% Mizar problem: t127_xprimes1,xprimes1,483,5 
fof(t127_xprimes1, conjecture, v1_int_2(127)).
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_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_r125, axiom, r1_xxreal_0(0, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r126, axiom, r1_xxreal_0(0, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r127, axiom, r1_xxreal_0(0, 127)).
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_r25, axiom, r1_xxreal_0(0, 25)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r3, axiom, r1_xxreal_0(0, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r42, axiom, r1_xxreal_0(0, 42)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r5, axiom, r1_xxreal_0(0, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r6, axiom, r1_xxreal_0(0, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r63, axiom, r1_xxreal_0(0, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r7, axiom, r1_xxreal_0(0, 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_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_r125, axiom, r1_xxreal_0(11, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r126, axiom, r1_xxreal_0(11, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r127, axiom, r1_xxreal_0(11, 127)).
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_r25, axiom, r1_xxreal_0(11, 25)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r3, axiom,  ~ (r1_xxreal_0(11, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r42, axiom, r1_xxreal_0(11, 42)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r5, axiom,  ~ (r1_xxreal_0(11, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r6, axiom,  ~ (r1_xxreal_0(11, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r63, axiom, r1_xxreal_0(11, 63)).
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_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_r125, axiom, r1_xxreal_0(121, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r121_r126, axiom, r1_xxreal_0(121, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r121_r127, axiom, r1_xxreal_0(121, 127)).
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_r3, axiom,  ~ (r1_xxreal_0(121, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r42, axiom,  ~ (r1_xxreal_0(121, 42)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r5, axiom,  ~ (r1_xxreal_0(121, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r6, axiom,  ~ (r1_xxreal_0(121, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r121_r7, axiom,  ~ (r1_xxreal_0(121, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r0, axiom,  ~ (r1_xxreal_0(125, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r1, axiom,  ~ (r1_xxreal_0(125, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r11, axiom,  ~ (r1_xxreal_0(125, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r121, axiom,  ~ (r1_xxreal_0(125, 121)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r125, axiom, r1_xxreal_0(125, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r125_r126, axiom, r1_xxreal_0(125, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r125_r127, axiom, r1_xxreal_0(125, 127)).
fof(rqLessOrEqual__r1_xxreal_0__r125_r169, axiom, r1_xxreal_0(125, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r125_r18, axiom,  ~ (r1_xxreal_0(125, 18)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r2, axiom,  ~ (r1_xxreal_0(125, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r25, axiom,  ~ (r1_xxreal_0(125, 25)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r3, axiom,  ~ (r1_xxreal_0(125, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r42, axiom,  ~ (r1_xxreal_0(125, 42)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r5, axiom,  ~ (r1_xxreal_0(125, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r6, axiom,  ~ (r1_xxreal_0(125, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r125_r7, axiom,  ~ (r1_xxreal_0(125, 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_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_r125, axiom,  ~ (r1_xxreal_0(126, 125)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r126, axiom, r1_xxreal_0(126, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r126_r127, axiom, r1_xxreal_0(126, 127)).
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_r25, axiom,  ~ (r1_xxreal_0(126, 25)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r3, axiom,  ~ (r1_xxreal_0(126, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r42, axiom,  ~ (r1_xxreal_0(126, 42)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r5, axiom,  ~ (r1_xxreal_0(126, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r6, axiom,  ~ (r1_xxreal_0(126, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r63, axiom,  ~ (r1_xxreal_0(126, 63)) ).
fof(rqLessOrEqual__r1_xxreal_0__r126_r7, axiom,  ~ (r1_xxreal_0(126, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r127_r0, axiom,  ~ (r1_xxreal_0(127, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r127_r1, axiom,  ~ (r1_xxreal_0(127, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r127_r11, axiom,  ~ (r1_xxreal_0(127, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r127_r121, axiom,  ~ (r1_xxreal_0(127, 121)) ).
fof(rqLessOrEqual__r1_xxreal_0__r127_r125, axiom,  ~ (r1_xxreal_0(127, 125)) ).
fof(rqLessOrEqual__r1_xxreal_0__r127_r126, axiom,  ~ (r1_xxreal_0(127, 126)) ).
fof(rqLessOrEqual__r1_xxreal_0__r127_r127, axiom, r1_xxreal_0(127, 127)).
fof(rqLessOrEqual__r1_xxreal_0__r127_r169, axiom, r1_xxreal_0(127, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r127_r18, axiom,  ~ (r1_xxreal_0(127, 18)) ).
fof(rqLessOrEqual__r1_xxreal_0__r127_r2, axiom,  ~ (r1_xxreal_0(127, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r127_r25, axiom,  ~ (r1_xxreal_0(127, 25)) ).
fof(rqLessOrEqual__r1_xxreal_0__r127_r3, axiom,  ~ (r1_xxreal_0(127, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r127_r42, axiom,  ~ (r1_xxreal_0(127, 42)) ).
fof(rqLessOrEqual__r1_xxreal_0__r127_r5, axiom,  ~ (r1_xxreal_0(127, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r127_r6, axiom,  ~ (r1_xxreal_0(127, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r127_r63, axiom,  ~ (r1_xxreal_0(127, 63)) ).
fof(rqLessOrEqual__r1_xxreal_0__r127_r7, axiom,  ~ (r1_xxreal_0(127, 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_r11, axiom,  ~ (r1_xxreal_0(169, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r169_r127, axiom,  ~ (r1_xxreal_0(169, 127)) ).
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_r42, axiom,  ~ (r1_xxreal_0(169, 42)) ).
fof(rqLessOrEqual__r1_xxreal_0__r169_r5, axiom,  ~ (r1_xxreal_0(169, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r169_r6, axiom,  ~ (r1_xxreal_0(169, 6)) ).
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_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_r125, axiom, r1_xxreal_0(18, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r18_r126, axiom, r1_xxreal_0(18, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r18_r127, axiom, r1_xxreal_0(18, 127)).
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_r25, axiom, r1_xxreal_0(18, 25)).
fof(rqLessOrEqual__r1_xxreal_0__r18_r3, axiom,  ~ (r1_xxreal_0(18, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r18_r42, axiom, r1_xxreal_0(18, 42)).
fof(rqLessOrEqual__r1_xxreal_0__r18_r5, axiom,  ~ (r1_xxreal_0(18, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r18_r6, axiom,  ~ (r1_xxreal_0(18, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r18_r63, axiom, r1_xxreal_0(18, 63)).
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_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_r125, axiom, r1_xxreal_0(1, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r126, axiom, r1_xxreal_0(1, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r127, axiom, r1_xxreal_0(1, 127)).
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_r25, axiom, r1_xxreal_0(1, 25)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom, r1_xxreal_0(1, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r42, axiom, r1_xxreal_0(1, 42)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r5, axiom, r1_xxreal_0(1, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r6, axiom, r1_xxreal_0(1, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r63, axiom, r1_xxreal_0(1, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r7, axiom, r1_xxreal_0(1, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r25_r0, axiom,  ~ (r1_xxreal_0(25, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r25_r1, axiom,  ~ (r1_xxreal_0(25, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r25_r11, axiom,  ~ (r1_xxreal_0(25, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r25_r121, axiom, r1_xxreal_0(25, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r25_r125, axiom, r1_xxreal_0(25, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r25_r126, axiom, r1_xxreal_0(25, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r25_r127, axiom, r1_xxreal_0(25, 127)).
fof(rqLessOrEqual__r1_xxreal_0__r25_r169, axiom, r1_xxreal_0(25, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r25_r18, axiom,  ~ (r1_xxreal_0(25, 18)) ).
fof(rqLessOrEqual__r1_xxreal_0__r25_r2, axiom,  ~ (r1_xxreal_0(25, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r25_r25, axiom, r1_xxreal_0(25, 25)).
fof(rqLessOrEqual__r1_xxreal_0__r25_r3, axiom,  ~ (r1_xxreal_0(25, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r25_r42, axiom, r1_xxreal_0(25, 42)).
fof(rqLessOrEqual__r1_xxreal_0__r25_r5, axiom,  ~ (r1_xxreal_0(25, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r25_r6, axiom,  ~ (r1_xxreal_0(25, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r25_r63, axiom, r1_xxreal_0(25, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r25_r7, axiom,  ~ (r1_xxreal_0(25, 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_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_r125, axiom, r1_xxreal_0(2, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r126, axiom, r1_xxreal_0(2, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r127, axiom, r1_xxreal_0(2, 127)).
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_r25, axiom, r1_xxreal_0(2, 25)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r3, axiom, r1_xxreal_0(2, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r42, axiom, r1_xxreal_0(2, 42)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r5, axiom, r1_xxreal_0(2, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r6, axiom, r1_xxreal_0(2, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r63, axiom, r1_xxreal_0(2, 63)).
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_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_r125, axiom, r1_xxreal_0(3, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r126, axiom, r1_xxreal_0(3, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r127, axiom, r1_xxreal_0(3, 127)).
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_r25, axiom, r1_xxreal_0(3, 25)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r3, axiom, r1_xxreal_0(3, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r42, axiom, r1_xxreal_0(3, 42)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r5, axiom, r1_xxreal_0(3, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r6, axiom, r1_xxreal_0(3, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r63, axiom, r1_xxreal_0(3, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r7, axiom, r1_xxreal_0(3, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r42_r0, axiom,  ~ (r1_xxreal_0(42, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r42_r1, axiom,  ~ (r1_xxreal_0(42, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r42_r11, axiom,  ~ (r1_xxreal_0(42, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r42_r121, axiom, r1_xxreal_0(42, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r42_r125, axiom, r1_xxreal_0(42, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r42_r126, axiom, r1_xxreal_0(42, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r42_r127, axiom, r1_xxreal_0(42, 127)).
fof(rqLessOrEqual__r1_xxreal_0__r42_r169, axiom, r1_xxreal_0(42, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r42_r18, axiom,  ~ (r1_xxreal_0(42, 18)) ).
fof(rqLessOrEqual__r1_xxreal_0__r42_r2, axiom,  ~ (r1_xxreal_0(42, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r42_r25, axiom,  ~ (r1_xxreal_0(42, 25)) ).
fof(rqLessOrEqual__r1_xxreal_0__r42_r3, axiom,  ~ (r1_xxreal_0(42, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r42_r42, axiom, r1_xxreal_0(42, 42)).
fof(rqLessOrEqual__r1_xxreal_0__r42_r5, axiom,  ~ (r1_xxreal_0(42, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r42_r6, axiom,  ~ (r1_xxreal_0(42, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r42_r63, axiom, r1_xxreal_0(42, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r42_r7, axiom,  ~ (r1_xxreal_0(42, 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_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_r125, axiom, r1_xxreal_0(5, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r126, axiom, r1_xxreal_0(5, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r127, axiom, r1_xxreal_0(5, 127)).
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_r25, axiom, r1_xxreal_0(5, 25)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r3, axiom,  ~ (r1_xxreal_0(5, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r42, axiom, r1_xxreal_0(5, 42)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r5, axiom, r1_xxreal_0(5, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r6, axiom, r1_xxreal_0(5, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r63, axiom, r1_xxreal_0(5, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r7, axiom, r1_xxreal_0(5, 7)).
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_r11, axiom,  ~ (r1_xxreal_0(63, 11)) ).
fof(rqLessOrEqual__r1_xxreal_0__r63_r121, axiom, r1_xxreal_0(63, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r63_r125, axiom, r1_xxreal_0(63, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r63_r126, axiom, r1_xxreal_0(63, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r63_r127, axiom, r1_xxreal_0(63, 127)).
fof(rqLessOrEqual__r1_xxreal_0__r63_r169, axiom, r1_xxreal_0(63, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r63_r2, axiom,  ~ (r1_xxreal_0(63, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r63_r3, axiom,  ~ (r1_xxreal_0(63, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r63_r5, axiom,  ~ (r1_xxreal_0(63, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r63_r6, axiom,  ~ (r1_xxreal_0(63, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r63_r63, axiom, r1_xxreal_0(63, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r63_r7, axiom,  ~ (r1_xxreal_0(63, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r0, axiom,  ~ (r1_xxreal_0(6, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r1, axiom,  ~ (r1_xxreal_0(6, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r11, axiom, r1_xxreal_0(6, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r121, axiom, r1_xxreal_0(6, 121)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r125, axiom, r1_xxreal_0(6, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r126, axiom, r1_xxreal_0(6, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r127, axiom, r1_xxreal_0(6, 127)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r169, axiom, r1_xxreal_0(6, 169)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r18, axiom, r1_xxreal_0(6, 18)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r2, axiom,  ~ (r1_xxreal_0(6, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r25, axiom, r1_xxreal_0(6, 25)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r3, axiom,  ~ (r1_xxreal_0(6, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r42, axiom, r1_xxreal_0(6, 42)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r5, axiom,  ~ (r1_xxreal_0(6, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r6, axiom, r1_xxreal_0(6, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r63, axiom, r1_xxreal_0(6, 63)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r7, axiom, r1_xxreal_0(6, 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_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_r125, axiom, r1_xxreal_0(7, 125)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r126, axiom, r1_xxreal_0(7, 126)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r127, axiom, r1_xxreal_0(7, 127)).
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_r25, axiom, r1_xxreal_0(7, 25)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r3, axiom,  ~ (r1_xxreal_0(7, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r42, axiom, r1_xxreal_0(7, 42)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r5, axiom,  ~ (r1_xxreal_0(7, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r6, axiom,  ~ (r1_xxreal_0(7, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r63, axiom, r1_xxreal_0(7, 63)).
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_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_r25_r25, axiom, k2_xcmplx_0(0, 25)=25).
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_r6_r6, axiom, k2_xcmplx_0(0, 6)=6).
fof(rqRealAdd__k2_xcmplx_0__r0_r7_r7, axiom, k2_xcmplx_0(0, 7)=7).
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_r6_r127, axiom, k2_xcmplx_0(121, 6)=127).
fof(rqRealAdd__k2_xcmplx_0__r125_r1_r126, axiom, k2_xcmplx_0(125, 1)=126).
fof(rqRealAdd__k2_xcmplx_0__r125_r2_r127, axiom, k2_xcmplx_0(125, 2)=127).
fof(rqRealAdd__k2_xcmplx_0__r126_r1_r127, axiom, k2_xcmplx_0(126, 1)=127).
fof(rqRealAdd__k2_xcmplx_0__r18_r7_r25, axiom, k2_xcmplx_0(18, 7)=25).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
fof(rqRealAdd__k2_xcmplx_0__r1_r125_r126, axiom, k2_xcmplx_0(1, 125)=126).
fof(rqRealAdd__k2_xcmplx_0__r1_r126_r127, axiom, k2_xcmplx_0(1, 126)=127).
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_r5_r6, axiom, k2_xcmplx_0(1, 5)=6).
fof(rqRealAdd__k2_xcmplx_0__r1_r6_r7, axiom, k2_xcmplx_0(1, 6)=7).
fof(rqRealAdd__k2_xcmplx_0__r25_r0_r25, axiom, k2_xcmplx_0(25, 0)=25).
fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom, k2_xcmplx_0(2, 0)=2).
fof(rqRealAdd__k2_xcmplx_0__r2_r125_r127, axiom, k2_xcmplx_0(2, 125)=127).
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_r2_r5, axiom, k2_xcmplx_0(3, 2)=5).
fof(rqRealAdd__k2_xcmplx_0__r3_r3_r6, axiom, k2_xcmplx_0(3, 3)=6).
fof(rqRealAdd__k2_xcmplx_0__r42_r127_r169, axiom, k2_xcmplx_0(42, 127)=169).
fof(rqRealAdd__k2_xcmplx_0__r5_r0_r5, axiom, k2_xcmplx_0(5, 0)=5).
fof(rqRealAdd__k2_xcmplx_0__r5_r1_r6, axiom, k2_xcmplx_0(5, 1)=6).
fof(rqRealAdd__k2_xcmplx_0__r5_r2_r7, axiom, k2_xcmplx_0(5, 2)=7).
fof(rqRealAdd__k2_xcmplx_0__r5_r6_r11, axiom, k2_xcmplx_0(5, 6)=11).
fof(rqRealAdd__k2_xcmplx_0__r63_r63_r126, axiom, k2_xcmplx_0(63, 63)=126).
fof(rqRealAdd__k2_xcmplx_0__r6_r0_r6, axiom, k2_xcmplx_0(6, 0)=6).
fof(rqRealAdd__k2_xcmplx_0__r6_r121_r127, axiom, k2_xcmplx_0(6, 121)=127).
fof(rqRealAdd__k2_xcmplx_0__r6_r1_r7, axiom, k2_xcmplx_0(6, 1)=7).
fof(rqRealAdd__k2_xcmplx_0__r6_r5_r11, axiom, k2_xcmplx_0(6, 5)=11).
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_r18_r25, axiom, k2_xcmplx_0(7, 18)=25).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(0, 0)=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_r25_r0, axiom, k3_xcmplx_0(0, 25)=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_r6_r0, axiom, k3_xcmplx_0(0, 6)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r7_r0, axiom, k3_xcmplx_0(0, 7)=0).
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__r125_r1_r125, axiom, k3_xcmplx_0(125, 1)=125).
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__r127_r1_r127, axiom, k3_xcmplx_0(127, 1)=127).
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_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_r125_r125, axiom, k3_xcmplx_0(1, 125)=125).
fof(rqRealMult__k3_xcmplx_0__r1_r126_r126, axiom, k3_xcmplx_0(1, 126)=126).
fof(rqRealMult__k3_xcmplx_0__r1_r127_r127, axiom, k3_xcmplx_0(1, 127)=127).
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_r25_r25, axiom, k3_xcmplx_0(1, 25)=25).
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_r42_r42, axiom, k3_xcmplx_0(1, 42)=42).
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_r6_r6, axiom, k3_xcmplx_0(1, 6)=6).
fof(rqRealMult__k3_xcmplx_0__r1_r7_r7, axiom, k3_xcmplx_0(1, 7)=7).
fof(rqRealMult__k3_xcmplx_0__r25_r0_r0, axiom, k3_xcmplx_0(25, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r25_r1_r25, axiom, k3_xcmplx_0(25, 1)=25).
fof(rqRealMult__k3_xcmplx_0__r25_r5_r125, axiom, k3_xcmplx_0(25, 5)=125).
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_r3_r6, axiom, k3_xcmplx_0(2, 3)=6).
fof(rqRealMult__k3_xcmplx_0__r2_r63_r126, axiom, k3_xcmplx_0(2, 63)=126).
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_r2_r6, axiom, k3_xcmplx_0(3, 2)=6).
fof(rqRealMult__k3_xcmplx_0__r3_r42_r126, axiom, k3_xcmplx_0(3, 42)=126).
fof(rqRealMult__k3_xcmplx_0__r3_r6_r18, axiom, k3_xcmplx_0(3, 6)=18).
fof(rqRealMult__k3_xcmplx_0__r42_r1_r42, axiom, k3_xcmplx_0(42, 1)=42).
fof(rqRealMult__k3_xcmplx_0__r42_r3_r126, axiom, k3_xcmplx_0(42, 3)=126).
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_r25_r125, axiom, k3_xcmplx_0(5, 25)=125).
fof(rqRealMult__k3_xcmplx_0__r5_r5_r25, axiom, k3_xcmplx_0(5, 5)=25).
fof(rqRealMult__k3_xcmplx_0__r63_r1_r63, axiom, k3_xcmplx_0(63, 1)=63).
fof(rqRealMult__k3_xcmplx_0__r63_r2_r126, axiom, k3_xcmplx_0(63, 2)=126).
fof(rqRealMult__k3_xcmplx_0__r6_r0_r0, axiom, k3_xcmplx_0(6, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r6_r1_r6, axiom, k3_xcmplx_0(6, 1)=6).
fof(rqRealMult__k3_xcmplx_0__r6_r3_r18, axiom, k3_xcmplx_0(6, 3)=18).
fof(rqRealMult__k3_xcmplx_0__r6_r7_r42, axiom, k3_xcmplx_0(6, 7)=42).
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(rqRealMult__k3_xcmplx_0__r7_r6_r42, axiom, k3_xcmplx_0(7, 6)=42).
fof(spc0_numerals, axiom, m1_subset_1(0, 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(spc125_numerals, axiom,  (v2_xxreal_0(125) & m1_subset_1(125, k4_ordinal1)) ).
fof(spc126_numerals, axiom,  (v2_xxreal_0(126) & m1_subset_1(126, k4_ordinal1)) ).
fof(spc127_numerals, axiom,  (v2_xxreal_0(127) & m1_subset_1(127, 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(spc25_numerals, axiom,  (v2_xxreal_0(25) & m1_subset_1(25, 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(spc42_numerals, axiom,  (v2_xxreal_0(42) & m1_subset_1(42, 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(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(spc6_numerals, axiom,  (v2_xxreal_0(6) & m1_subset_1(6, 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(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))) ) ) ) ) ) ) ) ) ).
