% Mizar problem: t822_xprimes0,xprimes0,5737,7 
fof(t822_xprimes0, conjecture,  ~ (v1_int_2(822)) ).
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_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_r409_rm409, axiom, k6_xcmplx_0(0, 409)=k4_xcmplx_0(409)).
fof(rqRealDiff__k6_xcmplx_0__r0_r410_rm410, axiom, k6_xcmplx_0(0, 410)=k4_xcmplx_0(410)).
fof(rqRealDiff__k6_xcmplx_0__r0_r820_rm820, axiom, k6_xcmplx_0(0, 820)=k4_xcmplx_0(820)).
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_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_r410_rm409, axiom, k6_xcmplx_0(1, 410)=k4_xcmplx_0(409)).
fof(rqRealDiff__k6_xcmplx_0__r1_r411_rm410, axiom, k6_xcmplx_0(1, 411)=k4_xcmplx_0(410)).
fof(rqRealDiff__k6_xcmplx_0__r1_r821_rm820, axiom, k6_xcmplx_0(1, 821)=k4_xcmplx_0(820)).
fof(rqRealDiff__k6_xcmplx_0__r1_r822_rm821, axiom, k6_xcmplx_0(1, 822)=k4_xcmplx_0(821)).
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_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_r411_rm409, axiom, k6_xcmplx_0(2, 411)=k4_xcmplx_0(409)).
fof(rqRealDiff__k6_xcmplx_0__r2_r822_rm820, axiom, k6_xcmplx_0(2, 822)=k4_xcmplx_0(820)).
fof(rqRealDiff__k6_xcmplx_0__r409_r0_r409, axiom, k6_xcmplx_0(409, 0)=409).
fof(rqRealDiff__k6_xcmplx_0__r409_r409_r0, axiom, k6_xcmplx_0(409, 409)=0).
fof(rqRealDiff__k6_xcmplx_0__r410_r0_r410, axiom, k6_xcmplx_0(410, 0)=410).
fof(rqRealDiff__k6_xcmplx_0__r410_r1_r409, axiom, k6_xcmplx_0(410, 1)=409).
fof(rqRealDiff__k6_xcmplx_0__r410_r820_rm410, axiom, k6_xcmplx_0(410, 820)=k4_xcmplx_0(410)).
fof(rqRealDiff__k6_xcmplx_0__r410_rm410_r820, axiom, k6_xcmplx_0(410, k4_xcmplx_0(410))=820).
fof(rqRealDiff__k6_xcmplx_0__r411_r1_r410, axiom, k6_xcmplx_0(411, 1)=410).
fof(rqRealDiff__k6_xcmplx_0__r411_r2_r409, axiom, k6_xcmplx_0(411, 2)=409).
fof(rqRealDiff__k6_xcmplx_0__r820_r0_r820, axiom, k6_xcmplx_0(820, 0)=820).
fof(rqRealDiff__k6_xcmplx_0__r820_r410_r410, axiom, k6_xcmplx_0(820, 410)=410).
fof(rqRealDiff__k6_xcmplx_0__r822_r0_r822, axiom, k6_xcmplx_0(822, 0)=822).
fof(rqRealDiff__k6_xcmplx_0__r822_r1_r821, axiom, k6_xcmplx_0(822, 1)=821).
fof(rqRealDiff__k6_xcmplx_0__r822_r2_r820, axiom, k6_xcmplx_0(822, 2)=820).
fof(rqRealDiff__k6_xcmplx_0__r822_r411_r411, axiom, k6_xcmplx_0(822, 411)=411).
fof(rqRealDiff__k6_xcmplx_0__r822_r820_r2, axiom, k6_xcmplx_0(822, 820)=2).
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_rm2_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=1).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm410_r409, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(410))=409).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm411_r410, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(411))=410).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm822_r821, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(822))=821).
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_r409_rm411, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 409)=k4_xcmplx_0(411)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r820_rm822, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 820)=k4_xcmplx_0(822)).
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__rm409_r0_rm409, axiom, k6_xcmplx_0(k4_xcmplx_0(409), 0)=k4_xcmplx_0(409)).
fof(rqRealDiff__k6_xcmplx_0__rm409_r1_rm410, axiom, k6_xcmplx_0(k4_xcmplx_0(409), 1)=k4_xcmplx_0(410)).
fof(rqRealDiff__k6_xcmplx_0__rm409_r2_rm411, axiom, k6_xcmplx_0(k4_xcmplx_0(409), 2)=k4_xcmplx_0(411)).
fof(rqRealDiff__k6_xcmplx_0__rm409_rm409_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(409), k4_xcmplx_0(409))=0).
fof(rqRealDiff__k6_xcmplx_0__rm410_r0_rm410, axiom, k6_xcmplx_0(k4_xcmplx_0(410), 0)=k4_xcmplx_0(410)).
fof(rqRealDiff__k6_xcmplx_0__rm410_r1_rm411, axiom, k6_xcmplx_0(k4_xcmplx_0(410), 1)=k4_xcmplx_0(411)).
fof(rqRealDiff__k6_xcmplx_0__rm410_r410_rm820, axiom, k6_xcmplx_0(k4_xcmplx_0(410), 410)=k4_xcmplx_0(820)).
fof(rqRealDiff__k6_xcmplx_0__rm410_rm1_rm409, axiom, k6_xcmplx_0(k4_xcmplx_0(410), k4_xcmplx_0(1))=k4_xcmplx_0(409)).
fof(rqRealDiff__k6_xcmplx_0__rm410_rm409_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(410), k4_xcmplx_0(409))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm410_rm410_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(410), k4_xcmplx_0(410))=0).
fof(rqRealDiff__k6_xcmplx_0__rm411_rm409_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(411), k4_xcmplx_0(409))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm411_rm410_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(411), k4_xcmplx_0(410))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm411_rm411_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(411), k4_xcmplx_0(411))=0).
fof(rqRealDiff__k6_xcmplx_0__rm820_r0_rm820, axiom, k6_xcmplx_0(k4_xcmplx_0(820), 0)=k4_xcmplx_0(820)).
fof(rqRealDiff__k6_xcmplx_0__rm820_r1_rm821, axiom, k6_xcmplx_0(k4_xcmplx_0(820), 1)=k4_xcmplx_0(821)).
fof(rqRealDiff__k6_xcmplx_0__rm820_r2_rm822, axiom, k6_xcmplx_0(k4_xcmplx_0(820), 2)=k4_xcmplx_0(822)).
fof(rqRealDiff__k6_xcmplx_0__rm820_rm820_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(820), k4_xcmplx_0(820))=0).
fof(rqRealDiff__k6_xcmplx_0__rm822_rm2_rm820, axiom, k6_xcmplx_0(k4_xcmplx_0(822), k4_xcmplx_0(2))=k4_xcmplx_0(820)).
fof(rqRealDiff__k6_xcmplx_0__rm822_rm820_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(822), k4_xcmplx_0(820))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm822_rm822_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(822), k4_xcmplx_0(822))=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_rm409_rnm1d409, axiom, k7_xcmplx_0(1, k4_xcmplx_0(409))=k7_xcmplx_0(k4_xcmplx_0(1), 409)).
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_r410_r0, axiom, k3_xcmplx_0(0, 410)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r411_r0, axiom, k3_xcmplx_0(0, 411)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r822_r0, axiom, k3_xcmplx_0(0, 822)=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_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r409_r409, axiom, k3_xcmplx_0(1, 409)=409).
fof(rqRealMult__k3_xcmplx_0__r1_r410_r410, axiom, k3_xcmplx_0(1, 410)=410).
fof(rqRealMult__k3_xcmplx_0__r1_r411_r411, axiom, k3_xcmplx_0(1, 411)=411).
fof(rqRealMult__k3_xcmplx_0__r1_r820_r820, axiom, k3_xcmplx_0(1, 820)=820).
fof(rqRealMult__k3_xcmplx_0__r1_r822_r822, axiom, k3_xcmplx_0(1, 822)=822).
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_r410_r820, axiom, k3_xcmplx_0(2, 410)=820).
fof(rqRealMult__k3_xcmplx_0__r2_r411_r822, axiom, k3_xcmplx_0(2, 411)=822).
fof(rqRealMult__k3_xcmplx_0__r2_rm411_rm822, axiom, k3_xcmplx_0(2, k4_xcmplx_0(411))=k4_xcmplx_0(822)).
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__r409_r1_r409, axiom, k3_xcmplx_0(409, 1)=409).
fof(rqRealMult__k3_xcmplx_0__r410_r0_r0, axiom, k3_xcmplx_0(410, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r410_r1_r410, axiom, k3_xcmplx_0(410, 1)=410).
fof(rqRealMult__k3_xcmplx_0__r410_r2_r820, axiom, k3_xcmplx_0(410, 2)=820).
fof(rqRealMult__k3_xcmplx_0__r411_r0_r0, axiom, k3_xcmplx_0(411, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r411_r2_r822, axiom, k3_xcmplx_0(411, 2)=822).
fof(rqRealMult__k3_xcmplx_0__r822_r0_r0, axiom, k3_xcmplx_0(822, 0)=0).
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_rm410_r820, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(410))=820).
fof(rqRealMult__k3_xcmplx_0__rm2_rm411_r822, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(411))=822).
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__rm409_r1_rm409, axiom, k3_xcmplx_0(k4_xcmplx_0(409), 1)=k4_xcmplx_0(409)).
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_r820_rm410, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 820)=k4_xcmplx_0(410)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r822_rm411, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 822)=k4_xcmplx_0(411)).
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__rnm1d409_rm409_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 409), k4_xcmplx_0(409))=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__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r409_rm409, axiom, k4_xcmplx_0(409)=k4_xcmplx_0(409)).
fof(rqRealNeg__k4_xcmplx_0__r410_rm410, axiom, k4_xcmplx_0(410)=k4_xcmplx_0(410)).
fof(rqRealNeg__k4_xcmplx_0__r411_rm411, axiom, k4_xcmplx_0(411)=k4_xcmplx_0(411)).
fof(rqRealNeg__k4_xcmplx_0__r820_rm820, axiom, k4_xcmplx_0(820)=k4_xcmplx_0(820)).
fof(rqRealNeg__k4_xcmplx_0__r822_rm822, axiom, k4_xcmplx_0(822)=k4_xcmplx_0(822)).
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__rm409_r409, axiom, k4_xcmplx_0(k4_xcmplx_0(409))=409).
fof(rqRealNeg__k4_xcmplx_0__rm410_r410, axiom, k4_xcmplx_0(k4_xcmplx_0(410))=410).
fof(rqRealNeg__k4_xcmplx_0__rm411_r411, axiom, k4_xcmplx_0(k4_xcmplx_0(411))=411).
fof(rqRealNeg__k4_xcmplx_0__rm820_r820, axiom, k4_xcmplx_0(k4_xcmplx_0(820))=820).
fof(rqRealNeg__k4_xcmplx_0__rm821_r821, axiom, k4_xcmplx_0(k4_xcmplx_0(821))=821).
fof(rqRealNeg__k4_xcmplx_0__rm822_r822, axiom, k4_xcmplx_0(k4_xcmplx_0(822))=822).
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(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(spc409_numerals, axiom,  (v2_xxreal_0(409) & m1_subset_1(409, k4_ordinal1)) ).
fof(spc410_numerals, axiom,  (v2_xxreal_0(410) & m1_subset_1(410, k4_ordinal1)) ).
fof(spc411_numerals, axiom,  (v2_xxreal_0(411) & m1_subset_1(411, 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(spc820_numerals, axiom,  (v2_xxreal_0(820) & m1_subset_1(820, k4_ordinal1)) ).
fof(spc821_numerals, axiom,  (v2_xxreal_0(821) & m1_subset_1(821, k4_ordinal1)) ).
fof(spc822_numerals, axiom,  (v2_xxreal_0(822) & m1_subset_1(822, k4_ordinal1)) ).
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) ) ).
