% Mizar problem: t131_xprimes1,xprimes1,500,5 
fof(t131_xprimes1, conjecture, v1_int_2(131)).
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_r11, axiom, r1_xxreal_0(0, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r121, axiom, r1_xxreal_0(0, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r126, axiom, r1_xxreal_0(0, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r129, axiom, r1_xxreal_0(0, 129)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r130, axiom, r1_xxreal_0(0, 130)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r131, axiom, r1_xxreal_0(0, 131)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r169, axiom, r1_xxreal_0(0, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r18, axiom, r1_xxreal_0(0, 18)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r2, axiom, r1_xxreal_0(0, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r26, axiom, r1_xxreal_0(0, 26)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r3, axiom, r1_xxreal_0(0, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r43, axiom, r1_xxreal_0(0, 43)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r5, axiom, r1_xxreal_0(0, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r65, axiom, r1_xxreal_0(0, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r7, axiom, r1_xxreal_0(0, 7)).
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_r11, axiom, r1_xxreal_0(10, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r121, axiom, r1_xxreal_0(10, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r126, axiom, r1_xxreal_0(10, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r129, axiom, r1_xxreal_0(10, 129)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r130, axiom, r1_xxreal_0(10, 130)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r131, axiom, r1_xxreal_0(10, 131)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r169, axiom, r1_xxreal_0(10, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r18, axiom, r1_xxreal_0(10, 18)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r2, axiom,  ~ (r1_xxreal_0(10, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r26, axiom, r1_xxreal_0(10, 26)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r3, axiom,  ~ (r1_xxreal_0(10, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r43, axiom, r1_xxreal_0(10, 43)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r5, axiom,  ~ (r1_xxreal_0(10, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r65, axiom, r1_xxreal_0(10, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r7, axiom,  ~ (r1_xxreal_0(10, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r0, axiom,  ~ (r1_xxreal_0(11, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r1, axiom,  ~ (r1_xxreal_0(11, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r10, axiom,  ~ (r1_xxreal_0(11, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r11, axiom, r1_xxreal_0(11, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r121, axiom, r1_xxreal_0(11, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r126, axiom, r1_xxreal_0(11, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r129, axiom, r1_xxreal_0(11, 129)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r130, axiom, r1_xxreal_0(11, 130)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r131, axiom, r1_xxreal_0(11, 131)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r169, axiom, r1_xxreal_0(11, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r18, axiom, r1_xxreal_0(11, 18)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r2, axiom,  ~ (r1_xxreal_0(11, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r26, axiom, r1_xxreal_0(11, 26)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r3, axiom,  ~ (r1_xxreal_0(11, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r43, axiom, r1_xxreal_0(11, 43)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r5, axiom,  ~ (r1_xxreal_0(11, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r65, axiom, r1_xxreal_0(11, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r7, axiom,  ~ (r1_xxreal_0(11, 7)) ).
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_r11, axiom,  ~ (r1_xxreal_0(121, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r121, axiom, r1_xxreal_0(121, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r121_r126, axiom, r1_xxreal_0(121, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r121_r129, axiom, r1_xxreal_0(121, 129)).
fof(rqLessOrEqual__r1_xxreal_0__r121_r130, axiom, r1_xxreal_0(121, 130)).
fof(rqLessOrEqual__r1_xxreal_0__r121_r131, axiom, r1_xxreal_0(121, 131)).
fof(rqLessOrEqual__r1_xxreal_0__r121_r169, axiom, r1_xxreal_0(121, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r121_r18, axiom,  ~ (r1_xxreal_0(121, 18)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r2, axiom,  ~ (r1_xxreal_0(121, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r26, axiom,  ~ (r1_xxreal_0(121, 26)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r3, axiom,  ~ (r1_xxreal_0(121, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r43, axiom,  ~ (r1_xxreal_0(121, 43)) ).
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__r126_r0, axiom,  ~ (r1_xxreal_0(126, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r1, axiom,  ~ (r1_xxreal_0(126, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r10, axiom,  ~ (r1_xxreal_0(126, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r11, axiom,  ~ (r1_xxreal_0(126, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r121, axiom,  ~ (r1_xxreal_0(126, 121)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r126, axiom, r1_xxreal_0(126, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r126_r129, axiom, r1_xxreal_0(126, 129)).
fof(rqLessOrEqual__r1_xxreal_0__r126_r130, axiom, r1_xxreal_0(126, 130)).
fof(rqLessOrEqual__r1_xxreal_0__r126_r131, axiom, r1_xxreal_0(126, 131)).
fof(rqLessOrEqual__r1_xxreal_0__r126_r169, axiom, r1_xxreal_0(126, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r126_r18, axiom,  ~ (r1_xxreal_0(126, 18)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r2, axiom,  ~ (r1_xxreal_0(126, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r3, axiom,  ~ (r1_xxreal_0(126, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r43, axiom,  ~ (r1_xxreal_0(126, 43)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r5, axiom,  ~ (r1_xxreal_0(126, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r65, axiom,  ~ (r1_xxreal_0(126, 65)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r7, axiom,  ~ (r1_xxreal_0(126, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r129_r0, axiom,  ~ (r1_xxreal_0(129, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r129_r1, axiom,  ~ (r1_xxreal_0(129, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r129_r10, axiom,  ~ (r1_xxreal_0(129, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r129_r11, axiom,  ~ (r1_xxreal_0(129, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r129_r129, axiom, r1_xxreal_0(129, 129)).
fof(rqLessOrEqual__r1_xxreal_0__r129_r130, axiom, r1_xxreal_0(129, 130)).
fof(rqLessOrEqual__r1_xxreal_0__r129_r131, axiom, r1_xxreal_0(129, 131)).
fof(rqLessOrEqual__r1_xxreal_0__r129_r169, axiom, r1_xxreal_0(129, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r129_r2, axiom,  ~ (r1_xxreal_0(129, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r129_r26, axiom,  ~ (r1_xxreal_0(129, 26)) ).
fof(rqLessOrEqual__r1_xxreal_0__r129_r3, axiom,  ~ (r1_xxreal_0(129, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r129_r43, axiom,  ~ (r1_xxreal_0(129, 43)) ).
fof(rqLessOrEqual__r1_xxreal_0__r129_r5, axiom,  ~ (r1_xxreal_0(129, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r129_r7, axiom,  ~ (r1_xxreal_0(129, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r130_r0, axiom,  ~ (r1_xxreal_0(130, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r130_r1, axiom,  ~ (r1_xxreal_0(130, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r130_r10, axiom,  ~ (r1_xxreal_0(130, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r130_r11, axiom,  ~ (r1_xxreal_0(130, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r130_r129, axiom,  ~ (r1_xxreal_0(130, 129)) ).
fof(rqLessOrEqual__r1_xxreal_0__r130_r130, axiom, r1_xxreal_0(130, 130)).
fof(rqLessOrEqual__r1_xxreal_0__r130_r131, axiom, r1_xxreal_0(130, 131)).
fof(rqLessOrEqual__r1_xxreal_0__r130_r169, axiom, r1_xxreal_0(130, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r130_r2, axiom,  ~ (r1_xxreal_0(130, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r130_r26, axiom,  ~ (r1_xxreal_0(130, 26)) ).
fof(rqLessOrEqual__r1_xxreal_0__r130_r3, axiom,  ~ (r1_xxreal_0(130, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r130_r43, axiom,  ~ (r1_xxreal_0(130, 43)) ).
fof(rqLessOrEqual__r1_xxreal_0__r130_r5, axiom,  ~ (r1_xxreal_0(130, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r130_r65, axiom,  ~ (r1_xxreal_0(130, 65)) ).
fof(rqLessOrEqual__r1_xxreal_0__r130_r7, axiom,  ~ (r1_xxreal_0(130, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r131_r0, axiom,  ~ (r1_xxreal_0(131, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r131_r1, axiom,  ~ (r1_xxreal_0(131, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r131_r10, axiom,  ~ (r1_xxreal_0(131, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r131_r11, axiom,  ~ (r1_xxreal_0(131, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r131_r121, axiom,  ~ (r1_xxreal_0(131, 121)) ).
fof(rqLessOrEqual__r1_xxreal_0__r131_r126, axiom,  ~ (r1_xxreal_0(131, 126)) ).
fof(rqLessOrEqual__r1_xxreal_0__r131_r129, axiom,  ~ (r1_xxreal_0(131, 129)) ).
fof(rqLessOrEqual__r1_xxreal_0__r131_r130, axiom,  ~ (r1_xxreal_0(131, 130)) ).
fof(rqLessOrEqual__r1_xxreal_0__r131_r131, axiom, r1_xxreal_0(131, 131)).
fof(rqLessOrEqual__r1_xxreal_0__r131_r169, axiom, r1_xxreal_0(131, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r131_r18, axiom,  ~ (r1_xxreal_0(131, 18)) ).
fof(rqLessOrEqual__r1_xxreal_0__r131_r2, axiom,  ~ (r1_xxreal_0(131, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r131_r26, axiom,  ~ (r1_xxreal_0(131, 26)) ).
fof(rqLessOrEqual__r1_xxreal_0__r131_r3, axiom,  ~ (r1_xxreal_0(131, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r131_r43, axiom,  ~ (r1_xxreal_0(131, 43)) ).
fof(rqLessOrEqual__r1_xxreal_0__r131_r5, axiom,  ~ (r1_xxreal_0(131, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r131_r65, axiom,  ~ (r1_xxreal_0(131, 65)) ).
fof(rqLessOrEqual__r1_xxreal_0__r131_r7, axiom,  ~ (r1_xxreal_0(131, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r169_r0, axiom,  ~ (r1_xxreal_0(169, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r169_r1, axiom,  ~ (r1_xxreal_0(169, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r169_r10, axiom,  ~ (r1_xxreal_0(169, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r169_r11, axiom,  ~ (r1_xxreal_0(169, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r169_r131, axiom,  ~ (r1_xxreal_0(169, 131)) ).
fof(rqLessOrEqual__r1_xxreal_0__r169_r169, axiom, r1_xxreal_0(169, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r169_r18, axiom,  ~ (r1_xxreal_0(169, 18)) ).
fof(rqLessOrEqual__r1_xxreal_0__r169_r2, axiom,  ~ (r1_xxreal_0(169, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r169_r3, axiom,  ~ (r1_xxreal_0(169, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r169_r43, axiom,  ~ (r1_xxreal_0(169, 43)) ).
fof(rqLessOrEqual__r1_xxreal_0__r169_r5, axiom,  ~ (r1_xxreal_0(169, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r169_r7, axiom,  ~ (r1_xxreal_0(169, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r18_r0, axiom,  ~ (r1_xxreal_0(18, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r18_r1, axiom,  ~ (r1_xxreal_0(18, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r18_r10, axiom,  ~ (r1_xxreal_0(18, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r18_r11, axiom,  ~ (r1_xxreal_0(18, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r18_r121, axiom, r1_xxreal_0(18, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r18_r126, axiom, r1_xxreal_0(18, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r18_r129, axiom, r1_xxreal_0(18, 129)).
fof(rqLessOrEqual__r1_xxreal_0__r18_r130, axiom, r1_xxreal_0(18, 130)).
fof(rqLessOrEqual__r1_xxreal_0__r18_r131, axiom, r1_xxreal_0(18, 131)).
fof(rqLessOrEqual__r1_xxreal_0__r18_r169, axiom, r1_xxreal_0(18, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r18_r18, axiom, r1_xxreal_0(18, 18)).
fof(rqLessOrEqual__r1_xxreal_0__r18_r2, axiom,  ~ (r1_xxreal_0(18, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r18_r26, axiom, r1_xxreal_0(18, 26)).
fof(rqLessOrEqual__r1_xxreal_0__r18_r3, axiom,  ~ (r1_xxreal_0(18, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r18_r43, axiom, r1_xxreal_0(18, 43)).
fof(rqLessOrEqual__r1_xxreal_0__r18_r5, axiom,  ~ (r1_xxreal_0(18, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r18_r65, axiom, r1_xxreal_0(18, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r18_r7, axiom,  ~ (r1_xxreal_0(18, 7)) ).
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_r11, axiom, r1_xxreal_0(1, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r121, axiom, r1_xxreal_0(1, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r126, axiom, r1_xxreal_0(1, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r129, axiom, r1_xxreal_0(1, 129)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r130, axiom, r1_xxreal_0(1, 130)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r131, axiom, r1_xxreal_0(1, 131)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r169, axiom, r1_xxreal_0(1, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r18, axiom, r1_xxreal_0(1, 18)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(1, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r26, axiom, r1_xxreal_0(1, 26)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom, r1_xxreal_0(1, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r43, axiom, r1_xxreal_0(1, 43)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r5, axiom, r1_xxreal_0(1, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r65, axiom, r1_xxreal_0(1, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r7, axiom, r1_xxreal_0(1, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r26_r0, axiom,  ~ (r1_xxreal_0(26, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r26_r1, axiom,  ~ (r1_xxreal_0(26, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r26_r10, axiom,  ~ (r1_xxreal_0(26, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r26_r11, axiom,  ~ (r1_xxreal_0(26, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r26_r121, axiom, r1_xxreal_0(26, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r26_r126, axiom, r1_xxreal_0(26, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r26_r129, axiom, r1_xxreal_0(26, 129)).
fof(rqLessOrEqual__r1_xxreal_0__r26_r130, axiom, r1_xxreal_0(26, 130)).
fof(rqLessOrEqual__r1_xxreal_0__r26_r131, axiom, r1_xxreal_0(26, 131)).
fof(rqLessOrEqual__r1_xxreal_0__r26_r169, axiom, r1_xxreal_0(26, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r26_r18, axiom,  ~ (r1_xxreal_0(26, 18)) ).
fof(rqLessOrEqual__r1_xxreal_0__r26_r2, axiom,  ~ (r1_xxreal_0(26, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r26_r26, axiom, r1_xxreal_0(26, 26)).
fof(rqLessOrEqual__r1_xxreal_0__r26_r3, axiom,  ~ (r1_xxreal_0(26, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r26_r43, axiom, r1_xxreal_0(26, 43)).
fof(rqLessOrEqual__r1_xxreal_0__r26_r5, axiom,  ~ (r1_xxreal_0(26, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r26_r65, axiom, r1_xxreal_0(26, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r26_r7, axiom,  ~ (r1_xxreal_0(26, 7)) ).
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_r11, axiom, r1_xxreal_0(2, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r121, axiom, r1_xxreal_0(2, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r126, axiom, r1_xxreal_0(2, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r129, axiom, r1_xxreal_0(2, 129)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r130, axiom, r1_xxreal_0(2, 130)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r131, axiom, r1_xxreal_0(2, 131)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r169, axiom, r1_xxreal_0(2, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r18, axiom, r1_xxreal_0(2, 18)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom, r1_xxreal_0(2, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r26, axiom, r1_xxreal_0(2, 26)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r3, axiom, r1_xxreal_0(2, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r43, axiom, r1_xxreal_0(2, 43)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r5, axiom, r1_xxreal_0(2, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r65, axiom, r1_xxreal_0(2, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r7, axiom, r1_xxreal_0(2, 7)).
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_r11, axiom, r1_xxreal_0(3, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r121, axiom, r1_xxreal_0(3, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r126, axiom, r1_xxreal_0(3, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r129, axiom, r1_xxreal_0(3, 129)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r130, axiom, r1_xxreal_0(3, 130)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r131, axiom, r1_xxreal_0(3, 131)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r169, axiom, r1_xxreal_0(3, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r18, axiom, r1_xxreal_0(3, 18)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r2, axiom,  ~ (r1_xxreal_0(3, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r26, axiom, r1_xxreal_0(3, 26)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r3, axiom, r1_xxreal_0(3, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r43, axiom, r1_xxreal_0(3, 43)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r5, axiom, r1_xxreal_0(3, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r65, axiom, r1_xxreal_0(3, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r7, axiom, r1_xxreal_0(3, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r43_r0, axiom,  ~ (r1_xxreal_0(43, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r43_r1, axiom,  ~ (r1_xxreal_0(43, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r43_r10, axiom,  ~ (r1_xxreal_0(43, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r43_r11, axiom,  ~ (r1_xxreal_0(43, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r43_r121, axiom, r1_xxreal_0(43, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r43_r126, axiom, r1_xxreal_0(43, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r43_r129, axiom, r1_xxreal_0(43, 129)).
fof(rqLessOrEqual__r1_xxreal_0__r43_r130, axiom, r1_xxreal_0(43, 130)).
fof(rqLessOrEqual__r1_xxreal_0__r43_r131, axiom, r1_xxreal_0(43, 131)).
fof(rqLessOrEqual__r1_xxreal_0__r43_r169, axiom, r1_xxreal_0(43, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r43_r18, axiom,  ~ (r1_xxreal_0(43, 18)) ).
fof(rqLessOrEqual__r1_xxreal_0__r43_r2, axiom,  ~ (r1_xxreal_0(43, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r43_r26, axiom,  ~ (r1_xxreal_0(43, 26)) ).
fof(rqLessOrEqual__r1_xxreal_0__r43_r3, axiom,  ~ (r1_xxreal_0(43, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r43_r43, axiom, r1_xxreal_0(43, 43)).
fof(rqLessOrEqual__r1_xxreal_0__r43_r5, axiom,  ~ (r1_xxreal_0(43, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r43_r65, axiom, r1_xxreal_0(43, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r43_r7, axiom,  ~ (r1_xxreal_0(43, 7)) ).
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_r11, axiom, r1_xxreal_0(5, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r121, axiom, r1_xxreal_0(5, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r126, axiom, r1_xxreal_0(5, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r129, axiom, r1_xxreal_0(5, 129)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r130, axiom, r1_xxreal_0(5, 130)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r131, axiom, r1_xxreal_0(5, 131)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r169, axiom, r1_xxreal_0(5, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r18, axiom, r1_xxreal_0(5, 18)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r2, axiom,  ~ (r1_xxreal_0(5, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r26, axiom, r1_xxreal_0(5, 26)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r3, axiom,  ~ (r1_xxreal_0(5, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r43, axiom, r1_xxreal_0(5, 43)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r5, axiom, r1_xxreal_0(5, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r65, axiom, r1_xxreal_0(5, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r7, axiom, r1_xxreal_0(5, 7)).
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_r10, axiom,  ~ (r1_xxreal_0(65, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r65_r11, axiom,  ~ (r1_xxreal_0(65, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r65_r121, axiom, r1_xxreal_0(65, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r65_r126, axiom, r1_xxreal_0(65, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r65_r129, axiom, r1_xxreal_0(65, 129)).
fof(rqLessOrEqual__r1_xxreal_0__r65_r130, axiom, r1_xxreal_0(65, 130)).
fof(rqLessOrEqual__r1_xxreal_0__r65_r131, axiom, r1_xxreal_0(65, 131)).
fof(rqLessOrEqual__r1_xxreal_0__r65_r169, axiom, r1_xxreal_0(65, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r65_r18, axiom,  ~ (r1_xxreal_0(65, 18)) ).
fof(rqLessOrEqual__r1_xxreal_0__r65_r2, axiom,  ~ (r1_xxreal_0(65, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r65_r3, axiom,  ~ (r1_xxreal_0(65, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r65_r43, axiom,  ~ (r1_xxreal_0(65, 43)) ).
fof(rqLessOrEqual__r1_xxreal_0__r65_r5, axiom,  ~ (r1_xxreal_0(65, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r65_r65, axiom, r1_xxreal_0(65, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r65_r7, axiom,  ~ (r1_xxreal_0(65, 7)) ).
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_r11, axiom, r1_xxreal_0(7, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r121, axiom, r1_xxreal_0(7, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r126, axiom, r1_xxreal_0(7, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r129, axiom, r1_xxreal_0(7, 129)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r130, axiom, r1_xxreal_0(7, 130)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r131, axiom, r1_xxreal_0(7, 131)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r169, axiom, r1_xxreal_0(7, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r18, axiom, r1_xxreal_0(7, 18)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r2, axiom,  ~ (r1_xxreal_0(7, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r26, axiom, r1_xxreal_0(7, 26)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r3, axiom,  ~ (r1_xxreal_0(7, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r43, axiom, r1_xxreal_0(7, 43)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r5, axiom,  ~ (r1_xxreal_0(7, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r65, axiom, r1_xxreal_0(7, 65)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r7, axiom, r1_xxreal_0(7, 7)).
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_r11_r11, axiom, k2_xcmplx_0(0, 11)=11).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(0, 1)=1).
fof(rqRealAdd__k2_xcmplx_0__r0_r26_r26, axiom, k2_xcmplx_0(0, 26)=26).
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_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__r10_r0_r10, axiom, k2_xcmplx_0(10, 0)=10).
fof(rqRealAdd__k2_xcmplx_0__r10_r121_r131, axiom, k2_xcmplx_0(10, 121)=131).
fof(rqRealAdd__k2_xcmplx_0__r10_r1_r11, axiom, k2_xcmplx_0(10, 1)=11).
fof(rqRealAdd__k2_xcmplx_0__r11_r0_r11, axiom, k2_xcmplx_0(11, 0)=11).
fof(rqRealAdd__k2_xcmplx_0__r11_r7_r18, axiom, k2_xcmplx_0(11, 7)=18).
fof(rqRealAdd__k2_xcmplx_0__r121_r10_r131, axiom, k2_xcmplx_0(121, 10)=131).
fof(rqRealAdd__k2_xcmplx_0__r126_r5_r131, axiom, k2_xcmplx_0(126, 5)=131).
fof(rqRealAdd__k2_xcmplx_0__r129_r1_r130, axiom, k2_xcmplx_0(129, 1)=130).
fof(rqRealAdd__k2_xcmplx_0__r129_r2_r131, axiom, k2_xcmplx_0(129, 2)=131).
fof(rqRealAdd__k2_xcmplx_0__r130_r1_r131, axiom, k2_xcmplx_0(130, 1)=131).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
fof(rqRealAdd__k2_xcmplx_0__r1_r10_r11, axiom, k2_xcmplx_0(1, 10)=11).
fof(rqRealAdd__k2_xcmplx_0__r1_r129_r130, axiom, k2_xcmplx_0(1, 129)=130).
fof(rqRealAdd__k2_xcmplx_0__r1_r130_r131, axiom, k2_xcmplx_0(1, 130)=131).
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__r26_r0_r26, axiom, k2_xcmplx_0(26, 0)=26).
fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom, k2_xcmplx_0(2, 0)=2).
fof(rqRealAdd__k2_xcmplx_0__r2_r129_r131, axiom, k2_xcmplx_0(2, 129)=131).
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__r3_r0_r3, axiom, k2_xcmplx_0(3, 0)=3).
fof(rqRealAdd__k2_xcmplx_0__r3_r126_r129, axiom, k2_xcmplx_0(3, 126)=129).
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_r126_r131, axiom, k2_xcmplx_0(5, 126)=131).
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__r65_r0_r65, axiom, k2_xcmplx_0(65, 0)=65).
fof(rqRealAdd__k2_xcmplx_0__r7_r0_r7, axiom, k2_xcmplx_0(7, 0)=7).
fof(rqRealAdd__k2_xcmplx_0__r7_r11_r18, axiom, k2_xcmplx_0(7, 11)=18).
fof(rqRealAdd__k2_xcmplx_0__r7_r3_r10, axiom, k2_xcmplx_0(7, 3)=10).
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_r11_r0, axiom, k3_xcmplx_0(0, 11)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r126_r0, axiom, k3_xcmplx_0(0, 126)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r18_r0, axiom, k3_xcmplx_0(0, 18)=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_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_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__r11_r0_r0, axiom, k3_xcmplx_0(11, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r11_r11_r121, axiom, k3_xcmplx_0(11, 11)=121).
fof(rqRealMult__k3_xcmplx_0__r11_r1_r11, axiom, k3_xcmplx_0(11, 1)=11).
fof(rqRealMult__k3_xcmplx_0__r121_r1_r121, axiom, k3_xcmplx_0(121, 1)=121).
fof(rqRealMult__k3_xcmplx_0__r126_r0_r0, axiom, k3_xcmplx_0(126, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r126_r1_r126, axiom, k3_xcmplx_0(126, 1)=126).
fof(rqRealMult__k3_xcmplx_0__r129_r1_r129, axiom, k3_xcmplx_0(129, 1)=129).
fof(rqRealMult__k3_xcmplx_0__r130_r1_r130, axiom, k3_xcmplx_0(130, 1)=130).
fof(rqRealMult__k3_xcmplx_0__r131_r1_r131, axiom, k3_xcmplx_0(131, 1)=131).
fof(rqRealMult__k3_xcmplx_0__r18_r0_r0, axiom, k3_xcmplx_0(18, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r18_r1_r18, axiom, k3_xcmplx_0(18, 1)=18).
fof(rqRealMult__k3_xcmplx_0__r18_r7_r126, axiom, k3_xcmplx_0(18, 7)=126).
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_r11_r11, axiom, k3_xcmplx_0(1, 11)=11).
fof(rqRealMult__k3_xcmplx_0__r1_r121_r121, axiom, k3_xcmplx_0(1, 121)=121).
fof(rqRealMult__k3_xcmplx_0__r1_r126_r126, axiom, k3_xcmplx_0(1, 126)=126).
fof(rqRealMult__k3_xcmplx_0__r1_r129_r129, axiom, k3_xcmplx_0(1, 129)=129).
fof(rqRealMult__k3_xcmplx_0__r1_r130_r130, axiom, k3_xcmplx_0(1, 130)=130).
fof(rqRealMult__k3_xcmplx_0__r1_r131_r131, axiom, k3_xcmplx_0(1, 131)=131).
fof(rqRealMult__k3_xcmplx_0__r1_r169_r169, axiom, k3_xcmplx_0(1, 169)=169).
fof(rqRealMult__k3_xcmplx_0__r1_r18_r18, axiom, k3_xcmplx_0(1, 18)=18).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r26_r26, axiom, k3_xcmplx_0(1, 26)=26).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r3_r3, axiom, k3_xcmplx_0(1, 3)=3).
fof(rqRealMult__k3_xcmplx_0__r1_r43_r43, axiom, k3_xcmplx_0(1, 43)=43).
fof(rqRealMult__k3_xcmplx_0__r1_r5_r5, axiom, k3_xcmplx_0(1, 5)=5).
fof(rqRealMult__k3_xcmplx_0__r1_r65_r65, axiom, k3_xcmplx_0(1, 65)=65).
fof(rqRealMult__k3_xcmplx_0__r1_r7_r7, axiom, k3_xcmplx_0(1, 7)=7).
fof(rqRealMult__k3_xcmplx_0__r26_r1_r26, axiom, k3_xcmplx_0(26, 1)=26).
fof(rqRealMult__k3_xcmplx_0__r26_r5_r130, axiom, k3_xcmplx_0(26, 5)=130).
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_r5_r10, axiom, k3_xcmplx_0(2, 5)=10).
fof(rqRealMult__k3_xcmplx_0__r2_r65_r130, axiom, k3_xcmplx_0(2, 65)=130).
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_r43_r129, axiom, k3_xcmplx_0(3, 43)=129).
fof(rqRealMult__k3_xcmplx_0__r43_r1_r43, axiom, k3_xcmplx_0(43, 1)=43).
fof(rqRealMult__k3_xcmplx_0__r43_r3_r129, axiom, k3_xcmplx_0(43, 3)=129).
fof(rqRealMult__k3_xcmplx_0__r5_r0_r0, axiom, k3_xcmplx_0(5, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r5_r1_r5, axiom, k3_xcmplx_0(5, 1)=5).
fof(rqRealMult__k3_xcmplx_0__r5_r26_r130, axiom, k3_xcmplx_0(5, 26)=130).
fof(rqRealMult__k3_xcmplx_0__r5_r2_r10, axiom, k3_xcmplx_0(5, 2)=10).
fof(rqRealMult__k3_xcmplx_0__r65_r1_r65, axiom, k3_xcmplx_0(65, 1)=65).
fof(rqRealMult__k3_xcmplx_0__r65_r2_r130, axiom, k3_xcmplx_0(65, 2)=130).
fof(rqRealMult__k3_xcmplx_0__r7_r0_r0, axiom, k3_xcmplx_0(7, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r7_r18_r126, axiom, k3_xcmplx_0(7, 18)=126).
fof(rqRealMult__k3_xcmplx_0__r7_r1_r7, axiom, k3_xcmplx_0(7, 1)=7).
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(spc11_numerals, axiom,  (v2_xxreal_0(11) & m1_subset_1(11, k4_ordinal1)) ).
fof(spc121_numerals, axiom,  (v2_xxreal_0(121) & m1_subset_1(121, k4_ordinal1)) ).
fof(spc126_numerals, axiom,  (v2_xxreal_0(126) & m1_subset_1(126, k4_ordinal1)) ).
fof(spc129_numerals, axiom,  (v2_xxreal_0(129) & m1_subset_1(129, k4_ordinal1)) ).
fof(spc130_numerals, axiom,  (v2_xxreal_0(130) & m1_subset_1(130, k4_ordinal1)) ).
fof(spc131_numerals, axiom,  (v2_xxreal_0(131) & m1_subset_1(131, k4_ordinal1)) ).
fof(spc169_numerals, axiom,  (v2_xxreal_0(169) & m1_subset_1(169, k4_ordinal1)) ).
fof(spc18_numerals, axiom,  (v2_xxreal_0(18) & m1_subset_1(18, k4_ordinal1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc26_numerals, axiom,  (v2_xxreal_0(26) & m1_subset_1(26, k4_ordinal1)) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc3_numerals, axiom,  (v2_xxreal_0(3) & m1_subset_1(3, k4_ordinal1)) ).
fof(spc43_numerals, axiom,  (v2_xxreal_0(43) & m1_subset_1(43, 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(spc65_numerals, axiom,  (v2_xxreal_0(65) & m1_subset_1(65, 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(t10_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(169, A))  &  ( ~ (B=2)  &  ( ~ (B=3)  &  ( ~ (B=5)  &  ( ~ (B=7)  &  ~ (B=11) ) ) ) ) ) ) ) ) ) ) ) ).
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(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))) ) ) ) ) ) ) ) ) ).
