% Mizar problem: t71_xprimes1,xprimes1,307,5 
fof(t71_xprimes1, conjecture, v1_int_2(71)).
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_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(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
fof(cc2_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_xxreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xxreal_0(A)) ) ).
fof(cc3_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_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_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_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v2_int_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_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_int_1, axiom,  (! [A] :  (v2_int_1(A) => v1_int_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_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_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_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_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_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k2_nat_1(A, B)=k2_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(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(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(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_k2_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k2_nat_1(A, B), k4_ordinal1)) ) ).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc1_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc2_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k3_xcmplx_0(A, B))) ) ).
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(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc7_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
fof(fc8_int_1, axiom,  (! [A, B] :  ( (v2_int_1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc1_int_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_int_1(A)) ) ) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc3_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_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_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_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_k2_nat_1, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_ordinal1) & m1_subset_1(B, k4_ordinal1))  => k2_nat_1(A, B)=k3_xcmplx_0(A, B)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_r1_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (r1_nat_d(A, B) <=> r1_int_1(A, B)) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => r1_int_1(A, A)) ) ).
fof(reflexivity_r1_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => r1_nat_d(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_r121, axiom, r1_xxreal_0(0, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r14, axiom, r1_xxreal_0(0, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r2, axiom, r1_xxreal_0(0, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r23, axiom, r1_xxreal_0(0, 23)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r3, axiom, r1_xxreal_0(0, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r35, axiom, r1_xxreal_0(0, 35)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r5, axiom, r1_xxreal_0(0, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r69, axiom, r1_xxreal_0(0, 69)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r7, axiom, r1_xxreal_0(0, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r70, axiom, r1_xxreal_0(0, 70)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r71, axiom, r1_xxreal_0(0, 71)).
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_r121, axiom, r1_xxreal_0(10, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r14, axiom, r1_xxreal_0(10, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r2, axiom,  ~ (r1_xxreal_0(10, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r23, axiom, r1_xxreal_0(10, 23)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r3, axiom,  ~ (r1_xxreal_0(10, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r35, axiom, r1_xxreal_0(10, 35)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r5, axiom,  ~ (r1_xxreal_0(10, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r69, axiom, r1_xxreal_0(10, 69)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r7, axiom,  ~ (r1_xxreal_0(10, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r70, axiom, r1_xxreal_0(10, 70)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r71, axiom, r1_xxreal_0(10, 71)).
fof(rqLessOrEqual__r1_xxreal_0__r121_r0, axiom,  ~ (r1_xxreal_0(121, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r1, axiom,  ~ (r1_xxreal_0(121, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r10, axiom,  ~ (r1_xxreal_0(121, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r121, axiom, r1_xxreal_0(121, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r121_r14, axiom,  ~ (r1_xxreal_0(121, 14)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r2, axiom,  ~ (r1_xxreal_0(121, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r23, axiom,  ~ (r1_xxreal_0(121, 23)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r3, axiom,  ~ (r1_xxreal_0(121, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r5, axiom,  ~ (r1_xxreal_0(121, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r7, axiom,  ~ (r1_xxreal_0(121, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r70, axiom,  ~ (r1_xxreal_0(121, 70)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r71, axiom,  ~ (r1_xxreal_0(121, 71)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r0, axiom,  ~ (r1_xxreal_0(14, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r1, axiom,  ~ (r1_xxreal_0(14, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r10, axiom,  ~ (r1_xxreal_0(14, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r121, axiom, r1_xxreal_0(14, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r14_r14, axiom, r1_xxreal_0(14, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r14_r2, axiom,  ~ (r1_xxreal_0(14, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r23, axiom, r1_xxreal_0(14, 23)).
fof(rqLessOrEqual__r1_xxreal_0__r14_r3, axiom,  ~ (r1_xxreal_0(14, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r35, axiom, r1_xxreal_0(14, 35)).
fof(rqLessOrEqual__r1_xxreal_0__r14_r5, axiom,  ~ (r1_xxreal_0(14, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r69, axiom, r1_xxreal_0(14, 69)).
fof(rqLessOrEqual__r1_xxreal_0__r14_r7, axiom,  ~ (r1_xxreal_0(14, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r70, axiom, r1_xxreal_0(14, 70)).
fof(rqLessOrEqual__r1_xxreal_0__r14_r71, axiom, r1_xxreal_0(14, 71)).
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_r121, axiom, r1_xxreal_0(1, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r14, axiom, r1_xxreal_0(1, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(1, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r23, axiom, r1_xxreal_0(1, 23)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom, r1_xxreal_0(1, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r35, axiom, r1_xxreal_0(1, 35)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r5, axiom, r1_xxreal_0(1, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r69, axiom, r1_xxreal_0(1, 69)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r7, axiom, r1_xxreal_0(1, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r70, axiom, r1_xxreal_0(1, 70)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r71, axiom, r1_xxreal_0(1, 71)).
fof(rqLessOrEqual__r1_xxreal_0__r23_r0, axiom,  ~ (r1_xxreal_0(23, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r23_r1, axiom,  ~ (r1_xxreal_0(23, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r23_r10, axiom,  ~ (r1_xxreal_0(23, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r23_r121, axiom, r1_xxreal_0(23, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r23_r14, axiom,  ~ (r1_xxreal_0(23, 14)) ).
fof(rqLessOrEqual__r1_xxreal_0__r23_r2, axiom,  ~ (r1_xxreal_0(23, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r23_r23, axiom, r1_xxreal_0(23, 23)).
fof(rqLessOrEqual__r1_xxreal_0__r23_r3, axiom,  ~ (r1_xxreal_0(23, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r23_r35, axiom, r1_xxreal_0(23, 35)).
fof(rqLessOrEqual__r1_xxreal_0__r23_r5, axiom,  ~ (r1_xxreal_0(23, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r23_r69, axiom, r1_xxreal_0(23, 69)).
fof(rqLessOrEqual__r1_xxreal_0__r23_r7, axiom,  ~ (r1_xxreal_0(23, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r23_r70, axiom, r1_xxreal_0(23, 70)).
fof(rqLessOrEqual__r1_xxreal_0__r23_r71, axiom, r1_xxreal_0(23, 71)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r0, axiom,  ~ (r1_xxreal_0(2, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom,  ~ (r1_xxreal_0(2, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r10, axiom, r1_xxreal_0(2, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r121, axiom, r1_xxreal_0(2, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r14, axiom, r1_xxreal_0(2, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom, r1_xxreal_0(2, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r23, axiom, r1_xxreal_0(2, 23)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r3, axiom, r1_xxreal_0(2, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r35, axiom, r1_xxreal_0(2, 35)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r5, axiom, r1_xxreal_0(2, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r69, axiom, r1_xxreal_0(2, 69)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r7, axiom, r1_xxreal_0(2, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r70, axiom, r1_xxreal_0(2, 70)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r71, axiom, r1_xxreal_0(2, 71)).
fof(rqLessOrEqual__r1_xxreal_0__r35_r0, axiom,  ~ (r1_xxreal_0(35, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r35_r1, axiom,  ~ (r1_xxreal_0(35, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r35_r10, axiom,  ~ (r1_xxreal_0(35, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r35_r121, axiom, r1_xxreal_0(35, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r35_r14, axiom,  ~ (r1_xxreal_0(35, 14)) ).
fof(rqLessOrEqual__r1_xxreal_0__r35_r2, axiom,  ~ (r1_xxreal_0(35, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r35_r23, axiom,  ~ (r1_xxreal_0(35, 23)) ).
fof(rqLessOrEqual__r1_xxreal_0__r35_r3, axiom,  ~ (r1_xxreal_0(35, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r35_r35, axiom, r1_xxreal_0(35, 35)).
fof(rqLessOrEqual__r1_xxreal_0__r35_r5, axiom,  ~ (r1_xxreal_0(35, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r35_r69, axiom, r1_xxreal_0(35, 69)).
fof(rqLessOrEqual__r1_xxreal_0__r35_r7, axiom,  ~ (r1_xxreal_0(35, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r35_r70, axiom, r1_xxreal_0(35, 70)).
fof(rqLessOrEqual__r1_xxreal_0__r35_r71, axiom, r1_xxreal_0(35, 71)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r0, axiom,  ~ (r1_xxreal_0(3, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r1, axiom,  ~ (r1_xxreal_0(3, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r10, axiom, r1_xxreal_0(3, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r121, axiom, r1_xxreal_0(3, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r14, axiom, r1_xxreal_0(3, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r2, axiom,  ~ (r1_xxreal_0(3, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r23, axiom, r1_xxreal_0(3, 23)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r3, axiom, r1_xxreal_0(3, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r35, axiom, r1_xxreal_0(3, 35)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r5, axiom, r1_xxreal_0(3, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r69, axiom, r1_xxreal_0(3, 69)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r7, axiom, r1_xxreal_0(3, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r70, axiom, r1_xxreal_0(3, 70)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r71, axiom, r1_xxreal_0(3, 71)).
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_r121, axiom, r1_xxreal_0(5, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r14, axiom, r1_xxreal_0(5, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r2, axiom,  ~ (r1_xxreal_0(5, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r23, axiom, r1_xxreal_0(5, 23)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r3, axiom,  ~ (r1_xxreal_0(5, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r35, axiom, r1_xxreal_0(5, 35)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r5, axiom, r1_xxreal_0(5, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r69, axiom, r1_xxreal_0(5, 69)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r7, axiom, r1_xxreal_0(5, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r70, axiom, r1_xxreal_0(5, 70)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r71, axiom, r1_xxreal_0(5, 71)).
fof(rqLessOrEqual__r1_xxreal_0__r69_r0, axiom,  ~ (r1_xxreal_0(69, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r69_r1, axiom,  ~ (r1_xxreal_0(69, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r69_r10, axiom,  ~ (r1_xxreal_0(69, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r69_r121, axiom, r1_xxreal_0(69, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r69_r14, axiom,  ~ (r1_xxreal_0(69, 14)) ).
fof(rqLessOrEqual__r1_xxreal_0__r69_r2, axiom,  ~ (r1_xxreal_0(69, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r69_r23, axiom,  ~ (r1_xxreal_0(69, 23)) ).
fof(rqLessOrEqual__r1_xxreal_0__r69_r3, axiom,  ~ (r1_xxreal_0(69, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r69_r5, axiom,  ~ (r1_xxreal_0(69, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r69_r69, axiom, r1_xxreal_0(69, 69)).
fof(rqLessOrEqual__r1_xxreal_0__r69_r7, axiom,  ~ (r1_xxreal_0(69, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r69_r70, axiom, r1_xxreal_0(69, 70)).
fof(rqLessOrEqual__r1_xxreal_0__r69_r71, axiom, r1_xxreal_0(69, 71)).
fof(rqLessOrEqual__r1_xxreal_0__r70_r0, axiom,  ~ (r1_xxreal_0(70, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r70_r1, axiom,  ~ (r1_xxreal_0(70, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r70_r10, axiom,  ~ (r1_xxreal_0(70, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r70_r121, axiom, r1_xxreal_0(70, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r70_r14, axiom,  ~ (r1_xxreal_0(70, 14)) ).
fof(rqLessOrEqual__r1_xxreal_0__r70_r2, axiom,  ~ (r1_xxreal_0(70, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r70_r23, axiom,  ~ (r1_xxreal_0(70, 23)) ).
fof(rqLessOrEqual__r1_xxreal_0__r70_r3, axiom,  ~ (r1_xxreal_0(70, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r70_r35, axiom,  ~ (r1_xxreal_0(70, 35)) ).
fof(rqLessOrEqual__r1_xxreal_0__r70_r5, axiom,  ~ (r1_xxreal_0(70, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r70_r69, axiom,  ~ (r1_xxreal_0(70, 69)) ).
fof(rqLessOrEqual__r1_xxreal_0__r70_r7, axiom,  ~ (r1_xxreal_0(70, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r70_r70, axiom, r1_xxreal_0(70, 70)).
fof(rqLessOrEqual__r1_xxreal_0__r70_r71, axiom, r1_xxreal_0(70, 71)).
fof(rqLessOrEqual__r1_xxreal_0__r71_r0, axiom,  ~ (r1_xxreal_0(71, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r71_r1, axiom,  ~ (r1_xxreal_0(71, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r71_r10, axiom,  ~ (r1_xxreal_0(71, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r71_r121, axiom, r1_xxreal_0(71, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r71_r14, axiom,  ~ (r1_xxreal_0(71, 14)) ).
fof(rqLessOrEqual__r1_xxreal_0__r71_r2, axiom,  ~ (r1_xxreal_0(71, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r71_r23, axiom,  ~ (r1_xxreal_0(71, 23)) ).
fof(rqLessOrEqual__r1_xxreal_0__r71_r3, axiom,  ~ (r1_xxreal_0(71, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r71_r35, axiom,  ~ (r1_xxreal_0(71, 35)) ).
fof(rqLessOrEqual__r1_xxreal_0__r71_r5, axiom,  ~ (r1_xxreal_0(71, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r71_r69, axiom,  ~ (r1_xxreal_0(71, 69)) ).
fof(rqLessOrEqual__r1_xxreal_0__r71_r7, axiom,  ~ (r1_xxreal_0(71, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r71_r70, axiom,  ~ (r1_xxreal_0(71, 70)) ).
fof(rqLessOrEqual__r1_xxreal_0__r71_r71, axiom, r1_xxreal_0(71, 71)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r0, axiom,  ~ (r1_xxreal_0(7, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r1, axiom,  ~ (r1_xxreal_0(7, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r10, axiom, r1_xxreal_0(7, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r121, axiom, r1_xxreal_0(7, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r14, axiom, r1_xxreal_0(7, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r2, axiom,  ~ (r1_xxreal_0(7, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r23, axiom, r1_xxreal_0(7, 23)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r3, axiom,  ~ (r1_xxreal_0(7, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r35, axiom, r1_xxreal_0(7, 35)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r5, axiom,  ~ (r1_xxreal_0(7, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r69, axiom, r1_xxreal_0(7, 69)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r7, axiom, r1_xxreal_0(7, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r70, axiom, r1_xxreal_0(7, 70)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r71, axiom, r1_xxreal_0(7, 71)).
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_r14_r14, axiom, k2_xcmplx_0(0, 14)=14).
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_r35_r35, axiom, k2_xcmplx_0(0, 35)=35).
fof(rqRealAdd__k2_xcmplx_0__r0_r3_r3, axiom, k2_xcmplx_0(0, 3)=3).
fof(rqRealAdd__k2_xcmplx_0__r0_r5_r5, axiom, k2_xcmplx_0(0, 5)=5).
fof(rqRealAdd__k2_xcmplx_0__r0_r70_r70, axiom, k2_xcmplx_0(0, 70)=70).
fof(rqRealAdd__k2_xcmplx_0__r0_r7_r7, axiom, k2_xcmplx_0(0, 7)=7).
fof(rqRealAdd__k2_xcmplx_0__r10_r0_r10, axiom, k2_xcmplx_0(10, 0)=10).
fof(rqRealAdd__k2_xcmplx_0__r14_r0_r14, axiom, k2_xcmplx_0(14, 0)=14).
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_r2_r3, axiom, k2_xcmplx_0(1, 2)=3).
fof(rqRealAdd__k2_xcmplx_0__r1_r69_r70, axiom, k2_xcmplx_0(1, 69)=70).
fof(rqRealAdd__k2_xcmplx_0__r1_r70_r71, axiom, k2_xcmplx_0(1, 70)=71).
fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom, k2_xcmplx_0(2, 0)=2).
fof(rqRealAdd__k2_xcmplx_0__r2_r1_r3, axiom, k2_xcmplx_0(2, 1)=3).
fof(rqRealAdd__k2_xcmplx_0__r2_r3_r5, axiom, k2_xcmplx_0(2, 3)=5).
fof(rqRealAdd__k2_xcmplx_0__r2_r5_r7, axiom, k2_xcmplx_0(2, 5)=7).
fof(rqRealAdd__k2_xcmplx_0__r2_r69_r71, axiom, k2_xcmplx_0(2, 69)=71).
fof(rqRealAdd__k2_xcmplx_0__r35_r0_r35, axiom, k2_xcmplx_0(35, 0)=35).
fof(rqRealAdd__k2_xcmplx_0__r35_r35_r70, axiom, k2_xcmplx_0(35, 35)=70).
fof(rqRealAdd__k2_xcmplx_0__r3_r0_r3, axiom, k2_xcmplx_0(3, 0)=3).
fof(rqRealAdd__k2_xcmplx_0__r3_r2_r5, axiom, k2_xcmplx_0(3, 2)=5).
fof(rqRealAdd__k2_xcmplx_0__r3_r7_r10, axiom, k2_xcmplx_0(3, 7)=10).
fof(rqRealAdd__k2_xcmplx_0__r5_r0_r5, axiom, k2_xcmplx_0(5, 0)=5).
fof(rqRealAdd__k2_xcmplx_0__r5_r2_r7, axiom, k2_xcmplx_0(5, 2)=7).
fof(rqRealAdd__k2_xcmplx_0__r5_r5_r10, axiom, k2_xcmplx_0(5, 5)=10).
fof(rqRealAdd__k2_xcmplx_0__r69_r1_r70, axiom, k2_xcmplx_0(69, 1)=70).
fof(rqRealAdd__k2_xcmplx_0__r69_r2_r71, axiom, k2_xcmplx_0(69, 2)=71).
fof(rqRealAdd__k2_xcmplx_0__r70_r0_r70, axiom, k2_xcmplx_0(70, 0)=70).
fof(rqRealAdd__k2_xcmplx_0__r70_r1_r71, axiom, k2_xcmplx_0(70, 1)=71).
fof(rqRealAdd__k2_xcmplx_0__r7_r0_r7, axiom, k2_xcmplx_0(7, 0)=7).
fof(rqRealAdd__k2_xcmplx_0__r7_r3_r10, axiom, k2_xcmplx_0(7, 3)=10).
fof(rqRealAdd__k2_xcmplx_0__r7_r7_r14, axiom, k2_xcmplx_0(7, 7)=14).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(0, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r10_r0, axiom, k3_xcmplx_0(0, 10)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r14_r0, axiom, k3_xcmplx_0(0, 14)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r23_r0, axiom, k3_xcmplx_0(0, 23)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r2_r0, axiom, k3_xcmplx_0(0, 2)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r3_r0, axiom, k3_xcmplx_0(0, 3)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r5_r0, axiom, k3_xcmplx_0(0, 5)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r69_r0, axiom, k3_xcmplx_0(0, 69)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r70_r0, axiom, k3_xcmplx_0(0, 70)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r7_r0, axiom, k3_xcmplx_0(0, 7)=0).
fof(rqRealMult__k3_xcmplx_0__r10_r0_r0, axiom, k3_xcmplx_0(10, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r10_r1_r10, axiom, k3_xcmplx_0(10, 1)=10).
fof(rqRealMult__k3_xcmplx_0__r10_r7_r70, axiom, k3_xcmplx_0(10, 7)=70).
fof(rqRealMult__k3_xcmplx_0__r121_r1_r121, axiom, k3_xcmplx_0(121, 1)=121).
fof(rqRealMult__k3_xcmplx_0__r14_r0_r0, axiom, k3_xcmplx_0(14, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r14_r1_r14, axiom, k3_xcmplx_0(14, 1)=14).
fof(rqRealMult__k3_xcmplx_0__r14_r5_r70, axiom, k3_xcmplx_0(14, 5)=70).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r10_r10, axiom, k3_xcmplx_0(1, 10)=10).
fof(rqRealMult__k3_xcmplx_0__r1_r121_r121, axiom, k3_xcmplx_0(1, 121)=121).
fof(rqRealMult__k3_xcmplx_0__r1_r14_r14, axiom, k3_xcmplx_0(1, 14)=14).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r23_r23, axiom, k3_xcmplx_0(1, 23)=23).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r35_r35, axiom, k3_xcmplx_0(1, 35)=35).
fof(rqRealMult__k3_xcmplx_0__r1_r3_r3, axiom, k3_xcmplx_0(1, 3)=3).
fof(rqRealMult__k3_xcmplx_0__r1_r5_r5, axiom, k3_xcmplx_0(1, 5)=5).
fof(rqRealMult__k3_xcmplx_0__r1_r69_r69, axiom, k3_xcmplx_0(1, 69)=69).
fof(rqRealMult__k3_xcmplx_0__r1_r70_r70, axiom, k3_xcmplx_0(1, 70)=70).
fof(rqRealMult__k3_xcmplx_0__r1_r71_r71, axiom, k3_xcmplx_0(1, 71)=71).
fof(rqRealMult__k3_xcmplx_0__r1_r7_r7, axiom, k3_xcmplx_0(1, 7)=7).
fof(rqRealMult__k3_xcmplx_0__r23_r0_r0, axiom, k3_xcmplx_0(23, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r23_r1_r23, axiom, k3_xcmplx_0(23, 1)=23).
fof(rqRealMult__k3_xcmplx_0__r23_r3_r69, axiom, k3_xcmplx_0(23, 3)=69).
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__r2_r35_r70, axiom, k3_xcmplx_0(2, 35)=70).
fof(rqRealMult__k3_xcmplx_0__r2_r5_r10, axiom, k3_xcmplx_0(2, 5)=10).
fof(rqRealMult__k3_xcmplx_0__r2_r7_r14, axiom, k3_xcmplx_0(2, 7)=14).
fof(rqRealMult__k3_xcmplx_0__r35_r1_r35, axiom, k3_xcmplx_0(35, 1)=35).
fof(rqRealMult__k3_xcmplx_0__r35_r2_r70, axiom, k3_xcmplx_0(35, 2)=70).
fof(rqRealMult__k3_xcmplx_0__r3_r0_r0, axiom, k3_xcmplx_0(3, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r3_r1_r3, axiom, k3_xcmplx_0(3, 1)=3).
fof(rqRealMult__k3_xcmplx_0__r3_r23_r69, axiom, k3_xcmplx_0(3, 23)=69).
fof(rqRealMult__k3_xcmplx_0__r5_r0_r0, axiom, k3_xcmplx_0(5, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r5_r14_r70, axiom, k3_xcmplx_0(5, 14)=70).
fof(rqRealMult__k3_xcmplx_0__r5_r1_r5, axiom, k3_xcmplx_0(5, 1)=5).
fof(rqRealMult__k3_xcmplx_0__r5_r2_r10, axiom, k3_xcmplx_0(5, 2)=10).
fof(rqRealMult__k3_xcmplx_0__r5_r7_r35, axiom, k3_xcmplx_0(5, 7)=35).
fof(rqRealMult__k3_xcmplx_0__r69_r0_r0, axiom, k3_xcmplx_0(69, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r69_r1_r69, axiom, k3_xcmplx_0(69, 1)=69).
fof(rqRealMult__k3_xcmplx_0__r70_r0_r0, axiom, k3_xcmplx_0(70, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r70_r1_r70, axiom, k3_xcmplx_0(70, 1)=70).
fof(rqRealMult__k3_xcmplx_0__r71_r1_r71, axiom, k3_xcmplx_0(71, 1)=71).
fof(rqRealMult__k3_xcmplx_0__r7_r0_r0, axiom, k3_xcmplx_0(7, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r7_r10_r70, axiom, k3_xcmplx_0(7, 10)=70).
fof(rqRealMult__k3_xcmplx_0__r7_r1_r7, axiom, k3_xcmplx_0(7, 1)=7).
fof(rqRealMult__k3_xcmplx_0__r7_r2_r14, axiom, k3_xcmplx_0(7, 2)=14).
fof(rqRealMult__k3_xcmplx_0__r7_r5_r35, axiom, k3_xcmplx_0(7, 5)=35).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc10_numerals, axiom,  (v2_xxreal_0(10) & m1_subset_1(10, k4_ordinal1)) ).
fof(spc121_numerals, axiom,  (v2_xxreal_0(121) & m1_subset_1(121, k4_ordinal1)) ).
fof(spc14_numerals, axiom,  (v2_xxreal_0(14) & m1_subset_1(14, k4_ordinal1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc23_numerals, axiom,  (v2_xxreal_0(23) & m1_subset_1(23, k4_ordinal1)) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc35_numerals, axiom,  (v2_xxreal_0(35) & m1_subset_1(35, k4_ordinal1)) ).
fof(spc3_numerals, axiom,  (v2_xxreal_0(3) & m1_subset_1(3, 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(spc5_numerals, axiom,  (v2_xxreal_0(5) & m1_subset_1(5, k4_ordinal1)) ).
fof(spc69_numerals, axiom,  (v2_xxreal_0(69) & m1_subset_1(69, 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(spc70_numerals, axiom,  (v2_xxreal_0(70) & m1_subset_1(70, k4_ordinal1)) ).
fof(spc71_numerals, axiom,  (v2_xxreal_0(71) & m1_subset_1(71, k4_ordinal1)) ).
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(spc7_numerals, axiom,  (v2_xxreal_0(7) & m1_subset_1(7, k4_ordinal1)) ).
fof(t14_nat_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_int_2(A) <=>  ( ~ (r1_xxreal_0(A, 1))  &  (! [B] :  (m1_subset_1(B, k4_ordinal1) =>  ~ ( ( ~ (r1_xxreal_0(B, 1))  &  (r1_xxreal_0(k2_nat_1(B, B), A) &  (v1_int_2(B) & r1_nat_d(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t1_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v2_xxreal_0(A))  => v2_xxreal_0(B)) ) ) ) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k5_numbers)=k5_numbers) ) ).
fof(t2_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v3_xxreal_0(B))  => v3_xxreal_0(A)) ) ) ) ) ).
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(t3_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v3_xxreal_0(A))  & v3_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t4_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v2_xxreal_0(B))  & v2_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t5_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(B) |  (v3_xxreal_0(A) | v2_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t6_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(A) |  (v2_xxreal_0(B) | v3_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t7_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(B)) ) ) ) ) ) ) ) ).
fof(t8_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v3_xxreal_0(B))  &  ~ (v2_xxreal_0(A)) ) ) ) ) ) ) ) ).
fof(t8_xprimet1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v7_ordinal1(B) & v1_int_2(B))  =>  ~ ( (r1_xxreal_0(k3_xcmplx_0(B, B), A) &  ( ~ (r1_xxreal_0(121, A))  &  ( ~ (B=2)  &  ( ~ (B=3)  &  ( ~ (B=5)  &  ~ (B=7) ) ) ) ) ) ) ) ) ) ) ).
fof(t9_nat_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ~ ( ( ~ (r1_xxreal_0(C, k5_numbers))  &  ( ~ (r1_xxreal_0(A, C))  & r1_nat_d(A, k2_xcmplx_0(k3_xcmplx_0(A, B), C))) ) ) ) ) ) ) ) ) ).
