% Mizar problem: t502_xprimes0,xprimes0,3459,7 
fof(t502_xprimes0, conjecture,  ~ (v1_int_2(502)) ).
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_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r249_rm249, axiom, k6_xcmplx_0(0, 249)=k4_xcmplx_0(249)).
fof(rqRealDiff__k6_xcmplx_0__r0_r250_rm250, axiom, k6_xcmplx_0(0, 250)=k4_xcmplx_0(250)).
fof(rqRealDiff__k6_xcmplx_0__r0_r251_rm251, axiom, k6_xcmplx_0(0, 251)=k4_xcmplx_0(251)).
fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_r500_rm500, axiom, k6_xcmplx_0(0, 500)=k4_xcmplx_0(500)).
fof(rqRealDiff__k6_xcmplx_0__r0_r501_rm501, axiom, k6_xcmplx_0(0, 501)=k4_xcmplx_0(501)).
fof(rqRealDiff__k6_xcmplx_0__r0_r502_rm502, axiom, k6_xcmplx_0(0, 502)=k4_xcmplx_0(502)).
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__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r250_rm249, axiom, k6_xcmplx_0(1, 250)=k4_xcmplx_0(249)).
fof(rqRealDiff__k6_xcmplx_0__r1_r251_rm250, axiom, k6_xcmplx_0(1, 251)=k4_xcmplx_0(250)).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_r501_rm500, axiom, k6_xcmplx_0(1, 501)=k4_xcmplx_0(500)).
fof(rqRealDiff__k6_xcmplx_0__r1_r502_rm501, axiom, k6_xcmplx_0(1, 502)=k4_xcmplx_0(501)).
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__r249_r0_r249, axiom, k6_xcmplx_0(249, 0)=249).
fof(rqRealDiff__k6_xcmplx_0__r250_r0_r250, axiom, k6_xcmplx_0(250, 0)=250).
fof(rqRealDiff__k6_xcmplx_0__r250_r1_r249, axiom, k6_xcmplx_0(250, 1)=249).
fof(rqRealDiff__k6_xcmplx_0__r250_r250_r0, axiom, k6_xcmplx_0(250, 250)=0).
fof(rqRealDiff__k6_xcmplx_0__r250_r500_rm250, axiom, k6_xcmplx_0(250, 500)=k4_xcmplx_0(250)).
fof(rqRealDiff__k6_xcmplx_0__r250_rm250_r500, axiom, k6_xcmplx_0(250, k4_xcmplx_0(250))=500).
fof(rqRealDiff__k6_xcmplx_0__r251_r0_r251, axiom, k6_xcmplx_0(251, 0)=251).
fof(rqRealDiff__k6_xcmplx_0__r251_r1_r250, axiom, k6_xcmplx_0(251, 1)=250).
fof(rqRealDiff__k6_xcmplx_0__r251_r251_r0, axiom, k6_xcmplx_0(251, 251)=0).
fof(rqRealDiff__k6_xcmplx_0__r251_r2_r249, axiom, k6_xcmplx_0(251, 2)=249).
fof(rqRealDiff__k6_xcmplx_0__r251_rm251_r502, axiom, k6_xcmplx_0(251, k4_xcmplx_0(251))=502).
fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom, k6_xcmplx_0(2, 0)=2).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(2, 1)=1).
fof(rqRealDiff__k6_xcmplx_0__r2_r251_rm249, axiom, k6_xcmplx_0(2, 251)=k4_xcmplx_0(249)).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__r2_r502_rm500, axiom, k6_xcmplx_0(2, 502)=k4_xcmplx_0(500)).
fof(rqRealDiff__k6_xcmplx_0__r500_r0_r500, axiom, k6_xcmplx_0(500, 0)=500).
fof(rqRealDiff__k6_xcmplx_0__r500_r250_r250, axiom, k6_xcmplx_0(500, 250)=250).
fof(rqRealDiff__k6_xcmplx_0__r501_r0_r501, axiom, k6_xcmplx_0(501, 0)=501).
fof(rqRealDiff__k6_xcmplx_0__r501_r1_r500, axiom, k6_xcmplx_0(501, 1)=500).
fof(rqRealDiff__k6_xcmplx_0__r501_r500_r1, axiom, k6_xcmplx_0(501, 500)=1).
fof(rqRealDiff__k6_xcmplx_0__r502_r0_r502, axiom, k6_xcmplx_0(502, 0)=502).
fof(rqRealDiff__k6_xcmplx_0__r502_r1_r501, axiom, k6_xcmplx_0(502, 1)=501).
fof(rqRealDiff__k6_xcmplx_0__r502_r251_r251, axiom, k6_xcmplx_0(502, 251)=251).
fof(rqRealDiff__k6_xcmplx_0__r502_r2_r500, axiom, k6_xcmplx_0(502, 2)=500).
fof(rqRealDiff__k6_xcmplx_0__r502_r500_r2, axiom, k6_xcmplx_0(502, 500)=2).
fof(rqRealDiff__k6_xcmplx_0__r502_r502_r0, axiom, k6_xcmplx_0(502, 502)=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_r1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(2)).
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_rm250_r249, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(250))=249).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm251_r250, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(251))=250).
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_rm501_r500, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(501))=500).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm502_r501, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(502))=501).
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__rm249_r0_rm249, axiom, k6_xcmplx_0(k4_xcmplx_0(249), 0)=k4_xcmplx_0(249)).
fof(rqRealDiff__k6_xcmplx_0__rm249_r1_rm250, axiom, k6_xcmplx_0(k4_xcmplx_0(249), 1)=k4_xcmplx_0(250)).
fof(rqRealDiff__k6_xcmplx_0__rm249_r2_rm251, axiom, k6_xcmplx_0(k4_xcmplx_0(249), 2)=k4_xcmplx_0(251)).
fof(rqRealDiff__k6_xcmplx_0__rm249_rm249_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(249), k4_xcmplx_0(249))=0).
fof(rqRealDiff__k6_xcmplx_0__rm250_r1_rm251, axiom, k6_xcmplx_0(k4_xcmplx_0(250), 1)=k4_xcmplx_0(251)).
fof(rqRealDiff__k6_xcmplx_0__rm250_r250_rm500, axiom, k6_xcmplx_0(k4_xcmplx_0(250), 250)=k4_xcmplx_0(500)).
fof(rqRealDiff__k6_xcmplx_0__rm250_rm249_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(250), k4_xcmplx_0(249))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm250_rm250_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(250), k4_xcmplx_0(250))=0).
fof(rqRealDiff__k6_xcmplx_0__rm251_r251_rm502, axiom, k6_xcmplx_0(k4_xcmplx_0(251), 251)=k4_xcmplx_0(502)).
fof(rqRealDiff__k6_xcmplx_0__rm251_rm249_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(251), k4_xcmplx_0(249))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm251_rm250_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(251), k4_xcmplx_0(250))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm251_rm251_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(251), k4_xcmplx_0(251))=0).
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_rm251_r249, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(251))=249).
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_rm502_r500, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(502))=500).
fof(rqRealDiff__k6_xcmplx_0__rm500_r0_rm500, axiom, k6_xcmplx_0(k4_xcmplx_0(500), 0)=k4_xcmplx_0(500)).
fof(rqRealDiff__k6_xcmplx_0__rm500_r1_rm501, axiom, k6_xcmplx_0(k4_xcmplx_0(500), 1)=k4_xcmplx_0(501)).
fof(rqRealDiff__k6_xcmplx_0__rm500_r2_rm502, axiom, k6_xcmplx_0(k4_xcmplx_0(500), 2)=k4_xcmplx_0(502)).
fof(rqRealDiff__k6_xcmplx_0__rm500_rm250_rm250, axiom, k6_xcmplx_0(k4_xcmplx_0(500), k4_xcmplx_0(250))=k4_xcmplx_0(250)).
fof(rqRealDiff__k6_xcmplx_0__rm500_rm500_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(500), k4_xcmplx_0(500))=0).
fof(rqRealDiff__k6_xcmplx_0__rm501_rm500_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(501), k4_xcmplx_0(500))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm501_rm501_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(501), k4_xcmplx_0(501))=0).
fof(rqRealDiff__k6_xcmplx_0__rm502_rm500_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(502), k4_xcmplx_0(500))=k4_xcmplx_0(2)).
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__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_rm251_rnm1d251, axiom, k7_xcmplx_0(1, k4_xcmplx_0(251))=k7_xcmplx_0(k4_xcmplx_0(1), 251)).
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_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_r500_r0, axiom, k3_xcmplx_0(0, 500)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r501_r0, axiom, k3_xcmplx_0(0, 501)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r502_r0, axiom, k3_xcmplx_0(0, 502)=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__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r249_r249, axiom, k3_xcmplx_0(1, 249)=249).
fof(rqRealMult__k3_xcmplx_0__r1_r250_r250, axiom, k3_xcmplx_0(1, 250)=250).
fof(rqRealMult__k3_xcmplx_0__r1_r251_r251, axiom, k3_xcmplx_0(1, 251)=251).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r500_r500, axiom, k3_xcmplx_0(1, 500)=500).
fof(rqRealMult__k3_xcmplx_0__r1_r501_r501, axiom, k3_xcmplx_0(1, 501)=501).
fof(rqRealMult__k3_xcmplx_0__r1_r502_r502, axiom, k3_xcmplx_0(1, 502)=502).
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__r250_r1_r250, axiom, k3_xcmplx_0(250, 1)=250).
fof(rqRealMult__k3_xcmplx_0__r250_r2_r500, axiom, k3_xcmplx_0(250, 2)=500).
fof(rqRealMult__k3_xcmplx_0__r251_r1_r251, axiom, k3_xcmplx_0(251, 1)=251).
fof(rqRealMult__k3_xcmplx_0__r251_r2_r502, axiom, k3_xcmplx_0(251, 2)=502).
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_r250_r500, axiom, k3_xcmplx_0(2, 250)=500).
fof(rqRealMult__k3_xcmplx_0__r2_r251_r502, axiom, k3_xcmplx_0(2, 251)=502).
fof(rqRealMult__k3_xcmplx_0__r2_rm251_rm502, axiom, k3_xcmplx_0(2, k4_xcmplx_0(251))=k4_xcmplx_0(502)).
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__r500_r0_r0, axiom, k3_xcmplx_0(500, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r501_r0_r0, axiom, k3_xcmplx_0(501, 0)=0).
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__rm250_r1_rm250, axiom, k3_xcmplx_0(k4_xcmplx_0(250), 1)=k4_xcmplx_0(250)).
fof(rqRealMult__k3_xcmplx_0__rm251_r1_rm251, axiom, k3_xcmplx_0(k4_xcmplx_0(251), 1)=k4_xcmplx_0(251)).
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_rm250_r500, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(250))=500).
fof(rqRealMult__k3_xcmplx_0__rm2_rm251_r502, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(251))=502).
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__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__rnm1d251_rm251_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 251), k4_xcmplx_0(251))=1).
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_r500_rm250, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 500)=k4_xcmplx_0(250)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r502_rm251, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 502)=k4_xcmplx_0(251)).
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(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r249_rm249, axiom, k4_xcmplx_0(249)=k4_xcmplx_0(249)).
fof(rqRealNeg__k4_xcmplx_0__r250_rm250, axiom, k4_xcmplx_0(250)=k4_xcmplx_0(250)).
fof(rqRealNeg__k4_xcmplx_0__r251_rm251, axiom, k4_xcmplx_0(251)=k4_xcmplx_0(251)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r500_rm500, axiom, k4_xcmplx_0(500)=k4_xcmplx_0(500)).
fof(rqRealNeg__k4_xcmplx_0__r501_rm501, axiom, k4_xcmplx_0(501)=k4_xcmplx_0(501)).
fof(rqRealNeg__k4_xcmplx_0__r502_rm502, axiom, k4_xcmplx_0(502)=k4_xcmplx_0(502)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm249_r249, axiom, k4_xcmplx_0(k4_xcmplx_0(249))=249).
fof(rqRealNeg__k4_xcmplx_0__rm250_r250, axiom, k4_xcmplx_0(k4_xcmplx_0(250))=250).
fof(rqRealNeg__k4_xcmplx_0__rm251_r251, axiom, k4_xcmplx_0(k4_xcmplx_0(251))=251).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rm500_r500, axiom, k4_xcmplx_0(k4_xcmplx_0(500))=500).
fof(rqRealNeg__k4_xcmplx_0__rm501_r501, axiom, k4_xcmplx_0(k4_xcmplx_0(501))=501).
fof(rqRealNeg__k4_xcmplx_0__rm502_r502, axiom, k4_xcmplx_0(k4_xcmplx_0(502))=502).
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(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc249_numerals, axiom,  (v2_xxreal_0(249) & m1_subset_1(249, k4_ordinal1)) ).
fof(spc250_numerals, axiom,  (v2_xxreal_0(250) & m1_subset_1(250, k4_ordinal1)) ).
fof(spc251_numerals, axiom,  (v2_xxreal_0(251) & m1_subset_1(251, 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(spc500_numerals, axiom,  (v2_xxreal_0(500) & m1_subset_1(500, k4_ordinal1)) ).
fof(spc501_numerals, axiom,  (v2_xxreal_0(501) & m1_subset_1(501, k4_ordinal1)) ).
fof(spc502_numerals, axiom,  (v2_xxreal_0(502) & m1_subset_1(502, 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) ) ).
