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => k4_xxreal_3(A, B)=k4_xxreal_3(B, A)) ) ).
fof(d10_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k13_member_1(A, B)=a_2_5_member_1(A, B)) ) ) ) ).
fof(d11_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) => k14_member_1(A, B)=k12_member_1(A, k6_member_1(B))) ) ) ) ).
fof(d12_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k15_member_1(A, B)=k13_member_1(A, k7_member_1(B))) ) ) ) ).
fof(d19_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) => k22_member_1(A, B)=k12_member_1(k1_tarski(B), A)) ) ) ) ).
fof(d20_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) => k23_member_1(A, B)=k13_member_1(k1_tarski(B), A)) ) ) ) ).
fof(d21_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v1_xxreal_0(B) => k24_member_1(A, B)=k14_member_1(k1_tarski(B), A)) ) ) ) ).
fof(d22_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_xcmplx_0(B) => k25_member_1(A, B)=k15_member_1(k1_tarski(B), A)) ) ) ) ).
fof(d2_xboole_0, axiom, k1_xboole_0=o_0_0_xboole_0).
fof(d3_member_1, axiom,  (! [A] :  (v2_membered(A) => k6_member_1(A)=a_1_2_member_1(A)) ) ).
fof(d4_member_1, axiom,  (! [A] :  (v1_membered(A) => k7_member_1(A)=a_1_3_member_1(A)) ) ).
fof(d9_member_1, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (v2_membered(B) => k12_member_1(A, B)=a_2_4_member_1(A, B)) ) ) ) ).
fof(dt_k12_member_1, axiom, $true).
fof(dt_k13_member_1, axiom, $true).
fof(dt_k14_member_1, axiom, $true).
fof(dt_k15_member_1, axiom, $true).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k22_member_1, axiom, $true).
fof(dt_k23_member_1, axiom, $true).
fof(dt_k24_member_1, axiom, $true).
fof(dt_k25_member_1, axiom, $true).
fof(dt_k2_member_1, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => m1_subset_1(k2_member_1(A), k6_numbers)) ) ).
fof(dt_k3_member_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & m1_subset_1(B, k6_numbers))  => m1_subset_1(k3_member_1(A, B), k6_numbers)) ) ).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_xboole_0, axiom, $true).
fof(dt_k4_xxreal_3, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => v1_xxreal_0(k4_xxreal_3(A, B))) ) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k5_xcmplx_0(A))) ) ).
fof(dt_k5_xxreal_3, axiom,  (! [A] :  (v1_xxreal_0(A) => v1_xxreal_0(k5_xxreal_3(A))) ) ).
fof(dt_k6_member_1, axiom,  (! [A] :  (v2_membered(A) => v2_membered(k6_member_1(A))) ) ).
fof(dt_k6_numbers, axiom, $true).
fof(dt_k6_subset_1, axiom,  (! [A, B] : m1_subset_1(k6_subset_1(A, B), k1_zfmisc_1(A))) ).
fof(dt_k7_member_1, axiom,  (! [A] :  (v1_membered(A) => v1_membered(k7_member_1(A))) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_o_0_0_xboole_0, axiom, v1_xboole_0(o_0_0_xboole_0)).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc100_member_1, axiom,  (! [A, B] :  ( ( (v2_membered(A) &  ~ (v1_xboole_0(A)) )  & v1_xxreal_0(B))  =>  ~ (v1_xboole_0(k24_member_1(A, B))) ) ) ).
fof(fc101_member_1, axiom,  (! [A, B] :  ( (v2_membered(A) & v1_xxreal_0(B))  => v2_membered(k24_member_1(A, B))) ) ).
fof(fc102_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xcmplx_0(B))  => v1_xboole_0(k25_member_1(A, B))) ) ).
fof(fc103_member_1, axiom,  (! [A, B] :  ( ( (v1_membered(A) &  ~ (v1_xboole_0(A)) )  & v1_xcmplx_0(B))  =>  ~ (v1_xboole_0(k25_member_1(A, B))) ) ) ).
fof(fc104_member_1, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_xcmplx_0(B))  => v1_membered(k25_member_1(A, B))) ) ).
fof(fc105_member_1, axiom,  (! [A, B] :  ( (v3_membered(A) & v1_xreal_0(B))  => v3_membered(k25_member_1(A, B))) ) ).
fof(fc106_member_1, axiom,  (! [A, B] :  ( (v4_membered(A) & v1_rat_1(B))  => v4_membered(k25_member_1(A, B))) ) ).
fof(fc10_member_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v2_membered(k6_member_1(A)) & v1_xboole_0(k6_member_1(A))) ) ) ).
fof(fc10_membered, axiom,  (! [A] :  (v1_rat_1(A) => v4_membered(k1_tarski(A))) ) ).
fof(fc11_member_1, axiom,  (! [A] :  ( (v2_membered(A) &  ~ (v1_xboole_0(A)) )  =>  (v2_membered(k6_member_1(A)) &  ~ (v1_xboole_0(k6_member_1(A))) ) ) ) ).
fof(fc11_membered, axiom,  (! [A] :  (v1_int_1(A) => v5_membered(k1_tarski(A))) ) ).
fof(fc11_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  => v1_setfam_1(k1_tarski(A))) ) ).
fof(fc12_member_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v1_membered(k7_member_1(A)) & v1_xboole_0(k7_member_1(A))) ) ) ).
fof(fc12_membered, axiom,  (! [A] :  (v7_ordinal1(A) => v6_membered(k1_tarski(A))) ) ).
fof(fc13_member_1, axiom,  (! [A] :  ( (v1_membered(A) &  ~ (v1_xboole_0(A)) )  =>  (v1_membered(k7_member_1(A)) &  ~ (v1_xboole_0(k7_member_1(A))) ) ) ) ).
fof(fc14_member_1, axiom,  (! [A] :  (v3_membered(A) =>  (v1_membered(k7_member_1(A)) & v3_membered(k7_member_1(A))) ) ) ).
fof(fc15_member_1, axiom,  (! [A] :  (v4_membered(A) =>  (v1_membered(k7_member_1(A)) & v4_membered(k7_member_1(A))) ) ) ).
fof(fc1_rat_1, axiom,  (! [A, B] :  ( (v1_rat_1(A) & v1_rat_1(B))  => v1_rat_1(k3_xcmplx_0(A, B))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc23_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc24_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(B, A))) ) ) ).
fof(fc24_xxreal_3, axiom,  (! [A, B] :  ( ( (v1_xxreal_0(A) & v2_xxreal_0(A))  &  (v1_xxreal_0(B) & v3_xxreal_0(B)) )  =>  (v1_xxreal_0(k4_xxreal_3(A, B)) & v3_xxreal_0(k4_xxreal_3(A, B))) ) ) ).
fof(fc25_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc25_xxreal_3, axiom,  (! [A, B] :  ( ( (v1_xxreal_0(A) & v3_xxreal_0(A))  &  (v1_xxreal_0(B) & v3_xxreal_0(B)) )  =>  (v1_xxreal_0(k4_xxreal_3(A, B)) & v2_xxreal_0(k4_xxreal_3(A, B))) ) ) ).
fof(fc26_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc26_xxreal_3, axiom,  (! [A, B] :  ( ( (v1_xxreal_0(A) & v2_xxreal_0(A))  &  (v1_xxreal_0(B) & v2_xxreal_0(B)) )  =>  (v1_xxreal_0(k4_xxreal_3(A, B)) & v2_xxreal_0(k4_xxreal_3(A, B))) ) ) ).
fof(fc27_xreal_0, axiom,  (! [A] :  ( (v2_xxreal_0(A) & v1_xreal_0(A))  =>  (v1_xcmplx_0(k5_xcmplx_0(A)) & v2_xxreal_0(k5_xcmplx_0(A))) ) ) ).
fof(fc27_xxreal_3, axiom,  (! [A, B] :  ( ( (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) )  &  (v1_xxreal_0(B) &  ~ (v3_xxreal_0(B)) ) )  =>  (v1_xxreal_0(k4_xxreal_3(A, B)) &  ~ (v2_xxreal_0(k4_xxreal_3(A, B))) ) ) ) ).
fof(fc28_xreal_0, axiom,  (! [A] :  ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k5_xcmplx_0(A)) &  ~ (v2_xxreal_0(k5_xcmplx_0(A))) ) ) ) ).
fof(fc28_xxreal_3, axiom,  (! [A, B] :  ( ( (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) )  &  (v1_xxreal_0(B) &  ~ (v2_xxreal_0(B)) ) )  =>  (v1_xxreal_0(k4_xxreal_3(A, B)) &  ~ (v3_xxreal_0(k4_xxreal_3(A, B))) ) ) ) ).
fof(fc29_xreal_0, axiom,  (! [A] :  ( (v3_xxreal_0(A) & v1_xreal_0(A))  =>  (v1_xcmplx_0(k5_xcmplx_0(A)) & v3_xxreal_0(k5_xcmplx_0(A))) ) ) ).
fof(fc29_xxreal_3, axiom,  (! [A, B] :  ( ( (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) )  &  (v1_xxreal_0(B) &  ~ (v3_xxreal_0(B)) ) )  =>  (v1_xxreal_0(k4_xxreal_3(A, B)) &  ~ (v3_xxreal_0(k4_xxreal_3(A, B))) ) ) ) ).
fof(fc2_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_membered, axiom, v2_membered(k6_numbers)).
fof(fc2_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_xboole_0, axiom,  (! [A] :  ~ (v1_xboole_0(k1_tarski(A))) ) ).
fof(fc30_xreal_0, axiom,  (! [A] :  ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k5_xcmplx_0(A)) &  ~ (v3_xxreal_0(k5_xcmplx_0(A))) ) ) ) ).
fof(fc30_xxreal_3, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) )  =>  (v1_xxreal_0(k5_xxreal_3(A)) &  ~ (v2_xxreal_0(k5_xxreal_3(A))) ) ) ) ).
fof(fc31_xxreal_3, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) )  =>  (v1_xxreal_0(k5_xxreal_3(A)) &  ~ (v3_xxreal_0(k5_xxreal_3(A))) ) ) ) ).
fof(fc36_xxreal_3, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xxreal_0(A))  &  ( ~ (v8_ordinal1(B))  & v1_xxreal_0(B)) )  =>  ( ~ (v8_ordinal1(k4_xxreal_3(A, B)))  & v1_xxreal_0(k4_xxreal_3(A, B))) ) ) ).
fof(fc37_xxreal_3, axiom,  (! [A, B] :  ( ( (v8_ordinal1(A) & v1_xxreal_0(A))  & v1_xxreal_0(B))  =>  (v8_ordinal1(k4_xxreal_3(A, B)) & v1_xxreal_0(k4_xxreal_3(A, B))) ) ) ).
fof(fc38_xxreal_3, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_xxreal_0(k5_xxreal_3(A)) & v1_xreal_0(k5_xxreal_3(A))) ) ) ).
fof(fc39_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v2_membered(B))  => v1_xboole_0(k12_member_1(A, B))) ) ).
fof(fc39_xxreal_3, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  =>  (v1_xxreal_0(k4_xxreal_3(A, B)) & v1_xreal_0(k4_xxreal_3(A, B))) ) ) ).
fof(fc3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k3_xcmplx_0(A, B))) ) ).
fof(fc40_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v2_membered(B))  => v1_xboole_0(k12_member_1(B, A))) ) ).
fof(fc41_member_1, axiom,  (! [A, B] :  ( (v2_membered(A) & v2_membered(B))  => v2_membered(k12_member_1(A, B))) ) ).
fof(fc42_member_1, axiom,  (! [A, B] :  ( ( (v2_membered(A) &  ~ (v1_xboole_0(A)) )  &  (v2_membered(B) &  ~ (v1_xboole_0(B)) ) )  =>  ~ (v1_xboole_0(k12_member_1(A, B))) ) ) ).
fof(fc43_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_membered(B))  => v1_xboole_0(k13_member_1(A, B))) ) ).
fof(fc43_membered, axiom,  (! [A, B] :  (v1_membered(A) => v1_membered(k4_xboole_0(A, B))) ) ).
fof(fc44_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_membered(B))  => v1_xboole_0(k13_member_1(B, A))) ) ).
fof(fc44_membered, axiom,  (! [A, B] :  (v2_membered(A) => v2_membered(k4_xboole_0(A, B))) ) ).
fof(fc44_xxreal_3, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v7_ordinal1(k4_xxreal_3(A, B)) & v1_xxreal_0(k4_xxreal_3(A, B))) ) ) ).
fof(fc45_member_1, axiom,  (! [A, B] :  ( ( (v1_membered(A) &  ~ (v1_xboole_0(A)) )  &  (v1_membered(B) &  ~ (v1_xboole_0(B)) ) )  =>  ~ (v1_xboole_0(k13_member_1(A, B))) ) ) ).
fof(fc45_membered, axiom,  (! [A, B] :  (v3_membered(A) => v3_membered(k4_xboole_0(A, B))) ) ).
fof(fc46_member_1, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_membered(B))  => v1_membered(k13_member_1(A, B))) ) ).
fof(fc46_membered, axiom,  (! [A, B] :  (v4_membered(A) => v4_membered(k4_xboole_0(A, B))) ) ).
fof(fc47_member_1, axiom,  (! [A, B] :  ( (v3_membered(A) & v3_membered(B))  => v3_membered(k13_member_1(A, B))) ) ).
fof(fc47_membered, axiom,  (! [A, B] :  (v5_membered(A) => v5_membered(k4_xboole_0(A, B))) ) ).
fof(fc48_member_1, axiom,  (! [A, B] :  ( (v4_membered(A) & v4_membered(B))  => v4_membered(k13_member_1(A, B))) ) ).
fof(fc48_membered, axiom,  (! [A, B] :  (v6_membered(A) => v6_membered(k4_xboole_0(A, B))) ) ).
fof(fc49_member_1, axiom,  (! [A, B] :  ( (v5_membered(A) & v5_membered(B))  => v5_membered(k13_member_1(A, B))) ) ).
fof(fc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_xcmplx_0(k5_xcmplx_0(A)) & v1_xreal_0(k5_xcmplx_0(A))) ) ) ).
fof(fc50_member_1, axiom,  (! [A, B] :  ( (v6_membered(A) & v6_membered(B))  => v6_membered(k13_member_1(A, B))) ) ).
fof(fc51_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v2_membered(B))  => v1_xboole_0(k14_member_1(A, B))) ) ).
fof(fc52_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v2_membered(B))  => v1_xboole_0(k14_member_1(B, A))) ) ).
fof(fc53_member_1, axiom,  (! [A, B] :  ( ( (v2_membered(A) &  ~ (v1_xboole_0(A)) )  &  (v2_membered(B) &  ~ (v1_xboole_0(B)) ) )  =>  ~ (v1_xboole_0(k14_member_1(A, B))) ) ) ).
fof(fc54_member_1, axiom,  (! [A, B] :  ( (v2_membered(A) & v2_membered(B))  => v2_membered(k14_member_1(A, B))) ) ).
fof(fc55_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_membered(B))  => v1_xboole_0(k15_member_1(A, B))) ) ).
fof(fc56_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_membered(B))  => v1_xboole_0(k15_member_1(B, A))) ) ).
fof(fc57_member_1, axiom,  (! [A, B] :  ( ( (v1_membered(A) &  ~ (v1_xboole_0(A)) )  &  (v1_membered(B) &  ~ (v1_xboole_0(B)) ) )  =>  ~ (v1_xboole_0(k15_member_1(A, B))) ) ) ).
fof(fc58_member_1, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_membered(B))  => v1_membered(k15_member_1(A, B))) ) ).
fof(fc59_member_1, axiom,  (! [A, B] :  ( (v3_membered(A) & v3_membered(B))  => v3_membered(k15_member_1(A, B))) ) ).
fof(fc59_membered, axiom, v7_membered(k4_ordinal1)).
fof(fc60_member_1, axiom,  (! [A, B] :  ( (v4_membered(A) & v4_membered(B))  => v4_membered(k15_member_1(A, B))) ) ).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1)).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_rat_1, axiom,  (! [A] :  (v1_rat_1(A) =>  (v1_xcmplx_0(k5_xcmplx_0(A)) & v1_rat_1(k5_xcmplx_0(A))) ) ) ).
fof(fc6_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k3_xcmplx_0(A, B))) ) ).
fof(fc7_membered, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_membered(k1_tarski(A))) ) ).
fof(fc7_xcmplx_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  =>  ( ~ (v8_ordinal1(k5_xcmplx_0(A)))  & v1_xcmplx_0(k5_xcmplx_0(A))) ) ) ).
fof(fc89_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xxreal_0(B))  => v1_xboole_0(k22_member_1(A, B))) ) ).
fof(fc8_membered, axiom,  (! [A] :  (v1_xxreal_0(A) => v2_membered(k1_tarski(A))) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc8_xcmplx_0, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  &  ( ~ (v8_ordinal1(B))  & v1_xcmplx_0(B)) )  =>  ~ (v8_ordinal1(k3_xcmplx_0(A, B))) ) ) ).
fof(fc90_member_1, axiom,  (! [A, B] :  ( ( (v2_membered(A) &  ~ (v1_xboole_0(A)) )  & v1_xxreal_0(B))  =>  ~ (v1_xboole_0(k22_member_1(A, B))) ) ) ).
fof(fc91_member_1, axiom,  (! [A, B] :  ( (v2_membered(A) & v1_xxreal_0(B))  => v2_membered(k22_member_1(A, B))) ) ).
fof(fc92_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xcmplx_0(B))  => v1_xboole_0(k23_member_1(A, B))) ) ).
fof(fc93_member_1, axiom,  (! [A, B] :  ( ( (v1_membered(A) &  ~ (v1_xboole_0(A)) )  & v1_xcmplx_0(B))  =>  ~ (v1_xboole_0(k23_member_1(A, B))) ) ) ).
fof(fc94_member_1, axiom,  (! [A, B] :  ( (v1_membered(A) & v1_xcmplx_0(B))  => v1_membered(k23_member_1(A, B))) ) ).
fof(fc95_member_1, axiom,  (! [A, B] :  ( (v3_membered(A) & v1_xreal_0(B))  => v3_membered(k23_member_1(A, B))) ) ).
fof(fc96_member_1, axiom,  (! [A, B] :  ( (v4_membered(A) & v1_rat_1(B))  => v4_membered(k23_member_1(A, B))) ) ).
fof(fc97_member_1, axiom,  (! [A, B] :  ( (v5_membered(A) & v1_int_1(B))  => v5_membered(k23_member_1(A, B))) ) ).
fof(fc98_member_1, axiom,  (! [A, B] :  ( (v6_membered(A) & v7_ordinal1(B))  => v6_membered(k23_member_1(A, B))) ) ).
fof(fc99_member_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_xxreal_0(B))  => v1_xboole_0(k24_member_1(A, B))) ) ).
fof(fc9_membered, axiom,  (! [A] :  (v1_xreal_0(A) => v3_membered(k1_tarski(A))) ) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fraenkel_a_1_2_member_1, axiom,  (! [A, B] :  (v2_membered(B) =>  (r2_hidden(A, a_1_2_member_1(B)) <=>  (? [C] :  (m1_subset_1(C, k6_numbers) &  (A=k2_member_1(C) & r2_tarski(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_1_3_member_1, axiom,  (! [A, B] :  (v1_membered(B) =>  (r2_hidden(A, a_1_3_member_1(B)) <=>  (? [C] :  (v1_xcmplx_0(C) &  (A=k5_xcmplx_0(C) & r2_hidden(C, B)) ) ) ) ) ) ).
fof(fraenkel_a_2_4_member_1, axiom,  (! [A, B, C] :  ( (v2_membered(B) & v2_membered(C))  =>  (r2_hidden(A, a_2_4_member_1(B, C)) <=>  (? [D, E] :  ( (m1_subset_1(D, k6_numbers) & m1_subset_1(E, k6_numbers))  &  (A=k3_member_1(D, E) &  (r2_tarski(D, B) & r2_tarski(E, C)) ) ) ) ) ) ) ).
fof(fraenkel_a_2_5_member_1, axiom,  (! [A, B, C] :  ( (v1_membered(B) & v1_membered(C))  =>  (r2_hidden(A, a_2_5_member_1(B, C)) <=>  (? [D, E] :  ( (v1_xcmplx_0(D) & v1_xcmplx_0(E))  &  (A=k3_xcmplx_0(D, E) &  (r2_hidden(D, B) & r2_hidden(E, C)) ) ) ) ) ) ) ).
fof(ie10_member_1, axiom,  (! [A, B, C, D] :  ( (v3_membered(A) &  (v2_membered(B) &  (v1_xreal_0(C) & v1_xxreal_0(D)) ) )  =>  ( (A=B & C=D)  => k23_member_1(A, C)=k22_member_1(B, D)) ) ) ).
fof(ie11_member_1, axiom,  (! [A, B, C, D] :  ( (v3_membered(A) &  (v2_membered(B) &  (v1_xreal_0(C) & v1_xxreal_0(D)) ) )  =>  ( (A=B & C=D)  => k25_member_1(A, C)=k24_member_1(B, D)) ) ) ).
fof(ie2_member_1, axiom,  (! [A, B] :  ( (v3_membered(A) & v2_membered(B))  =>  (A=B => k7_member_1(A)=k6_member_1(B)) ) ) ).
fof(ie4_xxreal_3, axiom,  (! [A, B, C, D] :  ( (v1_xreal_0(A) &  (v1_xreal_0(B) &  (v1_xcmplx_0(C) & v1_xcmplx_0(D)) ) )  =>  ( (A=C & B=D)  => k4_xxreal_3(A, B)=k3_xcmplx_0(C, D)) ) ) ).
fof(ie5_member_1, axiom,  (! [A, B, C, D] :  ( (v3_membered(A) &  (v3_membered(B) &  (v2_membered(C) & v2_membered(D)) ) )  =>  ( (A=C & B=D)  => k13_member_1(A, B)=k12_member_1(C, D)) ) ) ).
fof(ie5_xxreal_3, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xcmplx_0(B))  =>  (A=B => k5_xxreal_3(A)=k5_xcmplx_0(B)) ) ) ).
fof(ie6_member_1, axiom,  (! [A, B, C, D] :  ( (v3_membered(A) &  (v3_membered(B) &  (v2_membered(C) & v2_membered(D)) ) )  =>  ( (A=C & B=D)  => k15_member_1(A, B)=k14_member_1(C, D)) ) ) ).
fof(involutiveness_k5_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k5_xcmplx_0(k5_xcmplx_0(A))=A) ) ).
fof(involutiveness_k7_member_1, axiom,  (! [A] :  (v1_membered(A) => k7_member_1(k7_member_1(A))=A) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc1_int_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_int_1(A)) ) ) ) ).
fof(rc1_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_rat_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_rat_1(A)) ) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xxreal_3, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v2_xxreal_0(A) &  ~ (v1_xreal_0(A)) ) ) ) ).
fof(rc2_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(rc2_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_rat_1, axiom,  (? [A] : v1_rat_1(A)) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xxreal_3, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v3_xxreal_0(A) &  ~ (v1_xreal_0(A)) ) ) ) ).
fof(rc3_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(rc3_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v6_membered(A) & v7_membered(A)) ) ) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_xcmplx_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xcmplx_0(A)) ) ).
fof(rc3_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_xcmplx_0, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A)) ) ).
fof(rc4_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_xcmplx_0, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A)) ) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(redefinition_k2_member_1, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => k2_member_1(A)=k5_xxreal_3(A)) ) ).
fof(redefinition_k3_member_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k6_numbers) & m1_subset_1(B, k6_numbers))  => k3_member_1(A, B)=k4_xxreal_3(A, B)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k6_subset_1, axiom,  (! [A, B] : k6_subset_1(A, B)=k4_xboole_0(A, B)) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(spc10_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(k5_xcmplx_0(A), k5_xcmplx_0(B))=k5_xcmplx_0(k3_xcmplx_0(A, B))) ) ).
fof(spc7_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(A, k3_xcmplx_0(B, C))) ) ).
fof(t199_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) =>  (! [C] :  (v1_xcmplx_0(C) =>  ( ~ (C=k5_numbers)  => k23_member_1(k6_subset_1(A, B), C)=k6_subset_1(k23_member_1(A, C), k23_member_1(B, C))) ) ) ) ) ) ) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k5_numbers)=k5_numbers) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t2_tarski, axiom,  (! [A] :  (! [B] :  ( (! [C] :  (r2_hidden(C, A) <=> r2_hidden(C, B)) )  => A=B) ) ) ).
fof(t34_member_1, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (v1_membered(B) => k7_member_1(k6_subset_1(A, B))=k6_subset_1(k7_member_1(A), k7_member_1(B))) ) ) ) ).
fof(t3_boole, axiom,  (! [A] : k4_xboole_0(A, k1_xboole_0)=A) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_boole, axiom,  (! [A] : k4_xboole_0(k1_xboole_0, A)=k1_xboole_0) ).
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)) ) ) ) ) ).
