% Mizar problem: t646_xprimes0,xprimes0,4479,7 
fof(t646_xprimes0, conjecture,  ~ (v1_int_2(646)) ).
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_r321_rm321, axiom, k6_xcmplx_0(0, 321)=k4_xcmplx_0(321)).
fof(rqRealDiff__k6_xcmplx_0__r0_r322_rm322, axiom, k6_xcmplx_0(0, 322)=k4_xcmplx_0(322)).
fof(rqRealDiff__k6_xcmplx_0__r0_r323_rm323, axiom, k6_xcmplx_0(0, 323)=k4_xcmplx_0(323)).
fof(rqRealDiff__k6_xcmplx_0__r0_r646_rm646, axiom, k6_xcmplx_0(0, 646)=k4_xcmplx_0(646)).
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_r322_rm321, axiom, k6_xcmplx_0(1, 322)=k4_xcmplx_0(321)).
fof(rqRealDiff__k6_xcmplx_0__r1_r323_rm322, axiom, k6_xcmplx_0(1, 323)=k4_xcmplx_0(322)).
fof(rqRealDiff__k6_xcmplx_0__r1_r645_rm644, axiom, k6_xcmplx_0(1, 645)=k4_xcmplx_0(644)).
fof(rqRealDiff__k6_xcmplx_0__r1_r646_rm645, axiom, k6_xcmplx_0(1, 646)=k4_xcmplx_0(645)).
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__r1_rn1d323_rn322d323, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 323))=k7_xcmplx_0(322, 323)).
fof(rqRealDiff__k6_xcmplx_0__r1_rn2d323_rn321d323, axiom, k6_xcmplx_0(1, k7_xcmplx_0(2, 323))=k7_xcmplx_0(321, 323)).
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_r323_rm321, axiom, k6_xcmplx_0(2, 323)=k4_xcmplx_0(321)).
fof(rqRealDiff__k6_xcmplx_0__r2_r646_rm644, axiom, k6_xcmplx_0(2, 646)=k4_xcmplx_0(644)).
fof(rqRealDiff__k6_xcmplx_0__r2_rn1d323_rn645d323, axiom, k6_xcmplx_0(2, k7_xcmplx_0(1, 323))=k7_xcmplx_0(645, 323)).
fof(rqRealDiff__k6_xcmplx_0__r2_rn2d323_rn644d323, axiom, k6_xcmplx_0(2, k7_xcmplx_0(2, 323))=k7_xcmplx_0(644, 323)).
fof(rqRealDiff__k6_xcmplx_0__r321_r0_r321, axiom, k6_xcmplx_0(321, 0)=321).
fof(rqRealDiff__k6_xcmplx_0__r322_r0_r322, axiom, k6_xcmplx_0(322, 0)=322).
fof(rqRealDiff__k6_xcmplx_0__r322_r1_r321, axiom, k6_xcmplx_0(322, 1)=321).
fof(rqRealDiff__k6_xcmplx_0__r322_r323_rm1, axiom, k6_xcmplx_0(322, 323)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r322_rm322_r644, axiom, k6_xcmplx_0(322, k4_xcmplx_0(322))=644).
fof(rqRealDiff__k6_xcmplx_0__r323_r0_r323, axiom, k6_xcmplx_0(323, 0)=323).
fof(rqRealDiff__k6_xcmplx_0__r323_r1_r322, axiom, k6_xcmplx_0(323, 1)=322).
fof(rqRealDiff__k6_xcmplx_0__r323_r2_r321, axiom, k6_xcmplx_0(323, 2)=321).
fof(rqRealDiff__k6_xcmplx_0__r323_rm323_r646, axiom, k6_xcmplx_0(323, k4_xcmplx_0(323))=646).
fof(rqRealDiff__k6_xcmplx_0__r644_r0_r644, axiom, k6_xcmplx_0(644, 0)=644).
fof(rqRealDiff__k6_xcmplx_0__r644_r322_r322, axiom, k6_xcmplx_0(644, 322)=322).
fof(rqRealDiff__k6_xcmplx_0__r645_r0_r645, axiom, k6_xcmplx_0(645, 0)=645).
fof(rqRealDiff__k6_xcmplx_0__r645_r1_r644, axiom, k6_xcmplx_0(645, 1)=644).
fof(rqRealDiff__k6_xcmplx_0__r645_r644_r1, axiom, k6_xcmplx_0(645, 644)=1).
fof(rqRealDiff__k6_xcmplx_0__r645_r645_r0, axiom, k6_xcmplx_0(645, 645)=0).
fof(rqRealDiff__k6_xcmplx_0__r646_r0_r646, axiom, k6_xcmplx_0(646, 0)=646).
fof(rqRealDiff__k6_xcmplx_0__r646_r1_r645, axiom, k6_xcmplx_0(646, 1)=645).
fof(rqRealDiff__k6_xcmplx_0__r646_r2_r644, axiom, k6_xcmplx_0(646, 2)=644).
fof(rqRealDiff__k6_xcmplx_0__r646_r323_r323, axiom, k6_xcmplx_0(646, 323)=323).
fof(rqRealDiff__k6_xcmplx_0__r646_r644_r2, axiom, k6_xcmplx_0(646, 644)=2).
fof(rqRealDiff__k6_xcmplx_0__r646_r646_r0, axiom, k6_xcmplx_0(646, 646)=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_r644_rm645, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 644)=k4_xcmplx_0(645)).
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_rm322_r321, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(322))=321).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm323_r322, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(323))=322).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm645_r644, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(645))=644).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm646_r645, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(646))=645).
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_r644_rm646, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 644)=k4_xcmplx_0(646)).
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_rm323_r321, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(323))=321).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm646_r644, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(646))=644).
fof(rqRealDiff__k6_xcmplx_0__rm321_r0_rm321, axiom, k6_xcmplx_0(k4_xcmplx_0(321), 0)=k4_xcmplx_0(321)).
fof(rqRealDiff__k6_xcmplx_0__rm321_r1_rm322, axiom, k6_xcmplx_0(k4_xcmplx_0(321), 1)=k4_xcmplx_0(322)).
fof(rqRealDiff__k6_xcmplx_0__rm321_r2_rm323, axiom, k6_xcmplx_0(k4_xcmplx_0(321), 2)=k4_xcmplx_0(323)).
fof(rqRealDiff__k6_xcmplx_0__rm321_rm321_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(321), k4_xcmplx_0(321))=0).
fof(rqRealDiff__k6_xcmplx_0__rm322_r0_rm322, axiom, k6_xcmplx_0(k4_xcmplx_0(322), 0)=k4_xcmplx_0(322)).
fof(rqRealDiff__k6_xcmplx_0__rm322_r1_rm323, axiom, k6_xcmplx_0(k4_xcmplx_0(322), 1)=k4_xcmplx_0(323)).
fof(rqRealDiff__k6_xcmplx_0__rm322_r322_rm644, axiom, k6_xcmplx_0(k4_xcmplx_0(322), 322)=k4_xcmplx_0(644)).
fof(rqRealDiff__k6_xcmplx_0__rm322_r323_rm645, axiom, k6_xcmplx_0(k4_xcmplx_0(322), 323)=k4_xcmplx_0(645)).
fof(rqRealDiff__k6_xcmplx_0__rm322_rm1_rm321, axiom, k6_xcmplx_0(k4_xcmplx_0(322), k4_xcmplx_0(1))=k4_xcmplx_0(321)).
fof(rqRealDiff__k6_xcmplx_0__rm322_rm321_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(322), k4_xcmplx_0(321))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm322_rm322_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(322), k4_xcmplx_0(322))=0).
fof(rqRealDiff__k6_xcmplx_0__rm323_r0_rm323, axiom, k6_xcmplx_0(k4_xcmplx_0(323), 0)=k4_xcmplx_0(323)).
fof(rqRealDiff__k6_xcmplx_0__rm323_r322_rm645, axiom, k6_xcmplx_0(k4_xcmplx_0(323), 322)=k4_xcmplx_0(645)).
fof(rqRealDiff__k6_xcmplx_0__rm323_r323_rm646, axiom, k6_xcmplx_0(k4_xcmplx_0(323), 323)=k4_xcmplx_0(646)).
fof(rqRealDiff__k6_xcmplx_0__rm323_rm1_rm322, axiom, k6_xcmplx_0(k4_xcmplx_0(323), k4_xcmplx_0(1))=k4_xcmplx_0(322)).
fof(rqRealDiff__k6_xcmplx_0__rm323_rm321_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(323), k4_xcmplx_0(321))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm323_rm322_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(323), k4_xcmplx_0(322))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm323_rm323_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(323), k4_xcmplx_0(323))=0).
fof(rqRealDiff__k6_xcmplx_0__rm644_rm644_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(644), k4_xcmplx_0(644))=0).
fof(rqRealDiff__k6_xcmplx_0__rm645_rm1_rm644, axiom, k6_xcmplx_0(k4_xcmplx_0(645), k4_xcmplx_0(1))=k4_xcmplx_0(644)).
fof(rqRealDiff__k6_xcmplx_0__rm645_rm322_rm323, axiom, k6_xcmplx_0(k4_xcmplx_0(645), k4_xcmplx_0(322))=k4_xcmplx_0(323)).
fof(rqRealDiff__k6_xcmplx_0__rm646_r0_rm646, axiom, k6_xcmplx_0(k4_xcmplx_0(646), 0)=k4_xcmplx_0(646)).
fof(rqRealDiff__k6_xcmplx_0__rm646_rm1_rm645, axiom, k6_xcmplx_0(k4_xcmplx_0(646), k4_xcmplx_0(1))=k4_xcmplx_0(645)).
fof(rqRealDiff__k6_xcmplx_0__rm646_rm2_rm644, axiom, k6_xcmplx_0(k4_xcmplx_0(646), k4_xcmplx_0(2))=k4_xcmplx_0(644)).
fof(rqRealDiff__k6_xcmplx_0__rm646_rm646_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(646), k4_xcmplx_0(646))=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__rn2d323_rn1d323_rn1d323, axiom, k6_xcmplx_0(k7_xcmplx_0(2, 323), k7_xcmplx_0(1, 323))=k7_xcmplx_0(1, 323)).
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_r323_rn1d323, axiom, k7_xcmplx_0(1, 323)=k7_xcmplx_0(1, 323)).
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__r2_r323_rn2d323, axiom, k7_xcmplx_0(2, 323)=k7_xcmplx_0(2, 323)).
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_r321_r0, axiom, k3_xcmplx_0(0, 321)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r322_r0, axiom, k3_xcmplx_0(0, 322)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r323_r0, axiom, k3_xcmplx_0(0, 323)=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_r321_r321, axiom, k3_xcmplx_0(1, 321)=321).
fof(rqRealMult__k3_xcmplx_0__r1_r322_r322, axiom, k3_xcmplx_0(1, 322)=322).
fof(rqRealMult__k3_xcmplx_0__r1_r323_r323, axiom, k3_xcmplx_0(1, 323)=323).
fof(rqRealMult__k3_xcmplx_0__r1_r644_r644, axiom, k3_xcmplx_0(1, 644)=644).
fof(rqRealMult__k3_xcmplx_0__r1_r645_r645, axiom, k3_xcmplx_0(1, 645)=645).
fof(rqRealMult__k3_xcmplx_0__r1_r646_r646, axiom, k3_xcmplx_0(1, 646)=646).
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_r322_r644, axiom, k3_xcmplx_0(2, 322)=644).
fof(rqRealMult__k3_xcmplx_0__r2_r323_r646, axiom, k3_xcmplx_0(2, 323)=646).
fof(rqRealMult__k3_xcmplx_0__r2_rm323_rm646, axiom, k3_xcmplx_0(2, k4_xcmplx_0(323))=k4_xcmplx_0(646)).
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_rn1d323_rn2d323, axiom, k3_xcmplx_0(2, k7_xcmplx_0(1, 323))=k7_xcmplx_0(2, 323)).
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__r321_r0_r0, axiom, k3_xcmplx_0(321, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r322_r0_r0, axiom, k3_xcmplx_0(322, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r322_r2_r644, axiom, k3_xcmplx_0(322, 2)=644).
fof(rqRealMult__k3_xcmplx_0__r323_r0_r0, axiom, k3_xcmplx_0(323, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r323_r2_r646, axiom, k3_xcmplx_0(323, 2)=646).
fof(rqRealMult__k3_xcmplx_0__r644_r1_r644, axiom, k3_xcmplx_0(644, 1)=644).
fof(rqRealMult__k3_xcmplx_0__r645_r1_r645, axiom, k3_xcmplx_0(645, 1)=645).
fof(rqRealMult__k3_xcmplx_0__r646_r1_r646, axiom, k3_xcmplx_0(646, 1)=646).
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_rm322_r644, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(322))=644).
fof(rqRealMult__k3_xcmplx_0__rm2_rm323_r646, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(323))=646).
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__rm645_r1_rm645, axiom, k3_xcmplx_0(k4_xcmplx_0(645), 1)=k4_xcmplx_0(645)).
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__rn1d323_r1_rn1d323, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 323), 1)=k7_xcmplx_0(1, 323)).
fof(rqRealMult__k3_xcmplx_0__rn1d323_r2_rn2d323, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 323), 2)=k7_xcmplx_0(2, 323)).
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_r644_rm322, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 644)=k4_xcmplx_0(322)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r646_rm323, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 646)=k4_xcmplx_0(323)).
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__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r321_rm321, axiom, k4_xcmplx_0(321)=k4_xcmplx_0(321)).
fof(rqRealNeg__k4_xcmplx_0__r322_rm322, axiom, k4_xcmplx_0(322)=k4_xcmplx_0(322)).
fof(rqRealNeg__k4_xcmplx_0__r323_rm323, axiom, k4_xcmplx_0(323)=k4_xcmplx_0(323)).
fof(rqRealNeg__k4_xcmplx_0__r644_rm644, axiom, k4_xcmplx_0(644)=k4_xcmplx_0(644)).
fof(rqRealNeg__k4_xcmplx_0__r645_rm645, axiom, k4_xcmplx_0(645)=k4_xcmplx_0(645)).
fof(rqRealNeg__k4_xcmplx_0__r646_rm646, axiom, k4_xcmplx_0(646)=k4_xcmplx_0(646)).
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__rm321_r321, axiom, k4_xcmplx_0(k4_xcmplx_0(321))=321).
fof(rqRealNeg__k4_xcmplx_0__rm322_r322, axiom, k4_xcmplx_0(k4_xcmplx_0(322))=322).
fof(rqRealNeg__k4_xcmplx_0__rm323_r323, axiom, k4_xcmplx_0(k4_xcmplx_0(323))=323).
fof(rqRealNeg__k4_xcmplx_0__rm644_r644, axiom, k4_xcmplx_0(k4_xcmplx_0(644))=644).
fof(rqRealNeg__k4_xcmplx_0__rm645_r645, axiom, k4_xcmplx_0(k4_xcmplx_0(645))=645).
fof(rqRealNeg__k4_xcmplx_0__rm646_r646, axiom, k4_xcmplx_0(k4_xcmplx_0(646))=646).
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__rn1d323_rnm1d323, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 323))=k7_xcmplx_0(k4_xcmplx_0(1), 323)).
fof(rqRealNeg__k4_xcmplx_0__rn2d323_rnm2d323, axiom, k4_xcmplx_0(k7_xcmplx_0(2, 323))=k7_xcmplx_0(k4_xcmplx_0(2), 323)).
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(spc321_numerals, axiom,  (v2_xxreal_0(321) & m1_subset_1(321, k4_ordinal1)) ).
fof(spc322_numerals, axiom,  (v2_xxreal_0(322) & m1_subset_1(322, k4_ordinal1)) ).
fof(spc323_numerals, axiom,  (v2_xxreal_0(323) & m1_subset_1(323, 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(spc644_numerals, axiom,  (v2_xxreal_0(644) & m1_subset_1(644, k4_ordinal1)) ).
fof(spc645_numerals, axiom,  (v2_xxreal_0(645) & m1_subset_1(645, k4_ordinal1)) ).
fof(spc646_numerals, axiom,  (v2_xxreal_0(646) & m1_subset_1(646, 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) ) ).
