% Mizar problem: t4_csspace2,csspace2,1348,60 
fof(t4_csspace2, conjecture,  (! [A] :  (! [B] : r1_xxreal_0(k8_real_1(np__2, k17_complex1(k3_xcmplx_0(A, B))), k7_real_1(k5_square_1(k17_complex1(A)), k5_square_1(k17_complex1(B))))) ) ).
fof(fc1_valued_1, axiom,  (! [A] :  (v1_xreal_0(k16_complex1(A)) & v1_rat_1(k16_complex1(A))) ) ).
fof(cc15_membered, axiom,  (! [A] :  (! [B] :  ($true => v1_rat_1(B)) ) ) ).
fof(cc22_membered, axiom,  (! [A] :  (! [B] :  ($true => v4_membered(B)) ) ) ).
fof(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(A)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(cc12_membered, axiom,  (! [A] :  (! [B] :  ($true => v1_xcmplx_0(B)) ) ) ).
fof(cc13_membered, axiom,  (! [A] :  (! [B] :  ($true => v1_xxreal_0(B)) ) ) ).
fof(cc16_membered, axiom,  (! [A] :  (! [B] :  ($true => v1_int_1(B)) ) ) ).
fof(cc19_membered, axiom,  (! [A] :  (! [B] :  ($true => v1_membered(B)) ) ) ).
fof(cc20_membered, axiom,  (! [A] :  (! [B] :  ($true => v2_membered(B)) ) ) ).
fof(cc23_membered, axiom,  (! [A] :  (! [B] :  ($true => v5_membered(B)) ) ) ).
fof(cc2_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_subset_1, axiom,  (! [A] :  (! [B] :  ( ~ (v1_subset_1(B, A))  =>  ~ (v1_xboole_0(B)) ) ) ) ).
fof(rc2_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_subset_1, axiom,  (! [A] :  (? [B] :  ~ (v1_subset_1(B, A)) ) ) ).
fof(rc4_subset_1, axiom,  (! [A] :  (? [B] : v1_subset_1(B, A)) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom,  (! [A] : $true) ).
fof(dt_k4_ordinal1, axiom, $true).
fof(cc10_ordinal1, axiom,  (! [A] :  (! [B] :  ($true => v6_ordinal1(B)) ) ) ).
fof(cc11_membered, axiom,  (! [A] :  ($true => v6_membered(A)) ) ).
fof(cc14_membered, axiom,  (! [A] :  (! [B] :  ($true => v1_xreal_0(B)) ) ) ).
fof(cc17_membered, axiom,  (! [A] :  (! [B] :  ($true => v7_ordinal1(B)) ) ) ).
fof(cc1_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(A)) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_subset_1, axiom,  (! [A] :  (! [B] :  ($true => v1_xboole_0(B)) ) ) ).
fof(cc21_membered, axiom,  (! [A] :  (! [B] :  ($true => v3_membered(B)) ) ) ).
fof(cc24_membered, axiom,  (! [A] :  (! [B] :  ($true => v6_membered(B)) ) ) ).
fof(cc2_xcmplx_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xcmplx_0(A)) ) ).
fof(cc2_xxreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xxreal_0(A)) ) ).
fof(cc3_subset_1, axiom,  (! [A] :  (! [B] :  (v1_xboole_0(B) => v1_subset_1(B, A)) ) ) ).
fof(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(A)) ) ).
fof(cc4_subset_1, axiom,  (! [A] :  (! [B] :  ($true =>  ~ (v1_subset_1(B, A)) ) ) ) ).
fof(cc4_xxreal_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ) ).
fof(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (! [B] :  ($true => v3_ordinal1(B)) ) ) ).
fof(cc5_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v3_xxreal_0(A))  =>  ( ~ (v1_xboole_0(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) ) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc8_membered, axiom,  (! [A] :  ($true => v3_membered(A)) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  ($true => v7_ordinal1(A)) ) ).
fof(cc8_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) )  =>  (v1_xboole_0(A) & v1_xxreal_0(A)) ) ) ).
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(fc59_membered, axiom, v7_membered(k4_ordinal1)).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1)).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(rc1_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc1_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc1_subset_1, axiom,  (! [A] :  (? [B] :  ~ (v1_xboole_0(B)) ) ) ).
fof(rc2_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v6_membered(A)) ) ).
fof(rc2_subset_1, axiom,  (! [A] :  (? [B] : v1_xboole_0(B)) ) ).
fof(rc3_membered, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v6_membered(A) & v7_membered(A)) ) ) ).
fof(rc3_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ).
fof(rc4_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_hidden(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t2_real, axiom,  (! [A] :  (! [B] :  ( (r1_xxreal_0(A, B) & v3_xxreal_0(B))  => v3_xxreal_0(A)) ) ) ).
fof(t3_real, axiom,  (! [A] :  (! [B] :  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v3_xxreal_0(A))  & v3_xxreal_0(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_hidden(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t5_real, axiom,  (! [A] :  (! [B] :  (r1_xxreal_0(A, B) =>  (v1_xboole_0(B) |  (v3_xxreal_0(A) | v2_xxreal_0(B)) ) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_hidden(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t6_real, axiom,  (! [A] :  (! [B] :  (r1_xxreal_0(A, B) =>  (v1_xboole_0(A) |  (v2_xxreal_0(B) | v3_xxreal_0(A)) ) ) ) ) ).
fof(t7_real, axiom,  (! [A] :  (! [B] :  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(B)) ) ) ) ) ) ).
fof(t8_real, axiom,  (! [A] :  (! [B] :  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v3_xxreal_0(B))  &  ~ (v2_xxreal_0(A)) ) ) ) ) ) ).
fof(projectivity_k16_complex1, axiom,  (! [A] : k16_complex1(k16_complex1(A))=k16_complex1(A)) ).
fof(commutativity_k2_xcmplx_0, axiom,  (! [A, B] : k2_xcmplx_0(A, B)=k2_xcmplx_0(B, A)) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(existence_m2_subset_1, axiom,  (! [A, B] :  (? [C] : m2_subset_1(C, A, B)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k4_ordinal1).
fof(redefinition_m2_subset_1, axiom,  (! [A, B] :  (! [C] :  (m2_subset_1(C, A, B) <=> m1_subset_1(C, B)) ) ) ).
fof(dt_k16_complex1, axiom,  (! [A] : v1_xreal_0(k16_complex1(A))) ).
fof(dt_k1_numbers, axiom, $true).
fof(dt_k2_xcmplx_0, axiom,  (! [A, B] : $true) ).
fof(dt_k3_square_1, axiom,  (! [A] : $true) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k1_zfmisc_1(k1_numbers))).
fof(dt_m1_subset_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, A) => $true) ) ) ).
fof(dt_m2_subset_1, axiom,  (! [A, B] :  (! [C] :  (m2_subset_1(C, A, B) => m1_subset_1(C, A)) ) ) ).
fof(cc18_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v6_membered(A)) ) ).
fof(cc1_xcmplx_0, axiom,  (! [A] :  ($true => v1_xcmplx_0(A)) ) ).
fof(cc25_membered, axiom,  (! [A] :  ($true => v6_membered(A)) ) ).
fof(cc26_membered, axiom,  (! [A] :  (v1_xboole_0(A) => v7_membered(A)) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v2_xxreal_0(A))  =>  ( ~ (v1_xboole_0(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(A)) ) ).
fof(cc6_xxreal_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(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] :  ( (v1_xboole_0(A) & v1_xxreal_0(A))  =>  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(fc1_numbers, axiom,  ~ (v1_xboole_0(k1_numbers)) ).
fof(fc2_xcmplx_0, axiom,  (! [A, B] : v1_xcmplx_0(k2_xcmplx_0(A, B))) ).
fof(fc3_membered, axiom, v3_membered(k1_numbers)).
fof(fc56_membered, axiom, v7_membered(k1_numbers)).
fof(fc6_xcmplx_0, axiom,  (! [A] :  ( ~ (v1_xboole_0(k4_xcmplx_0(A)))  & v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
fof(fc8_numbers, axiom,  ~ (v1_finset_1(k1_numbers)) ).
fof(fc8_xcmplx_0, axiom,  (! [A, B] :  ~ (v1_xboole_0(k3_xcmplx_0(A, B))) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xcmplx_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_xcmplx_0(A)) ) ).
fof(rc2_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ).
fof(rc4_xxreal_0, axiom,  (? [A] :  (v1_xboole_0(A) & v1_xxreal_0(A)) ) ).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(np__0, np__0)=np__0).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(np__0, np__1)=np__1).
fof(rqRealAdd__k2_xcmplx_0__r0_r2_r2, axiom, k2_xcmplx_0(np__0, np__2)=np__2).
fof(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1, axiom, k2_xcmplx_0(np__0, k4_xcmplx_0(np__1))=k4_xcmplx_0(np__1)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm2_rm2, axiom, k2_xcmplx_0(np__0, k4_xcmplx_0(np__2))=k4_xcmplx_0(np__2)).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(np__1, np__0)=np__1).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(np__1, np__1)=np__2).
fof(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom, k2_xcmplx_0(np__1, k4_xcmplx_0(np__1))=np__0).
fof(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1, axiom, k2_xcmplx_0(np__1, k4_xcmplx_0(np__2))=k4_xcmplx_0(np__1)).
fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom, k2_xcmplx_0(np__2, np__0)=np__2).
fof(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom, k2_xcmplx_0(np__2, k4_xcmplx_0(np__1))=np__1).
fof(rqRealAdd__k2_xcmplx_0__r2_rm2_r0, axiom, k2_xcmplx_0(np__2, k4_xcmplx_0(np__2))=np__0).
fof(rqRealAdd__k2_xcmplx_0__rm1_r0_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(np__1), np__0)=k4_xcmplx_0(np__1)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r1_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(np__1), np__1)=np__0).
fof(rqRealAdd__k2_xcmplx_0__rm1_r2_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(np__1), np__2)=np__1).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(np__1), k4_xcmplx_0(np__1))=k4_xcmplx_0(np__2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(np__2), np__1)=k4_xcmplx_0(np__1)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r2_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(np__2), np__2)=np__0).
fof(spc1_arithm, axiom,  (! [A, B] : k2_xcmplx_0(A, k4_xcmplx_0(B))=k6_xcmplx_0(A, B)) ).
fof(spc5_arithm, axiom,  (! [A, B, 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] : k2_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(A, k2_xcmplx_0(B, C))) ).
fof(spc8_arithm, axiom,  (! [A, B] : k2_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k4_xcmplx_0(k2_xcmplx_0(A, B))) ).
fof(t1_real, axiom,  (! [A] :  (! [B] :  ( (r1_xxreal_0(A, B) & v2_xxreal_0(A))  => v2_xxreal_0(B)) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_hidden(A, B)) ) ) ) ).
fof(t4_real, axiom,  (! [A] :  (! [B] :  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v2_xxreal_0(B))  & v2_xxreal_0(A)) ) ) ) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_hidden(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(d1_square_1, axiom,  (! [A] : k3_square_1(A)=k3_xcmplx_0(A, A)) ).
fof(projectivity_k17_complex1, axiom,  (! [A] : k17_complex1(k17_complex1(A))=k17_complex1(A)) ).
fof(commutativity_k3_xcmplx_0, axiom,  (! [A, B] : k3_xcmplx_0(A, B)=k3_xcmplx_0(B, A)) ).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] : k4_xcmplx_0(k4_xcmplx_0(A))=A) ).
fof(commutativity_k7_real_1, axiom,  (! [A, B] : k7_real_1(A, B)=k7_real_1(B, A)) ).
fof(commutativity_k8_real_1, axiom,  (! [A, B] : k8_real_1(A, B)=k8_real_1(B, A)) ).
fof(reflexivity_r1_xxreal_0, axiom,  (! [A, B] : r1_xxreal_0(A, A)) ).
fof(connectedness_r1_xxreal_0, axiom,  (! [A, B] :  (r1_xxreal_0(A, B) | r1_xxreal_0(B, A)) ) ).
fof(redefinition_k17_complex1, axiom,  (! [A] : k17_complex1(A)=k16_complex1(A)) ).
fof(redefinition_k5_square_1, axiom,  (! [A] : k5_square_1(A)=k3_square_1(A)) ).
fof(redefinition_k7_real_1, axiom,  (! [A, B] : k7_real_1(A, B)=k2_xcmplx_0(A, B)) ).
fof(redefinition_k8_real_1, axiom,  (! [A, B] : k8_real_1(A, B)=k3_xcmplx_0(A, B)) ).
fof(dt_k17_complex1, axiom,  (! [A] : m1_subset_1(k17_complex1(A), k1_numbers)) ).
fof(dt_k3_xcmplx_0, axiom,  (! [A, B] : $true) ).
fof(dt_k4_xcmplx_0, axiom,  (! [A] : v1_xcmplx_0(k4_xcmplx_0(A))) ).
fof(dt_k5_square_1, axiom,  (! [A] : m1_subset_1(k5_square_1(A), k1_numbers)) ).
fof(dt_k6_xcmplx_0, axiom,  (! [A, B] : $true) ).
fof(dt_k7_real_1, axiom,  (! [A, B] : m1_subset_1(k7_real_1(A, B), k1_numbers)) ).
fof(dt_k8_real_1, axiom,  (! [A, B] : m1_subset_1(k8_real_1(A, B), k1_numbers)) ).
fof(fc3_xcmplx_0, axiom,  (! [A, B] : v1_xcmplx_0(k3_xcmplx_0(A, B))) ).
fof(fc4_xcmplx_0, axiom,  (! [A, B] : v1_xcmplx_0(k6_xcmplx_0(A, B))) ).
fof(rc1_xcmplx_0, axiom,  (? [A] : v1_xcmplx_0(A)) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_r0, axiom, r1_xxreal_0(np__0, np__0)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r1, axiom, r1_xxreal_0(np__0, np__1)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r2, axiom, r1_xxreal_0(np__0, np__2)).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm1, axiom,  ~ (r1_xxreal_0(np__0, k4_xcmplx_0(np__1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm2, axiom,  ~ (r1_xxreal_0(np__0, k4_xcmplx_0(np__2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r0, axiom,  ~ (r1_xxreal_0(np__1, np__0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(np__1, np__1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(np__1, np__2)).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm1, axiom,  ~ (r1_xxreal_0(np__1, k4_xcmplx_0(np__1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm2, axiom,  ~ (r1_xxreal_0(np__1, k4_xcmplx_0(np__2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r0, axiom,  ~ (r1_xxreal_0(np__2, np__0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom,  ~ (r1_xxreal_0(np__2, np__1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom, r1_xxreal_0(np__2, np__2)).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm1, axiom,  ~ (r1_xxreal_0(np__2, k4_xcmplx_0(np__1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm2, axiom,  ~ (r1_xxreal_0(np__2, k4_xcmplx_0(np__2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r0, axiom, r1_xxreal_0(k4_xcmplx_0(np__1), np__0)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r1, axiom, r1_xxreal_0(k4_xcmplx_0(np__1), np__1)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r2, axiom, r1_xxreal_0(k4_xcmplx_0(np__1), np__2)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(np__1), k4_xcmplx_0(np__1))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm2, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(np__1), k4_xcmplx_0(np__2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r0, axiom, r1_xxreal_0(k4_xcmplx_0(np__2), np__0)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r1, axiom, r1_xxreal_0(k4_xcmplx_0(np__2), np__1)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r2, axiom, r1_xxreal_0(k4_xcmplx_0(np__2), np__2)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(np__2), k4_xcmplx_0(np__1))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(np__2), k4_xcmplx_0(np__2))).
fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, k6_xcmplx_0(np__0, np__0)=np__0).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(np__0, np__1)=k4_xcmplx_0(np__1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, k6_xcmplx_0(np__0, np__2)=k4_xcmplx_0(np__2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(np__0, k4_xcmplx_0(np__1))=np__1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom, k6_xcmplx_0(np__0, k4_xcmplx_0(np__2))=np__2).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(np__1, np__0)=np__1).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(np__1, np__2)=k4_xcmplx_0(np__1)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(np__1, k4_xcmplx_0(np__1))=np__2).
fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom, k6_xcmplx_0(np__2, np__0)=np__2).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(np__2, np__2)=np__0).
fof(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(np__1), np__0)=k4_xcmplx_0(np__1)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(np__1), np__1)=k4_xcmplx_0(np__2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(np__1), k4_xcmplx_0(np__2))=np__1).
fof(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(np__2), np__0)=k4_xcmplx_0(np__2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(np__2), k4_xcmplx_0(np__1))=k4_xcmplx_0(np__1)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(np__2), k4_xcmplx_0(np__2))=np__0).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(np__0, np__0)=np__0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(np__0, np__1)=np__0).
fof(rqRealMult__k3_xcmplx_0__r0_r2_r0, axiom, k3_xcmplx_0(np__0, np__2)=np__0).
fof(rqRealMult__k3_xcmplx_0__r0_rm2_r0, axiom, k3_xcmplx_0(np__0, k4_xcmplx_0(np__2))=np__0).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(np__1, np__0)=np__0).
fof(rqRealMult__k3_xcmplx_0__r1_rm2_rm2, axiom, k3_xcmplx_0(np__1, k4_xcmplx_0(np__2))=k4_xcmplx_0(np__2)).
fof(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom, k3_xcmplx_0(np__2, np__0)=np__0).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(np__2, np__1)=np__2).
fof(rqRealMult__k3_xcmplx_0__rm2_r0_r0, axiom, k3_xcmplx_0(k4_xcmplx_0(np__2), np__0)=np__0).
fof(rqRealMult__k3_xcmplx_0__rm2_r1_rm2, axiom, k3_xcmplx_0(k4_xcmplx_0(np__2), np__1)=k4_xcmplx_0(np__2)).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(np__0)=np__0).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(np__2))=np__2).
fof(spc2_arithm, axiom,  (! [A] : k3_xcmplx_0(A, k4_xcmplx_0(np__1))=k4_xcmplx_0(A)) ).
fof(spc7_arithm, axiom,  (! [A, B, C] : k3_xcmplx_0(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(A, k3_xcmplx_0(B, C))) ).
fof(spc9_arithm, axiom,  (! [A, B] : k6_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k6_xcmplx_0(B, A)) ).
fof(t3_arithm, axiom,  (! [A] : k3_xcmplx_0(np__1, A)=A) ).
fof(spc0_boole, axiom, v1_xboole_0(np__0)).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(np__1)) ).
fof(spc2_boole, axiom,  ~ (v1_xboole_0(np__2)) ).
fof(spc0_numerals, axiom,  (m2_subset_1(np__0, k1_numbers, k5_numbers) &  (m1_subset_1(np__0, k5_numbers) & m1_subset_1(np__0, k1_numbers)) ) ).
fof(spc1_numerals, axiom,  ( (v2_xxreal_0(np__1) & m2_subset_1(np__1, k1_numbers, k5_numbers))  &  (m1_subset_1(np__1, k5_numbers) & m1_subset_1(np__1, k1_numbers)) ) ).
fof(spc2_numerals, axiom,  ( (v2_xxreal_0(np__2) & m2_subset_1(np__2, k1_numbers, k5_numbers))  &  (m1_subset_1(np__2, k5_numbers) & m1_subset_1(np__2, k1_numbers)) ) ).
fof(l22_csspace2, axiom,  (! [A] :  (! [B] : r1_xxreal_0(k8_real_1(np__2, k17_complex1(k3_xcmplx_0(A, B))), k7_real_1(k5_square_1(k17_complex1(A)), k5_square_1(k17_complex1(B))))) ) ).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(np__1, np__1)=np__1).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(np__1, np__2)=np__2).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(np__1)=k4_xcmplx_0(np__1)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(np__2)=k4_xcmplx_0(np__2)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(np__1))=np__1).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(np__1), k4_xcmplx_0(np__1))=np__0).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(np__2, np__1)=np__1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(np__1, np__1)=np__0).