% Mizar problem: t77_zf_lang1,zf_lang1,1037,5 
fof(t77_zf_lang1, conjecture,  (! [A] :  (m2_subset_1(A, k4_ordinal1, k1_zf_lang) =>  (? [B] :  (m1_subset_1(B, k4_ordinal1) & A=k2_zf_lang(B)) ) ) ) ).
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_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v6_membered(A)) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(cc11_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_finseq_1(A)) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc12_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) => v4_funct_1(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc14_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_finseq_1(B)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc1_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_finset_1(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_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc1_xcmplx_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xcmplx_0(A)) ) ).
fof(cc1_zf_lang, axiom,  (! [A] :  (m1_subset_1(A, k1_zf_lang) => v7_ordinal1(A)) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_finset_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_finset_1(B)) ) ) ) ).
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_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_xxreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xxreal_0(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_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_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v2_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc4_finset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) => v1_finset_1(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_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ (v1_subset_1(B, A)) ) ) ) ) ).
fof(cc4_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ) ).
fof(cc5_finset_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_zfmisc_1(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(cc5_subset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_zfmisc_1(B)) ) ) ) ).
fof(cc5_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v3_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) ) ) ) ).
fof(cc6_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_finset_1(A)) ) ).
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(cc6_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ) ).
fof(cc7_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finset_1(B)) ) ) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_xxreal_0, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_xxreal_0(A))  =>  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc8_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_finseq_1(A)) ) ).
fof(cc8_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_finset_1(B)) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) )  =>  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ) ).
fof(cc9_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v1_finset_1(A)) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(commutativity_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k1_nat_1(B, A)) ) ).
fof(commutativity_k2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, B)=k2_xcmplx_0(B, A)) ) ).
fof(connectedness_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  =>  (r1_xxreal_0(A, B) | r1_xxreal_0(B, A)) ) ) ).
fof(d12_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) <=> r2_hidden(A, k4_ordinal1)) ) ).
fof(d1_zf_lang, axiom, k1_zf_lang=a_0_0_zf_lang).
fof(d2_zf_lang, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => k2_zf_lang(A)=k1_nat_1(5, A)) ) ).
fof(dt_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k1_nat_1(A, B), k4_ordinal1)) ) ).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zf_lang, axiom, m1_subset_1(k1_zf_lang, k1_zfmisc_1(k4_ordinal1))).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zf_lang, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => m2_subset_1(k2_zf_lang(A), k4_ordinal1, k1_zf_lang)) ) ).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_xcmplx_0, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (m2_subset_1(C, A, B) => m1_subset_1(C, A)) ) ) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(existence_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (? [C] : m2_subset_1(C, A, B)) ) ) ).
fof(fc17_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_subset_1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_zfmisc_1(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc1_zf_lang, axiom,  ~ (v1_xboole_0(k1_zf_lang)) ).
fof(fc2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(fc31_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc3_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc4_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(B, A))) ) ) ).
fof(fc4_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k6_xcmplx_0(A, B))) ) ).
fof(fc5_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k7_xcmplx_0(A, B))) ) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_xcmplx_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  =>  ( ~ (v8_ordinal1(k4_xcmplx_0(A)))  & v1_xcmplx_0(k4_xcmplx_0(A))) ) ) ).
fof(fc9_xcmplx_0, axiom,  (! [A, B] :  ( ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  &  ( ~ (v8_ordinal1(B))  & v1_xcmplx_0(B)) )  =>  ~ (v8_ordinal1(k7_xcmplx_0(A, B))) ) ) ).
fof(fraenkel_a_0_0_zf_lang, axiom,  (! [A] :  (r2_hidden(A, a_0_0_zf_lang) <=>  (? [B] :  (m1_subset_1(B, k4_ordinal1) &  (A=B & r1_xxreal_0(5, B)) ) ) ) ) ).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_finseq_1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc1_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
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_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_finset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_finset_1(B)) ) ) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_xboole_0(B)) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc3_finset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_finset_1(B)) ) ) ) ) ).
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_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_subset_1(B, A)) ) ) ) ).
fof(rc3_xcmplx_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xcmplx_0(A)) ) ).
fof(rc3_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ).
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(rc4_xcmplx_0, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A)) ) ).
fof(rc4_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ).
fof(rc5_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_finseq_1(A)) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(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(rc5_xcmplx_0, axiom,  (? [A] :  ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A)) ) ).
fof(rc5_xxreal_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc6_subset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc8_finset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_zfmisc_1(B))  & v1_finset_1(B)) ) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v5_finset_1(A)) ) ) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(redefinition_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k2_xcmplx_0(A, B)) ) ).
fof(redefinition_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (m2_subset_1(C, A, B) <=> m1_subset_1(C, 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(reflexivity_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => r1_xxreal_0(A, A)) ) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_r0, axiom, r1_xxreal_0(0, 0)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r1, axiom, r1_xxreal_0(0, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r10, axiom, r1_xxreal_0(0, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r5, axiom, r1_xxreal_0(0, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm1, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm10, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(10))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm5, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d10, axiom, r1_xxreal_0(0, k7_xcmplx_0(1, 10))).
fof(rqLessOrEqual__r1_xxreal_0__r0_rn1d5, axiom, r1_xxreal_0(0, k7_xcmplx_0(1, 5))).
fof(rqLessOrEqual__r1_xxreal_0__r10_r0, axiom,  ~ (r1_xxreal_0(10, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r1, axiom,  ~ (r1_xxreal_0(10, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r10, axiom, r1_xxreal_0(10, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r5, axiom,  ~ (r1_xxreal_0(10, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_rm1, axiom,  ~ (r1_xxreal_0(10, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_rm10, axiom,  ~ (r1_xxreal_0(10, k4_xcmplx_0(10))) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_rm5, axiom,  ~ (r1_xxreal_0(10, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_rn1d10, axiom,  ~ (r1_xxreal_0(10, k7_xcmplx_0(1, 10))) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_rn1d5, axiom,  ~ (r1_xxreal_0(10, k7_xcmplx_0(1, 5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r0, axiom,  ~ (r1_xxreal_0(1, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(1, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r10, axiom, r1_xxreal_0(1, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r5, axiom, r1_xxreal_0(1, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm1, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm10, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(10))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm5, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d10, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 10))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rn1d5, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(1, 5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rnm1d5, axiom,  ~ (r1_xxreal_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r0, axiom,  ~ (r1_xxreal_0(5, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r1, axiom,  ~ (r1_xxreal_0(5, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r10, axiom, r1_xxreal_0(5, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r5, axiom, r1_xxreal_0(5, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm1, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm10, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(10))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm5, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rn1d5, axiom,  ~ (r1_xxreal_0(5, k7_xcmplx_0(1, 5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rnm1d5, axiom,  ~ (r1_xxreal_0(5, k7_xcmplx_0(k4_xcmplx_0(1), 5))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm10_r0, axiom, r1_xxreal_0(k4_xcmplx_0(10), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm10_r1, axiom, r1_xxreal_0(k4_xcmplx_0(10), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm10_r10, axiom, r1_xxreal_0(k4_xcmplx_0(10), 10)).
fof(rqLessOrEqual__r1_xxreal_0__rm10_r5, axiom, r1_xxreal_0(k4_xcmplx_0(10), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm10_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(10), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm10_rm10, axiom, r1_xxreal_0(k4_xcmplx_0(10), k4_xcmplx_0(10))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r0, axiom, r1_xxreal_0(k4_xcmplx_0(1), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r1, axiom, r1_xxreal_0(k4_xcmplx_0(1), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r10, axiom, r1_xxreal_0(k4_xcmplx_0(1), 10)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r5, axiom, r1_xxreal_0(k4_xcmplx_0(1), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm10, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(10))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm5, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r0, axiom, r1_xxreal_0(k4_xcmplx_0(5), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r1, axiom, r1_xxreal_0(k4_xcmplx_0(5), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r10, axiom, r1_xxreal_0(k4_xcmplx_0(5), 10)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r5, axiom, r1_xxreal_0(k4_xcmplx_0(5), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm5, axiom, r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(5))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d10_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 10), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d10_r1, axiom, r1_xxreal_0(k7_xcmplx_0(1, 10), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d10_r10, axiom, r1_xxreal_0(k7_xcmplx_0(1, 10), 10)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d10_r5, axiom, r1_xxreal_0(k7_xcmplx_0(1, 10), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d10_rm1, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 10), k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d10_rn1d10, axiom, r1_xxreal_0(k7_xcmplx_0(1, 10), k7_xcmplx_0(1, 10))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d10_rn1d5, axiom, r1_xxreal_0(k7_xcmplx_0(1, 10), k7_xcmplx_0(1, 5))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d5_r0, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 5), 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d5_r1, axiom, r1_xxreal_0(k7_xcmplx_0(1, 5), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d5_r10, axiom, r1_xxreal_0(k7_xcmplx_0(1, 5), 10)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d5_r5, axiom, r1_xxreal_0(k7_xcmplx_0(1, 5), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rn1d5_rn1d10, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 5), k7_xcmplx_0(1, 10))) ).
fof(rqLessOrEqual__r1_xxreal_0__rn1d5_rn1d5, axiom, r1_xxreal_0(k7_xcmplx_0(1, 5), k7_xcmplx_0(1, 5))).
fof(rqLessOrEqual__r1_xxreal_0__rn1d5_rnm1d5, axiom,  ~ (r1_xxreal_0(k7_xcmplx_0(1, 5), k7_xcmplx_0(k4_xcmplx_0(1), 5))) ).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d5_r1, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 5), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d5_r5, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 5), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d5_rn1d5, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 5), k7_xcmplx_0(1, 5))).
fof(rqLessOrEqual__r1_xxreal_0__rnm1d5_rnm1d5, axiom, r1_xxreal_0(k7_xcmplx_0(k4_xcmplx_0(1), 5), k7_xcmplx_0(k4_xcmplx_0(1), 5))).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(0, 0)=0).
fof(rqRealAdd__k2_xcmplx_0__r0_r10_r10, axiom, k2_xcmplx_0(0, 10)=10).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(0, 1)=1).
fof(rqRealAdd__k2_xcmplx_0__r0_r5_r5, axiom, k2_xcmplx_0(0, 5)=5).
fof(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1, axiom, k2_xcmplx_0(0, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn1d10_rn1d10, axiom, k2_xcmplx_0(0, k7_xcmplx_0(1, 10))=k7_xcmplx_0(1, 10)).
fof(rqRealAdd__k2_xcmplx_0__r0_rn1d5_rn1d5, axiom, k2_xcmplx_0(0, k7_xcmplx_0(1, 5))=k7_xcmplx_0(1, 5)).
fof(rqRealAdd__k2_xcmplx_0__r10_r0_r10, axiom, k2_xcmplx_0(10, 0)=10).
fof(rqRealAdd__k2_xcmplx_0__r10_rm10_r0, axiom, k2_xcmplx_0(10, k4_xcmplx_0(10))=0).
fof(rqRealAdd__k2_xcmplx_0__r10_rm5_r5, axiom, k2_xcmplx_0(10, k4_xcmplx_0(5))=5).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
fof(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom, k2_xcmplx_0(1, k4_xcmplx_0(1))=0).
fof(rqRealAdd__k2_xcmplx_0__r5_r0_r5, axiom, k2_xcmplx_0(5, 0)=5).
fof(rqRealAdd__k2_xcmplx_0__r5_r5_r10, axiom, k2_xcmplx_0(5, 5)=10).
fof(rqRealAdd__k2_xcmplx_0__r5_rm10_rm5, axiom, k2_xcmplx_0(5, k4_xcmplx_0(10))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__r5_rm5_r0, axiom, k2_xcmplx_0(5, k4_xcmplx_0(5))=0).
fof(rqRealAdd__k2_xcmplx_0__rm10_r0_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 0)=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__rm10_r10_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 10)=0).
fof(rqRealAdd__k2_xcmplx_0__rm10_r5_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 5)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r0_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r1_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 1)=0).
fof(rqRealAdd__k2_xcmplx_0__rm5_r10_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 10)=5).
fof(rqRealAdd__k2_xcmplx_0__rm5_r5_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 5)=0).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm5_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(5))=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__rn1d10_r0_rn1d10, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 10), 0)=k7_xcmplx_0(1, 10)).
fof(rqRealAdd__k2_xcmplx_0__rn1d10_rn1d10_rn1d5, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 10), k7_xcmplx_0(1, 10))=k7_xcmplx_0(1, 5)).
fof(rqRealAdd__k2_xcmplx_0__rn1d10_rnm1d10_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 10), k7_xcmplx_0(k4_xcmplx_0(1), 10))=0).
fof(rqRealAdd__k2_xcmplx_0__rn1d5_r0_rn1d5, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 5), 0)=k7_xcmplx_0(1, 5)).
fof(rqRealAdd__k2_xcmplx_0__rn1d5_rnm1d5_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(1, 5), k7_xcmplx_0(k4_xcmplx_0(1), 5))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm1d10_rn1d10_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 10), k7_xcmplx_0(1, 10))=0).
fof(rqRealAdd__k2_xcmplx_0__rnm1d5_rn1d5_r0, axiom, k2_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 5), k7_xcmplx_0(1, 5))=0).
fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, k6_xcmplx_0(0, 0)=0).
fof(rqRealDiff__k6_xcmplx_0__r0_r10_rm10, axiom, k6_xcmplx_0(0, 10)=k4_xcmplx_0(10)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r5_rm5, axiom, k6_xcmplx_0(0, 5)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm10_r10, axiom, k6_xcmplx_0(0, k4_xcmplx_0(10))=10).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm5_r5, axiom, k6_xcmplx_0(0, k4_xcmplx_0(5))=5).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d10_rnm1d10, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 10))=k7_xcmplx_0(k4_xcmplx_0(1), 10)).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d5_rnm1d5, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 5))=k7_xcmplx_0(k4_xcmplx_0(1), 5)).
fof(rqRealDiff__k6_xcmplx_0__r10_r0_r10, axiom, k6_xcmplx_0(10, 0)=10).
fof(rqRealDiff__k6_xcmplx_0__r10_r10_r0, axiom, k6_xcmplx_0(10, 10)=0).
fof(rqRealDiff__k6_xcmplx_0__r10_r5_r5, axiom, k6_xcmplx_0(10, 5)=5).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r5_r0_r5, axiom, k6_xcmplx_0(5, 0)=5).
fof(rqRealDiff__k6_xcmplx_0__r5_r10_rm5, axiom, k6_xcmplx_0(5, 10)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__r5_r5_r0, axiom, k6_xcmplx_0(5, 5)=0).
fof(rqRealDiff__k6_xcmplx_0__r5_rm5_r10, axiom, k6_xcmplx_0(5, k4_xcmplx_0(5))=10).
fof(rqRealDiff__k6_xcmplx_0__rm10_r0_rm10, axiom, k6_xcmplx_0(k4_xcmplx_0(10), 0)=k4_xcmplx_0(10)).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm10_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(10), k4_xcmplx_0(10))=0).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm5_rm5, axiom, k6_xcmplx_0(k4_xcmplx_0(10), k4_xcmplx_0(5))=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=0).
fof(rqRealDiff__k6_xcmplx_0__rm5_r0_rm5, axiom, k6_xcmplx_0(k4_xcmplx_0(5), 0)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__rm5_r5_rm10, axiom, k6_xcmplx_0(k4_xcmplx_0(5), 5)=k4_xcmplx_0(10)).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm10_r5, axiom, k6_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(10))=5).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm5_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(5))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d10_r0_rn1d10, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 10), 0)=k7_xcmplx_0(1, 10)).
fof(rqRealDiff__k6_xcmplx_0__rn1d10_rn1d10_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 10), k7_xcmplx_0(1, 10))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d10_rn1d5_rnm1d10, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 10), k7_xcmplx_0(1, 5))=k7_xcmplx_0(k4_xcmplx_0(1), 10)).
fof(rqRealDiff__k6_xcmplx_0__rn1d10_rnm1d10_rn1d5, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 10), k7_xcmplx_0(k4_xcmplx_0(1), 10))=k7_xcmplx_0(1, 5)).
fof(rqRealDiff__k6_xcmplx_0__rn1d5_r0_rn1d5, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 5), 0)=k7_xcmplx_0(1, 5)).
fof(rqRealDiff__k6_xcmplx_0__rn1d5_rn1d10_rn1d10, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 5), k7_xcmplx_0(1, 10))=k7_xcmplx_0(1, 10)).
fof(rqRealDiff__k6_xcmplx_0__rn1d5_rn1d5_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 5), k7_xcmplx_0(1, 5))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d10_rnm1d10_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 10), k7_xcmplx_0(k4_xcmplx_0(1), 10))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d5_rnm1d10_rnm1d10, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 5), k7_xcmplx_0(k4_xcmplx_0(1), 10))=k7_xcmplx_0(k4_xcmplx_0(1), 10)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d5_rnm1d5_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 5), k7_xcmplx_0(k4_xcmplx_0(1), 5))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r10_rn1d10, axiom, k7_xcmplx_0(1, 10)=k7_xcmplx_0(1, 10)).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r5_rn1d5, axiom, k7_xcmplx_0(1, 5)=k7_xcmplx_0(1, 5)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm10_rnm1d10, axiom, k7_xcmplx_0(1, k4_xcmplx_0(10))=k7_xcmplx_0(k4_xcmplx_0(1), 10)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm1_rm1, axiom, k7_xcmplx_0(1, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm5_rnm1d5, axiom, k7_xcmplx_0(1, k4_xcmplx_0(5))=k7_xcmplx_0(k4_xcmplx_0(1), 5)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d5_rm5, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 5))=k4_xcmplx_0(5)).
fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r10_rm10, axiom, k4_xcmplx_0(10)=k4_xcmplx_0(10)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r5_rm5, axiom, k4_xcmplx_0(5)=k4_xcmplx_0(5)).
fof(rqRealNeg__k4_xcmplx_0__rm10_r10, axiom, k4_xcmplx_0(k4_xcmplx_0(10))=10).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm5_r5, axiom, k4_xcmplx_0(k4_xcmplx_0(5))=5).
fof(rqRealNeg__k4_xcmplx_0__rn1d10_rnm1d10, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 10))=k7_xcmplx_0(k4_xcmplx_0(1), 10)).
fof(rqRealNeg__k4_xcmplx_0__rn1d5_rnm1d5, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 5))=k7_xcmplx_0(k4_xcmplx_0(1), 5)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d10_rn1d10, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 10))=k7_xcmplx_0(1, 10)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d5_rn1d5, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 5))=k7_xcmplx_0(1, 5)).
fof(spc0_boole, axiom, v1_xboole_0(0)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc10_boole, axiom,  ~ (v1_xboole_0(10)) ).
fof(spc10_numerals, axiom,  (v2_xxreal_0(10) & m1_subset_1(10, k4_ordinal1)) ).
fof(spc1_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, k4_xcmplx_0(B))=k6_xcmplx_0(A, B)) ) ).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc5_boole, axiom,  ~ (v1_xboole_0(5)) ).
fof(spc5_numerals, axiom,  (v2_xxreal_0(5) & m1_subset_1(5, k4_ordinal1)) ).
fof(spc6_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k2_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(A, k2_xcmplx_0(B, C))) ) ).
fof(spc8_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k4_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(spc9_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k6_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k6_xcmplx_0(B, A)) ) ).
fof(t10_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  ~ ( (r1_xxreal_0(A, B) &  (! [C] :  (v7_ordinal1(C) =>  ~ (B=k2_xcmplx_0(A, 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_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(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
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_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_xcmplx_0(A, 1)=A) ) ).
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)) ) ) ) ) ).
