% Mizar problem: t1010_xprimes0,xprimes0,7079,7 
fof(t1010_xprimes0, conjecture,  ~ (v1_int_2(1010)) ).
fof(cc10_membered, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_int_1(B)) ) ) ) ).
fof(cc11_membered, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v7_ordinal1(B)) ) ) ) ).
fof(cc1_membered, axiom,  (! [A] :  (v6_membered(A) => v5_membered(A)) ) ).
fof(cc2_membered, axiom,  (! [A] :  (v5_membered(A) => v4_membered(A)) ) ).
fof(cc3_membered, axiom,  (! [A] :  (v4_membered(A) => v3_membered(A)) ) ).
fof(cc4_membered, axiom,  (! [A] :  (v3_membered(A) => v2_membered(A)) ) ).
fof(cc5_membered, axiom,  (! [A] :  (v3_membered(A) => v1_membered(A)) ) ).
fof(cc6_membered, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xcmplx_0(B)) ) ) ) ).
fof(cc7_membered, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xxreal_0(B)) ) ) ) ).
fof(cc8_membered, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_xreal_0(B)) ) ) ) ).
fof(cc9_membered, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_rat_1(B)) ) ) ) ).
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(d3_nat_d, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r1_nat_d(A, B) <=>  (? [C] :  (v7_ordinal1(C) & B=k3_xcmplx_0(A, C)) ) ) ) ) ) ) ).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_xcmplx_0, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc59_membered, axiom, v7_membered(k4_ordinal1)).
fof(fc6_membered, axiom, v6_membered(k4_ordinal1)).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
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(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(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, k6_xcmplx_0(0, 0)=0).
fof(rqRealDiff__k6_xcmplx_0__r0_r1008_rm1008, axiom, k6_xcmplx_0(0, 1008)=k4_xcmplx_0(1008)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1010_rm1010, axiom, k6_xcmplx_0(0, 1010)=k4_xcmplx_0(1010)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_r504_rm504, axiom, k6_xcmplx_0(0, 504)=k4_xcmplx_0(504)).
fof(rqRealDiff__k6_xcmplx_0__r0_r505_rm505, axiom, k6_xcmplx_0(0, 505)=k4_xcmplx_0(505)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom, k6_xcmplx_0(0, k4_xcmplx_0(2))=2).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r1008_r0_r1008, axiom, k6_xcmplx_0(1008, 0)=1008).
fof(rqRealDiff__k6_xcmplx_0__r1008_r1008_r0, axiom, k6_xcmplx_0(1008, 1008)=0).
fof(rqRealDiff__k6_xcmplx_0__r1008_r504_r504, axiom, k6_xcmplx_0(1008, 504)=504).
fof(rqRealDiff__k6_xcmplx_0__r1010_r0_r1010, axiom, k6_xcmplx_0(1010, 0)=1010).
fof(rqRealDiff__k6_xcmplx_0__r1010_r1008_r2, axiom, k6_xcmplx_0(1010, 1008)=2).
fof(rqRealDiff__k6_xcmplx_0__r1010_r1_r1009, axiom, k6_xcmplx_0(1010, 1)=1009).
fof(rqRealDiff__k6_xcmplx_0__r1010_r2_r1008, axiom, k6_xcmplx_0(1010, 2)=1008).
fof(rqRealDiff__k6_xcmplx_0__r1010_r505_r505, axiom, k6_xcmplx_0(1010, 505)=505).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1010_rm1009, axiom, k6_xcmplx_0(1, 1010)=k4_xcmplx_0(1009)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_r504_rm503, axiom, k6_xcmplx_0(1, 504)=k4_xcmplx_0(503)).
fof(rqRealDiff__k6_xcmplx_0__r1_r505_rm504, axiom, k6_xcmplx_0(1, 505)=k4_xcmplx_0(504)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom, k6_xcmplx_0(2, 0)=2).
fof(rqRealDiff__k6_xcmplx_0__r2_r1010_rm1008, axiom, k6_xcmplx_0(2, 1010)=k4_xcmplx_0(1008)).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(2, 1)=1).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__r2_r505_rm503, axiom, k6_xcmplx_0(2, 505)=k4_xcmplx_0(503)).
fof(rqRealDiff__k6_xcmplx_0__r503_r0_r503, axiom, k6_xcmplx_0(503, 0)=503).
fof(rqRealDiff__k6_xcmplx_0__r503_r503_r0, axiom, k6_xcmplx_0(503, 503)=0).
fof(rqRealDiff__k6_xcmplx_0__r504_r0_r504, axiom, k6_xcmplx_0(504, 0)=504).
fof(rqRealDiff__k6_xcmplx_0__r504_r1_r503, axiom, k6_xcmplx_0(504, 1)=503).
fof(rqRealDiff__k6_xcmplx_0__r504_rm504_r1008, axiom, k6_xcmplx_0(504, k4_xcmplx_0(504))=1008).
fof(rqRealDiff__k6_xcmplx_0__r505_r0_r505, axiom, k6_xcmplx_0(505, 0)=505).
fof(rqRealDiff__k6_xcmplx_0__r505_r1_r504, axiom, k6_xcmplx_0(505, 1)=504).
fof(rqRealDiff__k6_xcmplx_0__r505_r2_r503, axiom, k6_xcmplx_0(505, 2)=503).
fof(rqRealDiff__k6_xcmplx_0__r505_r504_r1, axiom, k6_xcmplx_0(505, 504)=1).
fof(rqRealDiff__k6_xcmplx_0__rm1008_rm1008_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1008), k4_xcmplx_0(1008))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1009_rm1_rm1008, axiom, k6_xcmplx_0(k4_xcmplx_0(1009), k4_xcmplx_0(1))=k4_xcmplx_0(1008)).
fof(rqRealDiff__k6_xcmplx_0__rm1010_rm1010_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1010), k4_xcmplx_0(1010))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r1008_rm1009, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 1008)=k4_xcmplx_0(1009)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1010_r1009, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1010))=1009).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=1).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm504_r503, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(504))=503).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm505_r504, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(505))=504).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=0).
fof(rqRealDiff__k6_xcmplx_0__rm503_rm503_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(503), k4_xcmplx_0(503))=0).
fof(rqRealDiff__k6_xcmplx_0__rm504_r0_rm504, axiom, k6_xcmplx_0(k4_xcmplx_0(504), 0)=k4_xcmplx_0(504)).
fof(rqRealDiff__k6_xcmplx_0__rm504_r1_rm505, axiom, k6_xcmplx_0(k4_xcmplx_0(504), 1)=k4_xcmplx_0(505)).
fof(rqRealDiff__k6_xcmplx_0__rm504_r504_rm1008, axiom, k6_xcmplx_0(k4_xcmplx_0(504), 504)=k4_xcmplx_0(1008)).
fof(rqRealDiff__k6_xcmplx_0__rm504_rm1_rm503, axiom, k6_xcmplx_0(k4_xcmplx_0(504), k4_xcmplx_0(1))=k4_xcmplx_0(503)).
fof(rqRealDiff__k6_xcmplx_0__rm504_rm504_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(504), k4_xcmplx_0(504))=0).
fof(rqRealDiff__k6_xcmplx_0__rm505_rm504_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(505), k4_xcmplx_0(504))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm505_rm505_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(505), k4_xcmplx_0(505))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 0)=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(1))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2, axiom, k7_xcmplx_0(1, 2)=k7_xcmplx_0(1, 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm1_rm1, axiom, k7_xcmplx_0(1, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2, axiom, k7_xcmplx_0(1, k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm503_rnm1d503, axiom, k7_xcmplx_0(1, k4_xcmplx_0(503))=k7_xcmplx_0(k4_xcmplx_0(1), 503)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 2))=2).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(2)).
fof(rqRealDiv__k7_xcmplx_0__r2_r1_r2, axiom, k7_xcmplx_0(2, 1)=2).
fof(rqRealDiv__k7_xcmplx_0__r2_r2_r1, axiom, k7_xcmplx_0(2, 2)=1).
fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 2)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiv__k7_xcmplx_0__rm2_r2_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(2), 2)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(0, 0)=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_r504_r0, axiom, k3_xcmplx_0(0, 504)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r505_r0, axiom, k3_xcmplx_0(0, 505)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rm2_r0, axiom, k3_xcmplx_0(0, k4_xcmplx_0(2))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d2_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 2))=0).
fof(rqRealMult__k3_xcmplx_0__r1008_r1_r1008, axiom, k3_xcmplx_0(1008, 1)=1008).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r1008_r1008, axiom, k3_xcmplx_0(1, 1008)=1008).
fof(rqRealMult__k3_xcmplx_0__r1_r1010_r1010, axiom, k3_xcmplx_0(1, 1010)=1010).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r503_r503, axiom, k3_xcmplx_0(1, 503)=503).
fof(rqRealMult__k3_xcmplx_0__r1_r504_r504, axiom, k3_xcmplx_0(1, 504)=504).
fof(rqRealMult__k3_xcmplx_0__r1_r505_r505, axiom, k3_xcmplx_0(1, 505)=505).
fof(rqRealMult__k3_xcmplx_0__r1_rm2_rm2, axiom, k3_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
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_r504_r1008, axiom, k3_xcmplx_0(2, 504)=1008).
fof(rqRealMult__k3_xcmplx_0__r2_r505_r1010, axiom, k3_xcmplx_0(2, 505)=1010).
fof(rqRealMult__k3_xcmplx_0__r2_rm505_rm1010, axiom, k3_xcmplx_0(2, k4_xcmplx_0(505))=k4_xcmplx_0(1010)).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d2_r1, axiom, k3_xcmplx_0(2, k7_xcmplx_0(1, 2))=1).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1, axiom, k3_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r503_r1_r503, axiom, k3_xcmplx_0(503, 1)=503).
fof(rqRealMult__k3_xcmplx_0__r504_r0_r0, axiom, k3_xcmplx_0(504, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r504_r2_r1008, axiom, k3_xcmplx_0(504, 2)=1008).
fof(rqRealMult__k3_xcmplx_0__r505_r0_r0, axiom, k3_xcmplx_0(505, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r505_r2_r1010, axiom, k3_xcmplx_0(505, 2)=1010).
fof(rqRealMult__k3_xcmplx_0__rm1008_r1_rm1008, axiom, k3_xcmplx_0(k4_xcmplx_0(1008), 1)=k4_xcmplx_0(1008)).
fof(rqRealMult__k3_xcmplx_0__rm2_r0_r0, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rm2_r1_rm2, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rm2_rm504_r1008, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(504))=1008).
fof(rqRealMult__k3_xcmplx_0__rm2_rm505_r1010, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(505))=1010).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealMult__k3_xcmplx_0__rm503_r1_rm503, axiom, k3_xcmplx_0(k4_xcmplx_0(503), 1)=k4_xcmplx_0(503)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 2)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r1008_rm504, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1008)=k4_xcmplx_0(504)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r1010_rm505, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1010)=k4_xcmplx_0(505)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 2)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(2))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d503_rm503_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 503), k4_xcmplx_0(503))=1).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r1008_rm1008, axiom, k4_xcmplx_0(1008)=k4_xcmplx_0(1008)).
fof(rqRealNeg__k4_xcmplx_0__r1010_rm1010, axiom, k4_xcmplx_0(1010)=k4_xcmplx_0(1010)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r503_rm503, axiom, k4_xcmplx_0(503)=k4_xcmplx_0(503)).
fof(rqRealNeg__k4_xcmplx_0__r504_rm504, axiom, k4_xcmplx_0(504)=k4_xcmplx_0(504)).
fof(rqRealNeg__k4_xcmplx_0__r505_rm505, axiom, k4_xcmplx_0(505)=k4_xcmplx_0(505)).
fof(rqRealNeg__k4_xcmplx_0__rm1008_r1008, axiom, k4_xcmplx_0(k4_xcmplx_0(1008))=1008).
fof(rqRealNeg__k4_xcmplx_0__rm1010_r1010, axiom, k4_xcmplx_0(k4_xcmplx_0(1010))=1010).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rm503_r503, axiom, k4_xcmplx_0(k4_xcmplx_0(503))=503).
fof(rqRealNeg__k4_xcmplx_0__rm504_r504, axiom, k4_xcmplx_0(k4_xcmplx_0(504))=504).
fof(rqRealNeg__k4_xcmplx_0__rm505_r505, axiom, k4_xcmplx_0(k4_xcmplx_0(505))=505).
fof(rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc1008_numerals, axiom,  (v2_xxreal_0(1008) & m1_subset_1(1008, k4_ordinal1)) ).
fof(spc1009_numerals, axiom,  (v2_xxreal_0(1009) & m1_subset_1(1009, k4_ordinal1)) ).
fof(spc1010_numerals, axiom,  (v2_xxreal_0(1010) & m1_subset_1(1010, k4_ordinal1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k4_xcmplx_0(1))=k4_xcmplx_0(A)) ) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc4_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(A, k7_xcmplx_0(B, C))=k7_xcmplx_0(k3_xcmplx_0(A, B), C)) ) ).
fof(spc503_numerals, axiom,  (v2_xxreal_0(503) & m1_subset_1(503, k4_ordinal1)) ).
fof(spc504_numerals, axiom,  (v2_xxreal_0(504) & m1_subset_1(504, k4_ordinal1)) ).
fof(spc505_numerals, axiom,  (v2_xxreal_0(505) & m1_subset_1(505, 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(spc9_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k6_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k6_xcmplx_0(B, A)) ) ).
fof(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
fof(t6_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k7_xcmplx_0(A, 1)=A) ) ).
