% Mizar problem: t408_xprimes0,xprimes0,2803,7 
fof(t408_xprimes0, conjecture,  ~ (v1_int_2(408)) ).
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_r202_rm202, axiom, k6_xcmplx_0(0, 202)=k4_xcmplx_0(202)).
fof(rqRealDiff__k6_xcmplx_0__r0_r203_rm203, axiom, k6_xcmplx_0(0, 203)=k4_xcmplx_0(203)).
fof(rqRealDiff__k6_xcmplx_0__r0_r204_rm204, axiom, k6_xcmplx_0(0, 204)=k4_xcmplx_0(204)).
fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_r407_rm407, axiom, k6_xcmplx_0(0, 407)=k4_xcmplx_0(407)).
fof(rqRealDiff__k6_xcmplx_0__r0_r408_rm408, axiom, k6_xcmplx_0(0, 408)=k4_xcmplx_0(408)).
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_r203_rm202, axiom, k6_xcmplx_0(1, 203)=k4_xcmplx_0(202)).
fof(rqRealDiff__k6_xcmplx_0__r1_r204_rm203, axiom, k6_xcmplx_0(1, 204)=k4_xcmplx_0(203)).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_r407_rm406, axiom, k6_xcmplx_0(1, 407)=k4_xcmplx_0(406)).
fof(rqRealDiff__k6_xcmplx_0__r1_r408_rm407, axiom, k6_xcmplx_0(1, 408)=k4_xcmplx_0(407)).
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__r202_r0_r202, axiom, k6_xcmplx_0(202, 0)=202).
fof(rqRealDiff__k6_xcmplx_0__r203_r0_r203, axiom, k6_xcmplx_0(203, 0)=203).
fof(rqRealDiff__k6_xcmplx_0__r203_r1_r202, axiom, k6_xcmplx_0(203, 1)=202).
fof(rqRealDiff__k6_xcmplx_0__r203_r203_r0, axiom, k6_xcmplx_0(203, 203)=0).
fof(rqRealDiff__k6_xcmplx_0__r203_r204_rm1, axiom, k6_xcmplx_0(203, 204)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r203_rm203_r406, axiom, k6_xcmplx_0(203, k4_xcmplx_0(203))=406).
fof(rqRealDiff__k6_xcmplx_0__r204_r0_r204, axiom, k6_xcmplx_0(204, 0)=204).
fof(rqRealDiff__k6_xcmplx_0__r204_r1_r203, axiom, k6_xcmplx_0(204, 1)=203).
fof(rqRealDiff__k6_xcmplx_0__r204_r2_r202, axiom, k6_xcmplx_0(204, 2)=202).
fof(rqRealDiff__k6_xcmplx_0__r204_r408_rm204, axiom, k6_xcmplx_0(204, 408)=k4_xcmplx_0(204)).
fof(rqRealDiff__k6_xcmplx_0__r204_rm204_r408, axiom, k6_xcmplx_0(204, k4_xcmplx_0(204))=408).
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_r204_rm202, axiom, k6_xcmplx_0(2, 204)=k4_xcmplx_0(202)).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__r2_r408_rm406, axiom, k6_xcmplx_0(2, 408)=k4_xcmplx_0(406)).
fof(rqRealDiff__k6_xcmplx_0__r406_r0_r406, axiom, k6_xcmplx_0(406, 0)=406).
fof(rqRealDiff__k6_xcmplx_0__r406_r203_r203, axiom, k6_xcmplx_0(406, 203)=203).
fof(rqRealDiff__k6_xcmplx_0__r407_r0_r407, axiom, k6_xcmplx_0(407, 0)=407).
fof(rqRealDiff__k6_xcmplx_0__r407_r1_r406, axiom, k6_xcmplx_0(407, 1)=406).
fof(rqRealDiff__k6_xcmplx_0__r408_r0_r408, axiom, k6_xcmplx_0(408, 0)=408).
fof(rqRealDiff__k6_xcmplx_0__r408_r1_r407, axiom, k6_xcmplx_0(408, 1)=407).
fof(rqRealDiff__k6_xcmplx_0__r408_r204_r204, axiom, k6_xcmplx_0(408, 204)=204).
fof(rqRealDiff__k6_xcmplx_0__r408_r2_r406, axiom, k6_xcmplx_0(408, 2)=406).
fof(rqRealDiff__k6_xcmplx_0__r408_r408_r0, axiom, k6_xcmplx_0(408, 408)=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_rm203_r202, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(203))=202).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm204_r203, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(204))=203).
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_rm407_r406, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(407))=406).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm408_r407, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(408))=407).
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__rm202_r0_rm202, axiom, k6_xcmplx_0(k4_xcmplx_0(202), 0)=k4_xcmplx_0(202)).
fof(rqRealDiff__k6_xcmplx_0__rm202_r1_rm203, axiom, k6_xcmplx_0(k4_xcmplx_0(202), 1)=k4_xcmplx_0(203)).
fof(rqRealDiff__k6_xcmplx_0__rm202_r2_rm204, axiom, k6_xcmplx_0(k4_xcmplx_0(202), 2)=k4_xcmplx_0(204)).
fof(rqRealDiff__k6_xcmplx_0__rm202_rm202_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(202), k4_xcmplx_0(202))=0).
fof(rqRealDiff__k6_xcmplx_0__rm203_r1_rm204, axiom, k6_xcmplx_0(k4_xcmplx_0(203), 1)=k4_xcmplx_0(204)).
fof(rqRealDiff__k6_xcmplx_0__rm203_r203_rm406, axiom, k6_xcmplx_0(k4_xcmplx_0(203), 203)=k4_xcmplx_0(406)).
fof(rqRealDiff__k6_xcmplx_0__rm203_r204_rm407, axiom, k6_xcmplx_0(k4_xcmplx_0(203), 204)=k4_xcmplx_0(407)).
fof(rqRealDiff__k6_xcmplx_0__rm203_rm202_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(203), k4_xcmplx_0(202))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm203_rm203_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(203), k4_xcmplx_0(203))=0).
fof(rqRealDiff__k6_xcmplx_0__rm204_r0_rm204, axiom, k6_xcmplx_0(k4_xcmplx_0(204), 0)=k4_xcmplx_0(204)).
fof(rqRealDiff__k6_xcmplx_0__rm204_r204_rm408, axiom, k6_xcmplx_0(k4_xcmplx_0(204), 204)=k4_xcmplx_0(408)).
fof(rqRealDiff__k6_xcmplx_0__rm204_rm1_rm203, axiom, k6_xcmplx_0(k4_xcmplx_0(204), k4_xcmplx_0(1))=k4_xcmplx_0(203)).
fof(rqRealDiff__k6_xcmplx_0__rm204_rm202_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(204), k4_xcmplx_0(202))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm204_rm203_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(204), k4_xcmplx_0(203))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm204_rm204_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(204), k4_xcmplx_0(204))=0).
fof(rqRealDiff__k6_xcmplx_0__rm204_rm2_rm202, axiom, k6_xcmplx_0(k4_xcmplx_0(204), k4_xcmplx_0(2))=k4_xcmplx_0(202)).
fof(rqRealDiff__k6_xcmplx_0__rm204_rm408_r204, axiom, k6_xcmplx_0(k4_xcmplx_0(204), k4_xcmplx_0(408))=204).
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_rm204_r202, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(204))=202).
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_rm408_r406, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(408))=406).
fof(rqRealDiff__k6_xcmplx_0__rm406_r0_rm406, axiom, k6_xcmplx_0(k4_xcmplx_0(406), 0)=k4_xcmplx_0(406)).
fof(rqRealDiff__k6_xcmplx_0__rm406_r1_rm407, axiom, k6_xcmplx_0(k4_xcmplx_0(406), 1)=k4_xcmplx_0(407)).
fof(rqRealDiff__k6_xcmplx_0__rm406_r2_rm408, axiom, k6_xcmplx_0(k4_xcmplx_0(406), 2)=k4_xcmplx_0(408)).
fof(rqRealDiff__k6_xcmplx_0__rm406_rm406_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(406), k4_xcmplx_0(406))=0).
fof(rqRealDiff__k6_xcmplx_0__rm407_r0_rm407, axiom, k6_xcmplx_0(k4_xcmplx_0(407), 0)=k4_xcmplx_0(407)).
fof(rqRealDiff__k6_xcmplx_0__rm407_r1_rm408, axiom, k6_xcmplx_0(k4_xcmplx_0(407), 1)=k4_xcmplx_0(408)).
fof(rqRealDiff__k6_xcmplx_0__rm407_rm1_rm406, axiom, k6_xcmplx_0(k4_xcmplx_0(407), k4_xcmplx_0(1))=k4_xcmplx_0(406)).
fof(rqRealDiff__k6_xcmplx_0__rm407_rm203_rm204, axiom, k6_xcmplx_0(k4_xcmplx_0(407), k4_xcmplx_0(203))=k4_xcmplx_0(204)).
fof(rqRealDiff__k6_xcmplx_0__rm407_rm407_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(407), k4_xcmplx_0(407))=0).
fof(rqRealDiff__k6_xcmplx_0__rm408_r0_rm408, axiom, k6_xcmplx_0(k4_xcmplx_0(408), 0)=k4_xcmplx_0(408)).
fof(rqRealDiff__k6_xcmplx_0__rm408_rm204_rm204, axiom, k6_xcmplx_0(k4_xcmplx_0(408), k4_xcmplx_0(204))=k4_xcmplx_0(204)).
fof(rqRealDiff__k6_xcmplx_0__rm408_rm406_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(408), k4_xcmplx_0(406))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm408_rm407_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(408), k4_xcmplx_0(407))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm408_rm408_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(408), k4_xcmplx_0(408))=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_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_r406_r0, axiom, k3_xcmplx_0(0, 406)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r407_r0, axiom, k3_xcmplx_0(0, 407)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r408_r0, axiom, k3_xcmplx_0(0, 408)=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_r202_r202, axiom, k3_xcmplx_0(1, 202)=202).
fof(rqRealMult__k3_xcmplx_0__r1_r203_r203, axiom, k3_xcmplx_0(1, 203)=203).
fof(rqRealMult__k3_xcmplx_0__r1_r204_r204, axiom, k3_xcmplx_0(1, 204)=204).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r406_r406, axiom, k3_xcmplx_0(1, 406)=406).
fof(rqRealMult__k3_xcmplx_0__r1_r407_r407, axiom, k3_xcmplx_0(1, 407)=407).
fof(rqRealMult__k3_xcmplx_0__r1_r408_r408, axiom, k3_xcmplx_0(1, 408)=408).
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__r202_r1_r202, axiom, k3_xcmplx_0(202, 1)=202).
fof(rqRealMult__k3_xcmplx_0__r203_r2_r406, axiom, k3_xcmplx_0(203, 2)=406).
fof(rqRealMult__k3_xcmplx_0__r204_r2_r408, axiom, k3_xcmplx_0(204, 2)=408).
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_r203_r406, axiom, k3_xcmplx_0(2, 203)=406).
fof(rqRealMult__k3_xcmplx_0__r2_r204_r408, axiom, k3_xcmplx_0(2, 204)=408).
fof(rqRealMult__k3_xcmplx_0__r2_rm203_rm406, axiom, k3_xcmplx_0(2, k4_xcmplx_0(203))=k4_xcmplx_0(406)).
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__r406_r0_r0, axiom, k3_xcmplx_0(406, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r407_r0_r0, axiom, k3_xcmplx_0(407, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r408_r0_r0, axiom, k3_xcmplx_0(408, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r408_r1_r408, axiom, k3_xcmplx_0(408, 1)=408).
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_rm203_r406, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(203))=406).
fof(rqRealMult__k3_xcmplx_0__rm2_rm204_r408, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(204))=408).
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__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_r406_rm203, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 406)=k4_xcmplx_0(203)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r408_rm204, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 408)=k4_xcmplx_0(204)).
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__r202_rm202, axiom, k4_xcmplx_0(202)=k4_xcmplx_0(202)).
fof(rqRealNeg__k4_xcmplx_0__r203_rm203, axiom, k4_xcmplx_0(203)=k4_xcmplx_0(203)).
fof(rqRealNeg__k4_xcmplx_0__r204_rm204, axiom, k4_xcmplx_0(204)=k4_xcmplx_0(204)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r406_rm406, axiom, k4_xcmplx_0(406)=k4_xcmplx_0(406)).
fof(rqRealNeg__k4_xcmplx_0__r407_rm407, axiom, k4_xcmplx_0(407)=k4_xcmplx_0(407)).
fof(rqRealNeg__k4_xcmplx_0__r408_rm408, axiom, k4_xcmplx_0(408)=k4_xcmplx_0(408)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm202_r202, axiom, k4_xcmplx_0(k4_xcmplx_0(202))=202).
fof(rqRealNeg__k4_xcmplx_0__rm203_r203, axiom, k4_xcmplx_0(k4_xcmplx_0(203))=203).
fof(rqRealNeg__k4_xcmplx_0__rm204_r204, axiom, k4_xcmplx_0(k4_xcmplx_0(204))=204).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rm406_r406, axiom, k4_xcmplx_0(k4_xcmplx_0(406))=406).
fof(rqRealNeg__k4_xcmplx_0__rm407_r407, axiom, k4_xcmplx_0(k4_xcmplx_0(407))=407).
fof(rqRealNeg__k4_xcmplx_0__rm408_r408, axiom, k4_xcmplx_0(k4_xcmplx_0(408))=408).
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(spc202_numerals, axiom,  (v2_xxreal_0(202) & m1_subset_1(202, k4_ordinal1)) ).
fof(spc203_numerals, axiom,  (v2_xxreal_0(203) & m1_subset_1(203, k4_ordinal1)) ).
fof(spc204_numerals, axiom,  (v2_xxreal_0(204) & m1_subset_1(204, 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(spc406_numerals, axiom,  (v2_xxreal_0(406) & m1_subset_1(406, k4_ordinal1)) ).
fof(spc407_numerals, axiom,  (v2_xxreal_0(407) & m1_subset_1(407, k4_ordinal1)) ).
fof(spc408_numerals, axiom,  (v2_xxreal_0(408) & m1_subset_1(408, 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(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) ) ).
