% Mizar problem: t67_xprimes1,xprimes1,291,5 
fof(t67_xprimes1, conjecture, v1_int_2(67)).
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_r121, axiom, r1_xxreal_0(0, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r13, axiom, r1_xxreal_0(0, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r2, axiom, r1_xxreal_0(0, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r22, axiom, r1_xxreal_0(0, 22)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r3, axiom, r1_xxreal_0(0, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r33, axiom, r1_xxreal_0(0, 33)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r4, axiom, r1_xxreal_0(0, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r5, axiom, r1_xxreal_0(0, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r63, axiom, r1_xxreal_0(0, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r65, axiom, r1_xxreal_0(0, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r66, axiom, r1_xxreal_0(0, 66)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r67, axiom, r1_xxreal_0(0, 67)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r7, axiom, r1_xxreal_0(0, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r9, axiom, r1_xxreal_0(0, 9)).
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_r121, axiom, r1_xxreal_0(121, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r121_r13, axiom,  ~ (r1_xxreal_0(121, 13)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r2, axiom,  ~ (r1_xxreal_0(121, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r3, axiom,  ~ (r1_xxreal_0(121, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r4, axiom,  ~ (r1_xxreal_0(121, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r5, axiom,  ~ (r1_xxreal_0(121, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r67, axiom,  ~ (r1_xxreal_0(121, 67)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r7, axiom,  ~ (r1_xxreal_0(121, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r0, axiom,  ~ (r1_xxreal_0(13, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r1, axiom,  ~ (r1_xxreal_0(13, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r121, axiom, r1_xxreal_0(13, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r13_r13, axiom, r1_xxreal_0(13, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r13_r2, axiom,  ~ (r1_xxreal_0(13, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r22, axiom, r1_xxreal_0(13, 22)).
fof(rqLessOrEqual__r1_xxreal_0__r13_r3, axiom,  ~ (r1_xxreal_0(13, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r33, axiom, r1_xxreal_0(13, 33)).
fof(rqLessOrEqual__r1_xxreal_0__r13_r4, axiom,  ~ (r1_xxreal_0(13, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r5, axiom,  ~ (r1_xxreal_0(13, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r63, axiom, r1_xxreal_0(13, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r13_r65, axiom, r1_xxreal_0(13, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r13_r66, axiom, r1_xxreal_0(13, 66)).
fof(rqLessOrEqual__r1_xxreal_0__r13_r67, axiom, r1_xxreal_0(13, 67)).
fof(rqLessOrEqual__r1_xxreal_0__r13_r7, axiom,  ~ (r1_xxreal_0(13, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r9, axiom,  ~ (r1_xxreal_0(13, 9)) ).
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_r121, axiom, r1_xxreal_0(1, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r13, axiom, r1_xxreal_0(1, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(1, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r22, axiom, r1_xxreal_0(1, 22)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom, r1_xxreal_0(1, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r33, axiom, r1_xxreal_0(1, 33)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r4, axiom, r1_xxreal_0(1, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r5, axiom, r1_xxreal_0(1, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r63, axiom, r1_xxreal_0(1, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r65, axiom, r1_xxreal_0(1, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r66, axiom, r1_xxreal_0(1, 66)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r67, axiom, r1_xxreal_0(1, 67)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r7, axiom, r1_xxreal_0(1, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r9, axiom, r1_xxreal_0(1, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r22_r0, axiom,  ~ (r1_xxreal_0(22, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r22_r1, axiom,  ~ (r1_xxreal_0(22, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r22_r121, axiom, r1_xxreal_0(22, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r22_r13, axiom,  ~ (r1_xxreal_0(22, 13)) ).
fof(rqLessOrEqual__r1_xxreal_0__r22_r2, axiom,  ~ (r1_xxreal_0(22, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r22_r22, axiom, r1_xxreal_0(22, 22)).
fof(rqLessOrEqual__r1_xxreal_0__r22_r3, axiom,  ~ (r1_xxreal_0(22, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r22_r33, axiom, r1_xxreal_0(22, 33)).
fof(rqLessOrEqual__r1_xxreal_0__r22_r4, axiom,  ~ (r1_xxreal_0(22, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r22_r5, axiom,  ~ (r1_xxreal_0(22, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r22_r63, axiom, r1_xxreal_0(22, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r22_r65, axiom, r1_xxreal_0(22, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r22_r66, axiom, r1_xxreal_0(22, 66)).
fof(rqLessOrEqual__r1_xxreal_0__r22_r67, axiom, r1_xxreal_0(22, 67)).
fof(rqLessOrEqual__r1_xxreal_0__r22_r7, axiom,  ~ (r1_xxreal_0(22, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r22_r9, axiom,  ~ (r1_xxreal_0(22, 9)) ).
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_r121, axiom, r1_xxreal_0(2, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r13, axiom, r1_xxreal_0(2, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom, r1_xxreal_0(2, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r22, axiom, r1_xxreal_0(2, 22)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r3, axiom, r1_xxreal_0(2, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r33, axiom, r1_xxreal_0(2, 33)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r4, axiom, r1_xxreal_0(2, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r5, axiom, r1_xxreal_0(2, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r63, axiom, r1_xxreal_0(2, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r65, axiom, r1_xxreal_0(2, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r66, axiom, r1_xxreal_0(2, 66)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r67, axiom, r1_xxreal_0(2, 67)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r7, axiom, r1_xxreal_0(2, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r9, axiom, r1_xxreal_0(2, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r33_r0, axiom,  ~ (r1_xxreal_0(33, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r33_r1, axiom,  ~ (r1_xxreal_0(33, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r33_r121, axiom, r1_xxreal_0(33, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r33_r13, axiom,  ~ (r1_xxreal_0(33, 13)) ).
fof(rqLessOrEqual__r1_xxreal_0__r33_r2, axiom,  ~ (r1_xxreal_0(33, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r33_r22, axiom,  ~ (r1_xxreal_0(33, 22)) ).
fof(rqLessOrEqual__r1_xxreal_0__r33_r3, axiom,  ~ (r1_xxreal_0(33, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r33_r33, axiom, r1_xxreal_0(33, 33)).
fof(rqLessOrEqual__r1_xxreal_0__r33_r4, axiom,  ~ (r1_xxreal_0(33, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r33_r5, axiom,  ~ (r1_xxreal_0(33, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r33_r63, axiom, r1_xxreal_0(33, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r33_r65, axiom, r1_xxreal_0(33, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r33_r66, axiom, r1_xxreal_0(33, 66)).
fof(rqLessOrEqual__r1_xxreal_0__r33_r67, axiom, r1_xxreal_0(33, 67)).
fof(rqLessOrEqual__r1_xxreal_0__r33_r7, axiom,  ~ (r1_xxreal_0(33, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r33_r9, axiom,  ~ (r1_xxreal_0(33, 9)) ).
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_r121, axiom, r1_xxreal_0(3, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r13, axiom, r1_xxreal_0(3, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r2, axiom,  ~ (r1_xxreal_0(3, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r22, axiom, r1_xxreal_0(3, 22)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r3, axiom, r1_xxreal_0(3, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r33, axiom, r1_xxreal_0(3, 33)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r4, axiom, r1_xxreal_0(3, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r5, axiom, r1_xxreal_0(3, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r63, axiom, r1_xxreal_0(3, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r65, axiom, r1_xxreal_0(3, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r66, axiom, r1_xxreal_0(3, 66)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r67, axiom, r1_xxreal_0(3, 67)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r7, axiom, r1_xxreal_0(3, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r9, axiom, r1_xxreal_0(3, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r0, axiom,  ~ (r1_xxreal_0(4, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r1, axiom,  ~ (r1_xxreal_0(4, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r121, axiom, r1_xxreal_0(4, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r13, axiom, r1_xxreal_0(4, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r2, axiom,  ~ (r1_xxreal_0(4, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r22, axiom, r1_xxreal_0(4, 22)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r3, axiom,  ~ (r1_xxreal_0(4, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r33, axiom, r1_xxreal_0(4, 33)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r4, axiom, r1_xxreal_0(4, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r5, axiom, r1_xxreal_0(4, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r63, axiom, r1_xxreal_0(4, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r65, axiom, r1_xxreal_0(4, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r66, axiom, r1_xxreal_0(4, 66)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r67, axiom, r1_xxreal_0(4, 67)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r7, axiom, r1_xxreal_0(4, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r9, axiom, r1_xxreal_0(4, 9)).
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_r121, axiom, r1_xxreal_0(5, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r13, axiom, r1_xxreal_0(5, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r2, axiom,  ~ (r1_xxreal_0(5, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r22, axiom, r1_xxreal_0(5, 22)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r3, axiom,  ~ (r1_xxreal_0(5, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r33, axiom, r1_xxreal_0(5, 33)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r4, axiom,  ~ (r1_xxreal_0(5, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r5, axiom, r1_xxreal_0(5, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r63, axiom, r1_xxreal_0(5, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r65, axiom, r1_xxreal_0(5, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r66, axiom, r1_xxreal_0(5, 66)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r67, axiom, r1_xxreal_0(5, 67)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r7, axiom, r1_xxreal_0(5, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r9, axiom, r1_xxreal_0(5, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r63_r0, axiom,  ~ (r1_xxreal_0(63, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r63_r1, axiom,  ~ (r1_xxreal_0(63, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r63_r121, axiom, r1_xxreal_0(63, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r63_r13, axiom,  ~ (r1_xxreal_0(63, 13)) ).
fof(rqLessOrEqual__r1_xxreal_0__r63_r2, axiom,  ~ (r1_xxreal_0(63, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r63_r22, axiom,  ~ (r1_xxreal_0(63, 22)) ).
fof(rqLessOrEqual__r1_xxreal_0__r63_r3, axiom,  ~ (r1_xxreal_0(63, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r63_r4, axiom,  ~ (r1_xxreal_0(63, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r63_r5, axiom,  ~ (r1_xxreal_0(63, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r63_r63, axiom, r1_xxreal_0(63, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r63_r65, axiom, r1_xxreal_0(63, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r63_r66, axiom, r1_xxreal_0(63, 66)).
fof(rqLessOrEqual__r1_xxreal_0__r63_r67, axiom, r1_xxreal_0(63, 67)).
fof(rqLessOrEqual__r1_xxreal_0__r63_r7, axiom,  ~ (r1_xxreal_0(63, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r63_r9, axiom,  ~ (r1_xxreal_0(63, 9)) ).
fof(rqLessOrEqual__r1_xxreal_0__r65_r0, axiom,  ~ (r1_xxreal_0(65, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r65_r1, axiom,  ~ (r1_xxreal_0(65, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r65_r121, axiom, r1_xxreal_0(65, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r65_r13, axiom,  ~ (r1_xxreal_0(65, 13)) ).
fof(rqLessOrEqual__r1_xxreal_0__r65_r2, axiom,  ~ (r1_xxreal_0(65, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r65_r22, axiom,  ~ (r1_xxreal_0(65, 22)) ).
fof(rqLessOrEqual__r1_xxreal_0__r65_r3, axiom,  ~ (r1_xxreal_0(65, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r65_r33, axiom,  ~ (r1_xxreal_0(65, 33)) ).
fof(rqLessOrEqual__r1_xxreal_0__r65_r4, axiom,  ~ (r1_xxreal_0(65, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r65_r5, axiom,  ~ (r1_xxreal_0(65, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r65_r63, axiom,  ~ (r1_xxreal_0(65, 63)) ).
fof(rqLessOrEqual__r1_xxreal_0__r65_r65, axiom, r1_xxreal_0(65, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r65_r66, axiom, r1_xxreal_0(65, 66)).
fof(rqLessOrEqual__r1_xxreal_0__r65_r67, axiom, r1_xxreal_0(65, 67)).
fof(rqLessOrEqual__r1_xxreal_0__r65_r7, axiom,  ~ (r1_xxreal_0(65, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r66_r0, axiom,  ~ (r1_xxreal_0(66, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r66_r1, axiom,  ~ (r1_xxreal_0(66, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r66_r121, axiom, r1_xxreal_0(66, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r66_r13, axiom,  ~ (r1_xxreal_0(66, 13)) ).
fof(rqLessOrEqual__r1_xxreal_0__r66_r2, axiom,  ~ (r1_xxreal_0(66, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r66_r22, axiom,  ~ (r1_xxreal_0(66, 22)) ).
fof(rqLessOrEqual__r1_xxreal_0__r66_r3, axiom,  ~ (r1_xxreal_0(66, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r66_r33, axiom,  ~ (r1_xxreal_0(66, 33)) ).
fof(rqLessOrEqual__r1_xxreal_0__r66_r4, axiom,  ~ (r1_xxreal_0(66, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r66_r5, axiom,  ~ (r1_xxreal_0(66, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r66_r63, axiom,  ~ (r1_xxreal_0(66, 63)) ).
fof(rqLessOrEqual__r1_xxreal_0__r66_r65, axiom,  ~ (r1_xxreal_0(66, 65)) ).
fof(rqLessOrEqual__r1_xxreal_0__r66_r66, axiom, r1_xxreal_0(66, 66)).
fof(rqLessOrEqual__r1_xxreal_0__r66_r67, axiom, r1_xxreal_0(66, 67)).
fof(rqLessOrEqual__r1_xxreal_0__r66_r7, axiom,  ~ (r1_xxreal_0(66, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r66_r9, axiom,  ~ (r1_xxreal_0(66, 9)) ).
fof(rqLessOrEqual__r1_xxreal_0__r67_r0, axiom,  ~ (r1_xxreal_0(67, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r67_r1, axiom,  ~ (r1_xxreal_0(67, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r67_r121, axiom, r1_xxreal_0(67, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r67_r13, axiom,  ~ (r1_xxreal_0(67, 13)) ).
fof(rqLessOrEqual__r1_xxreal_0__r67_r2, axiom,  ~ (r1_xxreal_0(67, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r67_r22, axiom,  ~ (r1_xxreal_0(67, 22)) ).
fof(rqLessOrEqual__r1_xxreal_0__r67_r3, axiom,  ~ (r1_xxreal_0(67, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r67_r33, axiom,  ~ (r1_xxreal_0(67, 33)) ).
fof(rqLessOrEqual__r1_xxreal_0__r67_r4, axiom,  ~ (r1_xxreal_0(67, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r67_r5, axiom,  ~ (r1_xxreal_0(67, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r67_r63, axiom,  ~ (r1_xxreal_0(67, 63)) ).
fof(rqLessOrEqual__r1_xxreal_0__r67_r65, axiom,  ~ (r1_xxreal_0(67, 65)) ).
fof(rqLessOrEqual__r1_xxreal_0__r67_r66, axiom,  ~ (r1_xxreal_0(67, 66)) ).
fof(rqLessOrEqual__r1_xxreal_0__r67_r67, axiom, r1_xxreal_0(67, 67)).
fof(rqLessOrEqual__r1_xxreal_0__r67_r7, axiom,  ~ (r1_xxreal_0(67, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r67_r9, axiom,  ~ (r1_xxreal_0(67, 9)) ).
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_r121, axiom, r1_xxreal_0(7, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r13, axiom, r1_xxreal_0(7, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r2, axiom,  ~ (r1_xxreal_0(7, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r22, axiom, r1_xxreal_0(7, 22)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r3, axiom,  ~ (r1_xxreal_0(7, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r33, axiom, r1_xxreal_0(7, 33)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r4, axiom,  ~ (r1_xxreal_0(7, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r5, axiom,  ~ (r1_xxreal_0(7, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r63, axiom, r1_xxreal_0(7, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r65, axiom, r1_xxreal_0(7, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r66, axiom, r1_xxreal_0(7, 66)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r67, axiom, r1_xxreal_0(7, 67)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r7, axiom, r1_xxreal_0(7, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r9, axiom, r1_xxreal_0(7, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r0, axiom,  ~ (r1_xxreal_0(9, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r1, axiom,  ~ (r1_xxreal_0(9, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r121, axiom, r1_xxreal_0(9, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r13, axiom, r1_xxreal_0(9, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r2, axiom,  ~ (r1_xxreal_0(9, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r22, axiom, r1_xxreal_0(9, 22)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r3, axiom,  ~ (r1_xxreal_0(9, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r33, axiom, r1_xxreal_0(9, 33)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r4, axiom,  ~ (r1_xxreal_0(9, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r5, axiom,  ~ (r1_xxreal_0(9, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r63, axiom, r1_xxreal_0(9, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r65, axiom, r1_xxreal_0(9, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r66, axiom, r1_xxreal_0(9, 66)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r67, axiom, r1_xxreal_0(9, 67)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r7, axiom,  ~ (r1_xxreal_0(9, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r9, axiom, r1_xxreal_0(9, 9)).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(0, 0)=0).
fof(rqRealAdd__k2_xcmplx_0__r0_r13_r13, axiom, k2_xcmplx_0(0, 13)=13).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(0, 1)=1).
fof(rqRealAdd__k2_xcmplx_0__r0_r22_r22, axiom, k2_xcmplx_0(0, 22)=22).
fof(rqRealAdd__k2_xcmplx_0__r0_r2_r2, axiom, k2_xcmplx_0(0, 2)=2).
fof(rqRealAdd__k2_xcmplx_0__r0_r3_r3, axiom, k2_xcmplx_0(0, 3)=3).
fof(rqRealAdd__k2_xcmplx_0__r0_r4_r4, axiom, k2_xcmplx_0(0, 4)=4).
fof(rqRealAdd__k2_xcmplx_0__r0_r5_r5, axiom, k2_xcmplx_0(0, 5)=5).
fof(rqRealAdd__k2_xcmplx_0__r0_r7_r7, axiom, k2_xcmplx_0(0, 7)=7).
fof(rqRealAdd__k2_xcmplx_0__r0_r9_r9, axiom, k2_xcmplx_0(0, 9)=9).
fof(rqRealAdd__k2_xcmplx_0__r13_r0_r13, axiom, k2_xcmplx_0(13, 0)=13).
fof(rqRealAdd__k2_xcmplx_0__r13_r9_r22, axiom, k2_xcmplx_0(13, 9)=22).
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_r3_r4, axiom, k2_xcmplx_0(1, 3)=4).
fof(rqRealAdd__k2_xcmplx_0__r1_r4_r5, axiom, k2_xcmplx_0(1, 4)=5).
fof(rqRealAdd__k2_xcmplx_0__r1_r65_r66, axiom, k2_xcmplx_0(1, 65)=66).
fof(rqRealAdd__k2_xcmplx_0__r1_r66_r67, axiom, k2_xcmplx_0(1, 66)=67).
fof(rqRealAdd__k2_xcmplx_0__r22_r0_r22, axiom, k2_xcmplx_0(22, 0)=22).
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_r2_r4, axiom, k2_xcmplx_0(2, 2)=4).
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_r63_r65, axiom, k2_xcmplx_0(2, 63)=65).
fof(rqRealAdd__k2_xcmplx_0__r2_r65_r67, axiom, k2_xcmplx_0(2, 65)=67).
fof(rqRealAdd__k2_xcmplx_0__r2_r7_r9, axiom, k2_xcmplx_0(2, 7)=9).
fof(rqRealAdd__k2_xcmplx_0__r3_r0_r3, axiom, k2_xcmplx_0(3, 0)=3).
fof(rqRealAdd__k2_xcmplx_0__r3_r1_r4, axiom, k2_xcmplx_0(3, 1)=4).
fof(rqRealAdd__k2_xcmplx_0__r3_r2_r5, axiom, k2_xcmplx_0(3, 2)=5).
fof(rqRealAdd__k2_xcmplx_0__r3_r4_r7, axiom, k2_xcmplx_0(3, 4)=7).
fof(rqRealAdd__k2_xcmplx_0__r4_r0_r4, axiom, k2_xcmplx_0(4, 0)=4).
fof(rqRealAdd__k2_xcmplx_0__r4_r1_r5, axiom, k2_xcmplx_0(4, 1)=5).
fof(rqRealAdd__k2_xcmplx_0__r4_r3_r7, axiom, k2_xcmplx_0(4, 3)=7).
fof(rqRealAdd__k2_xcmplx_0__r4_r5_r9, axiom, k2_xcmplx_0(4, 5)=9).
fof(rqRealAdd__k2_xcmplx_0__r4_r63_r67, axiom, k2_xcmplx_0(4, 63)=67).
fof(rqRealAdd__k2_xcmplx_0__r4_r9_r13, axiom, k2_xcmplx_0(4, 9)=13).
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_r4_r9, axiom, k2_xcmplx_0(5, 4)=9).
fof(rqRealAdd__k2_xcmplx_0__r63_r4_r67, axiom, k2_xcmplx_0(63, 4)=67).
fof(rqRealAdd__k2_xcmplx_0__r65_r0_r65, axiom, k2_xcmplx_0(65, 0)=65).
fof(rqRealAdd__k2_xcmplx_0__r65_r1_r66, axiom, k2_xcmplx_0(65, 1)=66).
fof(rqRealAdd__k2_xcmplx_0__r65_r2_r67, axiom, k2_xcmplx_0(65, 2)=67).
fof(rqRealAdd__k2_xcmplx_0__r66_r1_r67, axiom, k2_xcmplx_0(66, 1)=67).
fof(rqRealAdd__k2_xcmplx_0__r7_r0_r7, axiom, k2_xcmplx_0(7, 0)=7).
fof(rqRealAdd__k2_xcmplx_0__r7_r2_r9, axiom, k2_xcmplx_0(7, 2)=9).
fof(rqRealAdd__k2_xcmplx_0__r9_r0_r9, axiom, k2_xcmplx_0(9, 0)=9).
fof(rqRealAdd__k2_xcmplx_0__r9_r13_r22, axiom, k2_xcmplx_0(9, 13)=22).
fof(rqRealAdd__k2_xcmplx_0__r9_r4_r13, axiom, k2_xcmplx_0(9, 4)=13).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(0, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r13_r0, axiom, k3_xcmplx_0(0, 13)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r22_r0, axiom, k3_xcmplx_0(0, 22)=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_r4_r0, axiom, k3_xcmplx_0(0, 4)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r5_r0, axiom, k3_xcmplx_0(0, 5)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r7_r0, axiom, k3_xcmplx_0(0, 7)=0).
fof(rqRealMult__k3_xcmplx_0__r121_r1_r121, axiom, k3_xcmplx_0(121, 1)=121).
fof(rqRealMult__k3_xcmplx_0__r13_r0_r0, axiom, k3_xcmplx_0(13, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r13_r1_r13, axiom, k3_xcmplx_0(13, 1)=13).
fof(rqRealMult__k3_xcmplx_0__r13_r5_r65, axiom, k3_xcmplx_0(13, 5)=65).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r121_r121, axiom, k3_xcmplx_0(1, 121)=121).
fof(rqRealMult__k3_xcmplx_0__r1_r13_r13, axiom, k3_xcmplx_0(1, 13)=13).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r22_r22, axiom, k3_xcmplx_0(1, 22)=22).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r33_r33, axiom, k3_xcmplx_0(1, 33)=33).
fof(rqRealMult__k3_xcmplx_0__r1_r3_r3, axiom, k3_xcmplx_0(1, 3)=3).
fof(rqRealMult__k3_xcmplx_0__r1_r4_r4, axiom, k3_xcmplx_0(1, 4)=4).
fof(rqRealMult__k3_xcmplx_0__r1_r5_r5, axiom, k3_xcmplx_0(1, 5)=5).
fof(rqRealMult__k3_xcmplx_0__r1_r63_r63, axiom, k3_xcmplx_0(1, 63)=63).
fof(rqRealMult__k3_xcmplx_0__r1_r65_r65, axiom, k3_xcmplx_0(1, 65)=65).
fof(rqRealMult__k3_xcmplx_0__r1_r66_r66, axiom, k3_xcmplx_0(1, 66)=66).
fof(rqRealMult__k3_xcmplx_0__r1_r67_r67, axiom, k3_xcmplx_0(1, 67)=67).
fof(rqRealMult__k3_xcmplx_0__r1_r7_r7, axiom, k3_xcmplx_0(1, 7)=7).
fof(rqRealMult__k3_xcmplx_0__r1_r9_r9, axiom, k3_xcmplx_0(1, 9)=9).
fof(rqRealMult__k3_xcmplx_0__r22_r0_r0, axiom, k3_xcmplx_0(22, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r22_r1_r22, axiom, k3_xcmplx_0(22, 1)=22).
fof(rqRealMult__k3_xcmplx_0__r22_r3_r66, axiom, k3_xcmplx_0(22, 3)=66).
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_r2_r4, axiom, k3_xcmplx_0(2, 2)=4).
fof(rqRealMult__k3_xcmplx_0__r2_r33_r66, axiom, k3_xcmplx_0(2, 33)=66).
fof(rqRealMult__k3_xcmplx_0__r33_r1_r33, axiom, k3_xcmplx_0(33, 1)=33).
fof(rqRealMult__k3_xcmplx_0__r33_r2_r66, axiom, k3_xcmplx_0(33, 2)=66).
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_r22_r66, axiom, k3_xcmplx_0(3, 22)=66).
fof(rqRealMult__k3_xcmplx_0__r3_r3_r9, axiom, k3_xcmplx_0(3, 3)=9).
fof(rqRealMult__k3_xcmplx_0__r4_r0_r0, axiom, k3_xcmplx_0(4, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r4_r1_r4, axiom, k3_xcmplx_0(4, 1)=4).
fof(rqRealMult__k3_xcmplx_0__r5_r0_r0, axiom, k3_xcmplx_0(5, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r5_r13_r65, axiom, k3_xcmplx_0(5, 13)=65).
fof(rqRealMult__k3_xcmplx_0__r5_r1_r5, axiom, k3_xcmplx_0(5, 1)=5).
fof(rqRealMult__k3_xcmplx_0__r63_r1_r63, axiom, k3_xcmplx_0(63, 1)=63).
fof(rqRealMult__k3_xcmplx_0__r65_r1_r65, axiom, k3_xcmplx_0(65, 1)=65).
fof(rqRealMult__k3_xcmplx_0__r66_r1_r66, axiom, k3_xcmplx_0(66, 1)=66).
fof(rqRealMult__k3_xcmplx_0__r67_r1_r67, axiom, k3_xcmplx_0(67, 1)=67).
fof(rqRealMult__k3_xcmplx_0__r7_r0_r0, axiom, k3_xcmplx_0(7, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r7_r1_r7, axiom, k3_xcmplx_0(7, 1)=7).
fof(rqRealMult__k3_xcmplx_0__r7_r9_r63, axiom, k3_xcmplx_0(7, 9)=63).
fof(rqRealMult__k3_xcmplx_0__r9_r1_r9, axiom, k3_xcmplx_0(9, 1)=9).
fof(rqRealMult__k3_xcmplx_0__r9_r7_r63, axiom, k3_xcmplx_0(9, 7)=63).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc121_numerals, axiom,  (v2_xxreal_0(121) & m1_subset_1(121, k4_ordinal1)) ).
fof(spc13_numerals, axiom,  (v2_xxreal_0(13) & m1_subset_1(13, k4_ordinal1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc22_numerals, axiom,  (v2_xxreal_0(22) & m1_subset_1(22, k4_ordinal1)) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc33_numerals, axiom,  (v2_xxreal_0(33) & m1_subset_1(33, k4_ordinal1)) ).
fof(spc3_numerals, axiom,  (v2_xxreal_0(3) & m1_subset_1(3, k4_ordinal1)) ).
fof(spc4_numerals, axiom,  (v2_xxreal_0(4) & m1_subset_1(4, 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(spc63_numerals, axiom,  (v2_xxreal_0(63) & m1_subset_1(63, k4_ordinal1)) ).
fof(spc65_numerals, axiom,  (v2_xxreal_0(65) & m1_subset_1(65, k4_ordinal1)) ).
fof(spc66_numerals, axiom,  (v2_xxreal_0(66) & m1_subset_1(66, k4_ordinal1)) ).
fof(spc67_numerals, axiom,  (v2_xxreal_0(67) & m1_subset_1(67, 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(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(spc9_numerals, axiom,  (v2_xxreal_0(9) & m1_subset_1(9, 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))) ) ) ) ) ) ) ) ) ).
