% Mizar problem: t1008_xprimes0,xprimes0,7069,7 
fof(t1008_xprimes0, conjecture,  ~ (v1_int_2(1008)) ).
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_r1006_rm1006, axiom, k6_xcmplx_0(0, 1006)=k4_xcmplx_0(1006)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1007_rm1007, axiom, k6_xcmplx_0(0, 1007)=k4_xcmplx_0(1007)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1008_rm1008, axiom, k6_xcmplx_0(0, 1008)=k4_xcmplx_0(1008)).
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_r502_rm502, axiom, k6_xcmplx_0(0, 502)=k4_xcmplx_0(502)).
fof(rqRealDiff__k6_xcmplx_0__r0_r504_rm504, axiom, k6_xcmplx_0(0, 504)=k4_xcmplx_0(504)).
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__r1006_r0_r1006, axiom, k6_xcmplx_0(1006, 0)=1006).
fof(rqRealDiff__k6_xcmplx_0__r1006_r1008_rm2, axiom, k6_xcmplx_0(1006, 1008)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r1006_r503_r503, axiom, k6_xcmplx_0(1006, 503)=503).
fof(rqRealDiff__k6_xcmplx_0__r1006_r504_r502, axiom, k6_xcmplx_0(1006, 504)=502).
fof(rqRealDiff__k6_xcmplx_0__r1007_r1_r1006, axiom, k6_xcmplx_0(1007, 1)=1006).
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_r1_r1007, axiom, k6_xcmplx_0(1008, 1)=1007).
fof(rqRealDiff__k6_xcmplx_0__r1008_r2_r1006, axiom, k6_xcmplx_0(1008, 2)=1006).
fof(rqRealDiff__k6_xcmplx_0__r1008_r504_r504, axiom, k6_xcmplx_0(1008, 504)=504).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1007_rm1006, axiom, k6_xcmplx_0(1, 1007)=k4_xcmplx_0(1006)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1008_rm1007, axiom, k6_xcmplx_0(1, 1008)=k4_xcmplx_0(1007)).
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_r503_rm502, axiom, k6_xcmplx_0(1, 503)=k4_xcmplx_0(502)).
fof(rqRealDiff__k6_xcmplx_0__r1_r504_rm503, axiom, k6_xcmplx_0(1, 504)=k4_xcmplx_0(503)).
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_r1008_rm1006, axiom, k6_xcmplx_0(2, 1008)=k4_xcmplx_0(1006)).
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_r504_rm502, axiom, k6_xcmplx_0(2, 504)=k4_xcmplx_0(502)).
fof(rqRealDiff__k6_xcmplx_0__r502_r0_r502, axiom, k6_xcmplx_0(502, 0)=502).
fof(rqRealDiff__k6_xcmplx_0__r502_r502_r0, axiom, k6_xcmplx_0(502, 502)=0).
fof(rqRealDiff__k6_xcmplx_0__r503_r0_r503, axiom, k6_xcmplx_0(503, 0)=503).
fof(rqRealDiff__k6_xcmplx_0__r503_r1_r502, axiom, k6_xcmplx_0(503, 1)=502).
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_r1006_rm502, axiom, k6_xcmplx_0(504, 1006)=k4_xcmplx_0(502)).
fof(rqRealDiff__k6_xcmplx_0__r504_r1_r503, axiom, k6_xcmplx_0(504, 1)=503).
fof(rqRealDiff__k6_xcmplx_0__r504_r2_r502, axiom, k6_xcmplx_0(504, 2)=502).
fof(rqRealDiff__k6_xcmplx_0__r504_rm504_r1008, axiom, k6_xcmplx_0(504, k4_xcmplx_0(504))=1008).
fof(rqRealDiff__k6_xcmplx_0__rm1006_r0_rm1006, axiom, k6_xcmplx_0(k4_xcmplx_0(1006), 0)=k4_xcmplx_0(1006)).
fof(rqRealDiff__k6_xcmplx_0__rm1006_r1_rm1007, axiom, k6_xcmplx_0(k4_xcmplx_0(1006), 1)=k4_xcmplx_0(1007)).
fof(rqRealDiff__k6_xcmplx_0__rm1006_r2_rm1008, axiom, k6_xcmplx_0(k4_xcmplx_0(1006), 2)=k4_xcmplx_0(1008)).
fof(rqRealDiff__k6_xcmplx_0__rm1006_rm1006_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1006), k4_xcmplx_0(1006))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1007_rm1007_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1007), k4_xcmplx_0(1007))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1008_rm1006_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(1008), k4_xcmplx_0(1006))=k4_xcmplx_0(2)).
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__rm1008_rm1_rm1007, axiom, k6_xcmplx_0(k4_xcmplx_0(1008), k4_xcmplx_0(1))=k4_xcmplx_0(1007)).
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_r1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1007_r1006, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1007))=1006).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1008_r1007, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1008))=1007).
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_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__rm2_rm504_r502, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(504))=502).
fof(rqRealDiff__k6_xcmplx_0__rm502_r1_rm503, axiom, k6_xcmplx_0(k4_xcmplx_0(502), 1)=k4_xcmplx_0(503)).
fof(rqRealDiff__k6_xcmplx_0__rm502_r2_rm504, axiom, k6_xcmplx_0(k4_xcmplx_0(502), 2)=k4_xcmplx_0(504)).
fof(rqRealDiff__k6_xcmplx_0__rm502_rm502_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(502), k4_xcmplx_0(502))=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_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_rm502_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(504), k4_xcmplx_0(502))=k4_xcmplx_0(2)).
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__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_r502_r0, axiom, k3_xcmplx_0(0, 502)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r504_r0, axiom, k3_xcmplx_0(0, 504)=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_r1006_r1006, axiom, k3_xcmplx_0(1, 1006)=1006).
fof(rqRealMult__k3_xcmplx_0__r1_r1007_r1007, axiom, k3_xcmplx_0(1, 1007)=1007).
fof(rqRealMult__k3_xcmplx_0__r1_r1008_r1008, axiom, k3_xcmplx_0(1, 1008)=1008).
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_r502_r502, axiom, k3_xcmplx_0(1, 502)=502).
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_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_r503_r1006, axiom, k3_xcmplx_0(2, 503)=1006).
fof(rqRealMult__k3_xcmplx_0__r2_r504_r1008, axiom, k3_xcmplx_0(2, 504)=1008).
fof(rqRealMult__k3_xcmplx_0__r2_rm503_rm1006, axiom, k3_xcmplx_0(2, k4_xcmplx_0(503))=k4_xcmplx_0(1006)).
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__r502_r0_r0, axiom, k3_xcmplx_0(502, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r502_r1_r502, axiom, k3_xcmplx_0(502, 1)=502).
fof(rqRealMult__k3_xcmplx_0__r503_r1_r503, axiom, k3_xcmplx_0(503, 1)=503).
fof(rqRealMult__k3_xcmplx_0__r503_r2_r1006, axiom, k3_xcmplx_0(503, 2)=1006).
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__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_rm503_r1006, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(503))=1006).
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_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_r1006_rm503, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1006)=k4_xcmplx_0(503)).
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_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__r1006_rm1006, axiom, k4_xcmplx_0(1006)=k4_xcmplx_0(1006)).
fof(rqRealNeg__k4_xcmplx_0__r1007_rm1007, axiom, k4_xcmplx_0(1007)=k4_xcmplx_0(1007)).
fof(rqRealNeg__k4_xcmplx_0__r1008_rm1008, axiom, k4_xcmplx_0(1008)=k4_xcmplx_0(1008)).
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__r502_rm502, axiom, k4_xcmplx_0(502)=k4_xcmplx_0(502)).
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__rm1006_r1006, axiom, k4_xcmplx_0(k4_xcmplx_0(1006))=1006).
fof(rqRealNeg__k4_xcmplx_0__rm1007_r1007, axiom, k4_xcmplx_0(k4_xcmplx_0(1007))=1007).
fof(rqRealNeg__k4_xcmplx_0__rm1008_r1008, axiom, k4_xcmplx_0(k4_xcmplx_0(1008))=1008).
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__rm502_r502, axiom, k4_xcmplx_0(k4_xcmplx_0(502))=502).
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__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(spc1006_numerals, axiom,  (v2_xxreal_0(1006) & m1_subset_1(1006, k4_ordinal1)) ).
fof(spc1007_numerals, axiom,  (v2_xxreal_0(1007) & m1_subset_1(1007, k4_ordinal1)) ).
fof(spc1008_numerals, axiom,  (v2_xxreal_0(1008) & m1_subset_1(1008, 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(spc502_numerals, axiom,  (v2_xxreal_0(502) & m1_subset_1(502, k4_ordinal1)) ).
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(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) ) ).
