% Mizar problem: t39_euclid_3,euclid_3,423,5 
fof(t39_euclid_3, conjecture,  (! [A] :  (m1_subset_1(A, k2_numbers) =>  (! [B] :  (m1_subset_1(B, k2_numbers) => k3_complex1(k1_complex2(A, B))=k3_real_1(k4_real_1(k3_complex1(A), k3_complex1(B)), k4_real_1(k4_complex1(A), k4_complex1(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(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
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_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_xcmplx_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xcmplx_0(A)) ) ).
fof(cc1_xreal_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xreal_0(A)) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_xcmplx_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xcmplx_0(A)) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc2_xxreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xxreal_0(A)) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_xcmplx_0, axiom,  (! [A] :  (m1_subset_1(A, k2_numbers) => v1_xcmplx_0(A)) ) ).
fof(cc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(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_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(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_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(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_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_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_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_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(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(commutativity_k3_real_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => k3_real_1(A, B)=k3_real_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_real_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => k4_real_1(A, B)=k4_real_1(B, A)) ) ).
fof(d2_xboole_0, axiom, k1_xboole_0=o_0_0_xboole_0).
fof(dt_k1_complex1, axiom, $true).
fof(dt_k1_complex2, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => m1_subset_1(k1_complex2(A, B), k2_numbers)) ) ).
fof(dt_k1_numbers, axiom, $true).
fof(dt_k1_real_1, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => m1_subset_1(k1_real_1(A), k1_numbers)) ) ).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_xcmplx_0, axiom, $true).
fof(dt_k2_complex1, axiom, $true).
fof(dt_k2_numbers, axiom, $true).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k3_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => m1_subset_1(k3_complex1(A), k1_numbers)) ) ).
fof(dt_k3_real_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => m1_subset_1(k3_real_1(A, B), k1_numbers)) ) ).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k4_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => m1_subset_1(k4_complex1(A), k1_numbers)) ) ).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_real_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => m1_subset_1(k4_real_1(A, B), k1_numbers)) ) ).
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_complex1, axiom, m1_subset_1(k7_complex1, k2_numbers)).
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(fc10_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fc11_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc12_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc13_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc14_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc15_xreal_0, axiom,  (! [A] :  ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v3_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc16_xreal_0, axiom,  (! [A] :  ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v2_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc17_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k6_xcmplx_0(A, B))) ) ) ).
fof(fc18_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k6_xcmplx_0(B, A))) ) ) ).
fof(fc19_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc1_numbers, axiom,  ~ (v1_xboole_0(k1_numbers)) ).
fof(fc1_xcmplx_0, axiom, v1_xcmplx_0(k1_xcmplx_0)).
fof(fc20_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k6_xcmplx_0(B, A))) ) ).
fof(fc21_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc22_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k6_xcmplx_0(B, A))) ) ).
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(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(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(fc2_numbers, axiom,  ~ (v1_xboole_0(k2_numbers)) ).
fof(fc2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => v1_xcmplx_0(k2_xcmplx_0(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(fc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(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_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_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(fc6_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k3_xcmplx_0(A, B))) ) ).
fof(fc7_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc8_numbers, axiom,  ~ (v1_finset_1(k1_numbers)) ).
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(fc9_numbers, axiom,  ~ (v1_finset_1(k2_numbers)) ).
fof(fc9_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(involutiveness_k1_real_1, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => k1_real_1(k1_real_1(A))=A) ) ).
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_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(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(rc3_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_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(rc4_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v3_xxreal_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(rc5_xxreal_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xxreal_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_k1_real_1, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => k1_real_1(A)=k4_xcmplx_0(A)) ) ).
fof(redefinition_k3_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_complex1(A)=k1_complex1(A)) ) ).
fof(redefinition_k3_real_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => k3_real_1(A, B)=k2_xcmplx_0(A, B)) ) ).
fof(redefinition_k4_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_complex1(A)=k2_complex1(A)) ) ).
fof(redefinition_k4_real_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k1_numbers) & m1_subset_1(B, k1_numbers))  => k4_real_1(A, B)=k3_xcmplx_0(A, B)) ) ).
fof(redefinition_k7_complex1, axiom, k7_complex1=k1_xcmplx_0).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_cr1r0_cr2r0, axiom, k2_xcmplx_0(k1_xcmplx_0, k1_xcmplx_0)=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_crm1r0_r0, axiom, k2_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=0).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_crm2r0_crm1r0, axiom, k2_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_r0_cr1r0, axiom, k2_xcmplx_0(k1_xcmplx_0, 0)=k1_xcmplx_0).
fof(rqRealAdd__k2_xcmplx_0__cr1r0_r1_cr1r1, axiom, k2_xcmplx_0(k1_xcmplx_0, 1)=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealAdd__k2_xcmplx_0__cr2r0_crm1r0_cr1r0, axiom, k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k1_xcmplx_0).
fof(rqRealAdd__k2_xcmplx_0__cr2r0_crm2r0_r0, axiom, k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=0).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_cr1r0_r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k1_xcmplx_0)=0).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_cr2r0_cr1r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(2, k1_xcmplx_0))=k1_xcmplx_0).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_crm1r0_crm2r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_r0_crm1r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 0)=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__crm1r0_r1_crm1r1, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealAdd__k2_xcmplx_0__crm2r0_cr1r0_crm1r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k1_xcmplx_0)=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__crm2r0_cr2r0_r0, axiom, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k3_xcmplx_0(2, k1_xcmplx_0))=0).
fof(rqRealAdd__k2_xcmplx_0__r0_cr1r0_cr1r0, axiom, k2_xcmplx_0(0, k1_xcmplx_0)=k1_xcmplx_0).
fof(rqRealAdd__k2_xcmplx_0__r0_crm1r0_crm1r0, axiom, k2_xcmplx_0(0, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(0, 0)=0).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(0, 1)=1).
fof(rqRealAdd__k2_xcmplx_0__r0_r2_r2, axiom, k2_xcmplx_0(0, 2)=2).
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_rm2_rm2, axiom, k2_xcmplx_0(0, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r1_cr1r0_cr1r1, axiom, k2_xcmplx_0(1, k1_xcmplx_0)=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealAdd__k2_xcmplx_0__r1_crm1r0_crm1r1, axiom, k2_xcmplx_0(1, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(1, 1)=2).
fof(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom, k2_xcmplx_0(1, k4_xcmplx_0(1))=0).
fof(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1, axiom, k2_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom, k2_xcmplx_0(2, 0)=2).
fof(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(1))=1).
fof(rqRealAdd__k2_xcmplx_0__r2_rm2_r0, axiom, k2_xcmplx_0(2, k4_xcmplx_0(2))=0).
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__rm1_r2_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 2)=1).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r0_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r2_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 2)=0).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr1r0_r0, axiom, k6_xcmplx_0(k1_xcmplx_0, k1_xcmplx_0)=0).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr1r1_rm1, axiom, k6_xcmplx_0(k1_xcmplx_0, k2_xcmplx_0(k1_xcmplx_0, 1))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr1rm1_r1, axiom, k6_xcmplx_0(k1_xcmplx_0, k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)))=1).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_cr2r0_crm1r0, axiom, k6_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(2, k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_crm1r0_cr2r0, axiom, k6_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r0_cr1r0, axiom, k6_xcmplx_0(k1_xcmplx_0, 0)=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r1_cr1rm1, axiom, k6_xcmplx_0(k1_xcmplx_0, 1)=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_r2_cr1rm2, axiom, k6_xcmplx_0(k1_xcmplx_0, 2)=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(2))).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_rm1_cr1r1, axiom, k6_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealDiff__k6_xcmplx_0__cr1r0_rm2_cr1r2, axiom, k6_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(2))=k2_xcmplx_0(k1_xcmplx_0, 2)).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_cr1r0_r1, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), k1_xcmplx_0)=1).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_cr1r1_r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), k2_xcmplx_0(k1_xcmplx_0, 1))=0).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_crm1r0_cr2r1, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_r0_cr1r1, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), 0)=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_r1_cr1r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), 1)=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__cr1r1_rm1_cr1r2, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), k4_xcmplx_0(1))=k2_xcmplx_0(k1_xcmplx_0, 2)).
fof(rqRealDiff__k6_xcmplx_0__cr1r2_cr1r0_r2, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 2), k1_xcmplx_0)=2).
fof(rqRealDiff__k6_xcmplx_0__cr1r2_cr1r2_r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 2), k2_xcmplx_0(k1_xcmplx_0, 2))=0).
fof(rqRealDiff__k6_xcmplx_0__cr1rm1_cr1r0_rm1, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k1_xcmplx_0)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__cr1rm1_cr1rm1_r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)))=0).
fof(rqRealDiff__k6_xcmplx_0__cr1rm1_crm1r0_cr2rm1, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__cr1rm1_rm1_cr1r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k4_xcmplx_0(1))=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__cr1rm2_cr1r0_rm2, axiom, k6_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(2)), k1_xcmplx_0)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_cr1r0_cr1r0, axiom, k6_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k1_xcmplx_0)=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_cr2r0_r0, axiom, k6_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k3_xcmplx_0(2, k1_xcmplx_0))=0).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_cr2rm2_r2, axiom, k6_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2)))=2).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_r1_cr2rm1, axiom, k6_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 1)=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_r2_cr2rm2, axiom, k6_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 2)=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealDiff__k6_xcmplx_0__cr2r0_rm2_cr2r2, axiom, k6_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 2)).
fof(rqRealDiff__k6_xcmplx_0__cr2rm1_cr2rm1_r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(1)), k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(1)))=0).
fof(rqRealDiff__k6_xcmplx_0__cr2rm2_cr2r0_rm2, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2)), k3_xcmplx_0(2, k1_xcmplx_0))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__cr2rm2_cr2rm2_r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2)), k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2)))=0).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_cr1r0_crm2r0, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k1_xcmplx_0)=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crm1r0_r0, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=0).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crm1r1_rm1, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_crm2r0_cr1r0, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_r0_crm1r0, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 0)=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_r1_crm1rm1, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_r2_crm1rm2, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_rm1_crm1r1, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__crm1r0_rm2_crm1r2, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(2))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2)).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_cr1r0_crm2r1, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_cr1r1_crm2r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k2_xcmplx_0(k1_xcmplx_0, 1))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_crm1r0_r1, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=1).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_crm1r1_r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1))=0).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_r0_crm1r1, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), 0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_r1_crm1r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), 1)=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm1r1_rm1_crm1r2, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k4_xcmplx_0(1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2)).
fof(rqRealDiff__k6_xcmplx_0__crm1r2_crm1r0_r2, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=2).
fof(rqRealDiff__k6_xcmplx_0__crm1r2_crm1r2_r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2), k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2))=0).
fof(rqRealDiff__k6_xcmplx_0__crm1rm1_cr1r0_crm2rm1, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__crm1rm1_crm1r0_rm1, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__crm1rm1_crm1rm1_r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)))=0).
fof(rqRealDiff__k6_xcmplx_0__crm1rm1_rm1_crm1r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k4_xcmplx_0(1))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm1rm1_rm2_crm1r1, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k4_xcmplx_0(2))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__crm2r0_crm1r0_crm1r0, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__crm2r0_crm2r0_r0, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=0).
fof(rqRealDiff__k6_xcmplx_0__crm2r0_rm1_crm2r1, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__crm2r0_rm2_crm2r2, axiom, k6_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(2))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2)).
fof(rqRealDiff__k6_xcmplx_0__crm2r1_crm2r1_r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1), k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1))=0).
fof(rqRealDiff__k6_xcmplx_0__crm2r1_rm1_crm2r2, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1), k4_xcmplx_0(1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2)).
fof(rqRealDiff__k6_xcmplx_0__crm2r2_crm2r2_r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2), k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2))=0).
fof(rqRealDiff__k6_xcmplx_0__crm2rm1_rm1_crm2r0, axiom, k6_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(1)), k4_xcmplx_0(1))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__r0_cr1r0_crm1r0, axiom, k6_xcmplx_0(0, k1_xcmplx_0)=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__r0_crm1r0_cr1r0, axiom, k6_xcmplx_0(0, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, k6_xcmplx_0(0, 0)=0).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom, k6_xcmplx_0(0, k4_xcmplx_0(2))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_cr1r0_crm1r1, axiom, k6_xcmplx_0(1, k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__r1_cr1r1_crm1r0, axiom, k6_xcmplx_0(1, k2_xcmplx_0(k1_xcmplx_0, 1))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__r1_cr2r0_crm2r1, axiom, k6_xcmplx_0(1, k3_xcmplx_0(2, k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__r1_cr2r1_crm2r0, axiom, k6_xcmplx_0(1, k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 1))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__r1_crm1r0_cr1r1, axiom, k6_xcmplx_0(1, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealDiff__k6_xcmplx_0__r1_crm1r1_cr1r0, axiom, k6_xcmplx_0(1, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1))=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__r1_crm2r0_cr2r1, axiom, k6_xcmplx_0(1, k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 1)).
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__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r2_cr1r0_crm1r2, axiom, k6_xcmplx_0(2, k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2)).
fof(rqRealDiff__k6_xcmplx_0__r2_cr1r1_crm1r1, axiom, k6_xcmplx_0(2, k2_xcmplx_0(k1_xcmplx_0, 1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealDiff__k6_xcmplx_0__r2_cr2r0_crm2r2, axiom, k6_xcmplx_0(2, k3_xcmplx_0(2, k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2)).
fof(rqRealDiff__k6_xcmplx_0__r2_crm1r0_cr1r2, axiom, k6_xcmplx_0(2, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k1_xcmplx_0, 2)).
fof(rqRealDiff__k6_xcmplx_0__r2_crm1r1_cr1r1, axiom, k6_xcmplx_0(2, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealDiff__k6_xcmplx_0__r2_crm2r0_cr2r2, axiom, k6_xcmplx_0(2, k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 2)).
fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom, k6_xcmplx_0(2, 0)=2).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(2, 1)=1).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__rm1_cr1r0_crm1rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__rm1_cr1rm1_crm1r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__rm1_cr2r0_crm2rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k3_xcmplx_0(2, k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__rm1_cr2rm1_crm2r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(1)))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealDiff__k6_xcmplx_0__rm1_crm1r0_cr1rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))).
fof(rqRealDiff__k6_xcmplx_0__rm1_crm1rm1_cr1r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)))=k1_xcmplx_0).
fof(rqRealDiff__k6_xcmplx_0__rm1_crm2r0_cr2rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(1))).
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_r1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(2)).
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__rm1_rm2_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=1).
fof(rqRealDiff__k6_xcmplx_0__rm2_cr1r0_crm1rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealDiff__k6_xcmplx_0__rm2_cr2r0_crm2rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k3_xcmplx_0(2, k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealDiff__k6_xcmplx_0__rm2_crm1r0_cr1rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(2))).
fof(rqRealDiff__k6_xcmplx_0__rm2_crm2r0_cr2rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=0).
fof(rqRealMult__k3_xcmplx_0__cr1r0_cr1r0_rm1, axiom, k3_xcmplx_0(k1_xcmplx_0, k1_xcmplx_0)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__cr1r0_cr2r0_rm2, axiom, k3_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(2, k1_xcmplx_0))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__cr1r0_crm1r0_r1, axiom, k3_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=1).
fof(rqRealMult__k3_xcmplx_0__cr1r0_crm1r1_cr1r1, axiom, k3_xcmplx_0(k1_xcmplx_0, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealMult__k3_xcmplx_0__cr1r0_crm2r0_r2, axiom, k3_xcmplx_0(k1_xcmplx_0, k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=2).
fof(rqRealMult__k3_xcmplx_0__cr1r0_r0_r0, axiom, k3_xcmplx_0(k1_xcmplx_0, 0)=0).
fof(rqRealMult__k3_xcmplx_0__cr1r0_r1_cr1r0, axiom, k3_xcmplx_0(k1_xcmplx_0, 1)=k1_xcmplx_0).
fof(rqRealMult__k3_xcmplx_0__cr1r0_r2_cr2r0, axiom, k3_xcmplx_0(k1_xcmplx_0, 2)=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__cr1r0_rm2_crm2r0, axiom, k3_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(2))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__cr1r1_cr1r0_cr1rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), k1_xcmplx_0)=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__cr1r1_crm1r0_crm1r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealMult__k3_xcmplx_0__cr1r1_r1_cr1r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1), 1)=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealMult__k3_xcmplx_0__cr1r2_cr1r0_cr2rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 2), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__cr1r2_crm1r0_crm2r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 2), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1)).
fof(rqRealMult__k3_xcmplx_0__cr1r2_r1_cr1r2, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 2), 1)=k2_xcmplx_0(k1_xcmplx_0, 2)).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_cr1r0_crm1rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_cr2r0_crm2rm2, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k3_xcmplx_0(2, k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_crm1r0_cr1r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_crm2r0_cr2r2, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 2)).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_r1_cr1rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), 1)=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_r2_cr2rm2, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), 2)=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealMult__k3_xcmplx_0__cr1rm1_rm2_crm2r2, axiom, k3_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)), k4_xcmplx_0(2))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2)).
fof(rqRealMult__k3_xcmplx_0__cr2r0_cr1r0_rm2, axiom, k3_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k1_xcmplx_0)=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__cr2r0_r1_cr2r0, axiom, k3_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 1)=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__cr2rm1_r1_cr2rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(1)), 1)=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__cr2rm2_r1_cr2rm2, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2)), 1)=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealMult__k3_xcmplx_0__crm1r0_cr1r0_r1, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k1_xcmplx_0)=1).
fof(rqRealMult__k3_xcmplx_0__crm1r0_cr2r0_r2, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(2, k1_xcmplx_0))=2).
fof(rqRealMult__k3_xcmplx_0__crm1r0_crm1r0_rm1, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__crm1r0_crm2r0_rm2, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__crm1r0_r1_crm1r0, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__crm1r0_r2_crm2r0, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2)=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__crm1r0_rm2_cr2r0, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(2))=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__crm1r1_cr1r0_cr1r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k1_xcmplx_0)=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealMult__k3_xcmplx_0__crm1r1_cr2r0_cr2r2, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k3_xcmplx_0(2, k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 2)).
fof(rqRealMult__k3_xcmplx_0__crm1r1_crm1r0_crm1rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__crm1r1_r1_crm1r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), 1)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealMult__k3_xcmplx_0__crm1r1_r2_crm2r2, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), 2)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2)).
fof(rqRealMult__k3_xcmplx_0__crm1r1_rm2_cr2rm2, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1), k4_xcmplx_0(2))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealMult__k3_xcmplx_0__crm1r2_cr1r0_cr2r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 1)).
fof(rqRealMult__k3_xcmplx_0__crm1r2_crm1r0_crm2rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__crm1r2_r1_crm1r2, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2), 1)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2)).
fof(rqRealMult__k3_xcmplx_0__crm1rm1_cr1r0_crm1r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k1_xcmplx_0)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealMult__k3_xcmplx_0__crm1rm1_crm1r0_cr1rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__crm1rm1_r1_crm1rm1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)), 1)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealMult__k3_xcmplx_0__crm2r0_cr1r0_r2, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k1_xcmplx_0)=2).
fof(rqRealMult__k3_xcmplx_0__crm2r0_crm1r0_rm2, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__crm2r0_r1_crm2r0, axiom, k3_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1)=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__crm2r1_r1_crm2r1, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1), 1)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1)).
fof(rqRealMult__k3_xcmplx_0__crm2r2_r1_crm2r2, axiom, k3_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2), 1)=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2)).
fof(rqRealMult__k3_xcmplx_0__r0_cr1r0_r0, axiom, k3_xcmplx_0(0, k1_xcmplx_0)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(0, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r2_r0, axiom, k3_xcmplx_0(0, 2)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rm2_r0, axiom, k3_xcmplx_0(0, k4_xcmplx_0(2))=0).
fof(rqRealMult__k3_xcmplx_0__r1_cr1r0_cr1r0, axiom, k3_xcmplx_0(1, k1_xcmplx_0)=k1_xcmplx_0).
fof(rqRealMult__k3_xcmplx_0__r1_cr1r1_cr1r1, axiom, k3_xcmplx_0(1, k2_xcmplx_0(k1_xcmplx_0, 1))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealMult__k3_xcmplx_0__r1_cr2r0_cr2r0, axiom, k3_xcmplx_0(1, k3_xcmplx_0(2, k1_xcmplx_0))=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__r1_crm1r0_crm1r0, axiom, k3_xcmplx_0(1, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__r1_crm1r1_crm1r1, axiom, k3_xcmplx_0(1, k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealMult__k3_xcmplx_0__r1_crm2r0_crm2r0, axiom, k3_xcmplx_0(1, k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_rm2_rm2, axiom, k3_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__r2_cr1r0_cr2r0, axiom, k3_xcmplx_0(2, k1_xcmplx_0)=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__r2_crm1r0_crm2r0, axiom, k3_xcmplx_0(2, k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom, k3_xcmplx_0(2, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__rm2_cr1r0_crm2r0, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__rm2_crm1r0_cr2r0, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealMult__k3_xcmplx_0__rm2_r0_r0, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rm2_r1_rm2, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__cr1r0_crm1r0, axiom, k4_xcmplx_0(k1_xcmplx_0)=k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0)).
fof(rqRealNeg__k4_xcmplx_0__cr1r1_crm1rm1, axiom, k4_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealNeg__k4_xcmplx_0__cr1r2_crm1rm2, axiom, k4_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, 2))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealNeg__k4_xcmplx_0__cr1rm1_crm1r1, axiom, k4_xcmplx_0(k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1)))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1)).
fof(rqRealNeg__k4_xcmplx_0__cr2r0_crm2r0, axiom, k4_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0))=k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0)).
fof(rqRealNeg__k4_xcmplx_0__cr2r1_crm2rm1, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 1))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealNeg__k4_xcmplx_0__cr2r2_crm2rm2, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 2))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealNeg__k4_xcmplx_0__cr2rm2_crm2r2, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2)))=k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2)).
fof(rqRealNeg__k4_xcmplx_0__crm1r0_cr1r0, axiom, k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0))=k1_xcmplx_0).
fof(rqRealNeg__k4_xcmplx_0__crm1r1_cr1rm1, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 1))=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(1))).
fof(rqRealNeg__k4_xcmplx_0__crm1r2_cr1rm2, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), 2))=k2_xcmplx_0(k1_xcmplx_0, k4_xcmplx_0(2))).
fof(rqRealNeg__k4_xcmplx_0__crm1rm1_cr1r1, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(1)))=k2_xcmplx_0(k1_xcmplx_0, 1)).
fof(rqRealNeg__k4_xcmplx_0__crm1rm2_cr1r2, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(1), k1_xcmplx_0), k4_xcmplx_0(2)))=k2_xcmplx_0(k1_xcmplx_0, 2)).
fof(rqRealNeg__k4_xcmplx_0__crm2r0_cr2r0, axiom, k4_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0))=k3_xcmplx_0(2, k1_xcmplx_0)).
fof(rqRealNeg__k4_xcmplx_0__crm2r1_cr2rm1, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 1))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(1))).
fof(rqRealNeg__k4_xcmplx_0__crm2r2_cr2rm2, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), 2))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), k4_xcmplx_0(2))).
fof(rqRealNeg__k4_xcmplx_0__crm2rm1_cr2r1, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(1)))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 1)).
fof(rqRealNeg__k4_xcmplx_0__crm2rm2_cr2r2, axiom, k4_xcmplx_0(k2_xcmplx_0(k3_xcmplx_0(k4_xcmplx_0(2), k1_xcmplx_0), k4_xcmplx_0(2)))=k2_xcmplx_0(k3_xcmplx_0(2, k1_xcmplx_0), 2)).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(spc0_boole, axiom, v1_xboole_0(0)).
fof(spc0_numerals, axiom, m1_subset_1(0, 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(spc2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k4_xcmplx_0(1))=k4_xcmplx_0(A)) ) ).
fof(spc2_boole, axiom,  ~ (v1_xboole_0(2)) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc5_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(k3_xcmplx_0(A, C), k3_xcmplx_0(B, C))) ) ).
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(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(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(t12_complex1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (k3_complex1(k2_xcmplx_0(A, k3_xcmplx_0(B, k7_complex1)))=A & k4_complex1(k2_xcmplx_0(A, k3_xcmplx_0(B, k7_complex1)))=B) ) ) ) ) ).
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(t29_complex2, axiom,  (! [A] :  (v1_xcmplx_0(A) =>  (! [B] :  (v1_xcmplx_0(B) => k1_complex2(A, B)=k2_xcmplx_0(k3_real_1(k4_real_1(k3_complex1(A), k3_complex1(B)), k4_real_1(k4_complex1(A), k4_complex1(B))), k3_xcmplx_0(k3_real_1(k1_real_1(k4_real_1(k3_complex1(A), k4_complex1(B))), k4_real_1(k4_complex1(A), k3_complex1(B))), k7_complex1))) ) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=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)) ) ) ) ) ).
