% Mizar problem: t802_xprimes0,xprimes0,5595,7 
fof(t802_xprimes0, conjecture,  ~ (v1_int_2(802)) ).
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_r399_rm399, axiom, k6_xcmplx_0(0, 399)=k4_xcmplx_0(399)).
fof(rqRealDiff__k6_xcmplx_0__r0_r400_rm400, axiom, k6_xcmplx_0(0, 400)=k4_xcmplx_0(400)).
fof(rqRealDiff__k6_xcmplx_0__r0_r401_rm401, axiom, k6_xcmplx_0(0, 401)=k4_xcmplx_0(401)).
fof(rqRealDiff__k6_xcmplx_0__r0_r800_rm800, axiom, k6_xcmplx_0(0, 800)=k4_xcmplx_0(800)).
fof(rqRealDiff__k6_xcmplx_0__r0_r801_rm801, axiom, k6_xcmplx_0(0, 801)=k4_xcmplx_0(801)).
fof(rqRealDiff__k6_xcmplx_0__r0_r802_rm802, axiom, k6_xcmplx_0(0, 802)=k4_xcmplx_0(802)).
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_rm400_r400, axiom, k6_xcmplx_0(0, k4_xcmplx_0(400))=400).
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_r400_rm399, axiom, k6_xcmplx_0(1, 400)=k4_xcmplx_0(399)).
fof(rqRealDiff__k6_xcmplx_0__r1_r401_rm400, axiom, k6_xcmplx_0(1, 401)=k4_xcmplx_0(400)).
fof(rqRealDiff__k6_xcmplx_0__r1_r801_rm800, axiom, k6_xcmplx_0(1, 801)=k4_xcmplx_0(800)).
fof(rqRealDiff__k6_xcmplx_0__r1_r802_rm801, axiom, k6_xcmplx_0(1, 802)=k4_xcmplx_0(801)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_rm400_r401, axiom, k6_xcmplx_0(1, k4_xcmplx_0(400))=401).
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_r401_rm399, axiom, k6_xcmplx_0(2, 401)=k4_xcmplx_0(399)).
fof(rqRealDiff__k6_xcmplx_0__r2_r802_rm800, axiom, k6_xcmplx_0(2, 802)=k4_xcmplx_0(800)).
fof(rqRealDiff__k6_xcmplx_0__r399_r0_r399, axiom, k6_xcmplx_0(399, 0)=399).
fof(rqRealDiff__k6_xcmplx_0__r399_r399_r0, axiom, k6_xcmplx_0(399, 399)=0).
fof(rqRealDiff__k6_xcmplx_0__r399_r400_rm1, axiom, k6_xcmplx_0(399, 400)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r399_rm1_r400, axiom, k6_xcmplx_0(399, k4_xcmplx_0(1))=400).
fof(rqRealDiff__k6_xcmplx_0__r400_r0_r400, axiom, k6_xcmplx_0(400, 0)=400).
fof(rqRealDiff__k6_xcmplx_0__r400_r1_r399, axiom, k6_xcmplx_0(400, 1)=399).
fof(rqRealDiff__k6_xcmplx_0__r400_r400_r0, axiom, k6_xcmplx_0(400, 400)=0).
fof(rqRealDiff__k6_xcmplx_0__r400_rm400_r800, axiom, k6_xcmplx_0(400, k4_xcmplx_0(400))=800).
fof(rqRealDiff__k6_xcmplx_0__r401_r0_r401, axiom, k6_xcmplx_0(401, 0)=401).
fof(rqRealDiff__k6_xcmplx_0__r401_r1_r400, axiom, k6_xcmplx_0(401, 1)=400).
fof(rqRealDiff__k6_xcmplx_0__r401_r401_r0, axiom, k6_xcmplx_0(401, 401)=0).
fof(rqRealDiff__k6_xcmplx_0__r800_r0_r800, axiom, k6_xcmplx_0(800, 0)=800).
fof(rqRealDiff__k6_xcmplx_0__r800_r400_r400, axiom, k6_xcmplx_0(800, 400)=400).
fof(rqRealDiff__k6_xcmplx_0__r800_r800_r0, axiom, k6_xcmplx_0(800, 800)=0).
fof(rqRealDiff__k6_xcmplx_0__r801_r0_r801, axiom, k6_xcmplx_0(801, 0)=801).
fof(rqRealDiff__k6_xcmplx_0__r801_r1_r800, axiom, k6_xcmplx_0(801, 1)=800).
fof(rqRealDiff__k6_xcmplx_0__r801_r800_r1, axiom, k6_xcmplx_0(801, 800)=1).
fof(rqRealDiff__k6_xcmplx_0__r802_r0_r802, axiom, k6_xcmplx_0(802, 0)=802).
fof(rqRealDiff__k6_xcmplx_0__r802_r1_r801, axiom, k6_xcmplx_0(802, 1)=801).
fof(rqRealDiff__k6_xcmplx_0__r802_r2_r800, axiom, k6_xcmplx_0(802, 2)=800).
fof(rqRealDiff__k6_xcmplx_0__r802_r401_r401, axiom, k6_xcmplx_0(802, 401)=401).
fof(rqRealDiff__k6_xcmplx_0__r802_r800_r2, axiom, k6_xcmplx_0(802, 800)=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_r399_rm400, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 399)=k4_xcmplx_0(400)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r800_rm801, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 800)=k4_xcmplx_0(801)).
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_rm400_r399, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(400))=399).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm801_r800, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(801))=800).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm802_r801, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(802))=801).
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__rm399_rm399_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(399), k4_xcmplx_0(399))=0).
fof(rqRealDiff__k6_xcmplx_0__rm400_r0_rm400, axiom, k6_xcmplx_0(k4_xcmplx_0(400), 0)=k4_xcmplx_0(400)).
fof(rqRealDiff__k6_xcmplx_0__rm400_r1_rm401, axiom, k6_xcmplx_0(k4_xcmplx_0(400), 1)=k4_xcmplx_0(401)).
fof(rqRealDiff__k6_xcmplx_0__rm400_r400_rm800, axiom, k6_xcmplx_0(k4_xcmplx_0(400), 400)=k4_xcmplx_0(800)).
fof(rqRealDiff__k6_xcmplx_0__rm400_rm1_rm399, axiom, k6_xcmplx_0(k4_xcmplx_0(400), k4_xcmplx_0(1))=k4_xcmplx_0(399)).
fof(rqRealDiff__k6_xcmplx_0__rm400_rm400_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(400), k4_xcmplx_0(400))=0).
fof(rqRealDiff__k6_xcmplx_0__rm401_rm400_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(401), k4_xcmplx_0(400))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm401_rm401_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(401), k4_xcmplx_0(401))=0).
fof(rqRealDiff__k6_xcmplx_0__rm800_r0_rm800, axiom, k6_xcmplx_0(k4_xcmplx_0(800), 0)=k4_xcmplx_0(800)).
fof(rqRealDiff__k6_xcmplx_0__rm800_r1_rm801, axiom, k6_xcmplx_0(k4_xcmplx_0(800), 1)=k4_xcmplx_0(801)).
fof(rqRealDiff__k6_xcmplx_0__rm800_r2_rm802, axiom, k6_xcmplx_0(k4_xcmplx_0(800), 2)=k4_xcmplx_0(802)).
fof(rqRealDiff__k6_xcmplx_0__rm800_rm800_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(800), k4_xcmplx_0(800))=0).
fof(rqRealDiff__k6_xcmplx_0__rm801_rm1_rm800, axiom, k6_xcmplx_0(k4_xcmplx_0(801), k4_xcmplx_0(1))=k4_xcmplx_0(800)).
fof(rqRealDiff__k6_xcmplx_0__rm801_rm800_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(801), k4_xcmplx_0(800))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm801_rm801_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(801), k4_xcmplx_0(801))=0).
fof(rqRealDiff__k6_xcmplx_0__rm802_rm800_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(802), k4_xcmplx_0(800))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm802_rm802_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(802), k4_xcmplx_0(802))=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__rn1d400_r1_rnm399d400, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 400), 1)=k7_xcmplx_0(k4_xcmplx_0(399), 400)).
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(rqRealDiff__k6_xcmplx_0__rnm1d400_rnm1d400_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 400), k7_xcmplx_0(k4_xcmplx_0(1), 400))=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_r400_rn1d400, axiom, k7_xcmplx_0(1, 400)=k7_xcmplx_0(1, 400)).
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_rm400_rnm1d400, axiom, k7_xcmplx_0(1, k4_xcmplx_0(400))=k7_xcmplx_0(k4_xcmplx_0(1), 400)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm401_rnm1d401, axiom, k7_xcmplx_0(1, k4_xcmplx_0(401))=k7_xcmplx_0(k4_xcmplx_0(1), 401)).
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__r1_rnm1d400_rm400, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 400))=k4_xcmplx_0(400)).
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_r399_r0, axiom, k3_xcmplx_0(0, 399)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r400_r0, axiom, k3_xcmplx_0(0, 400)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r801_r0, axiom, k3_xcmplx_0(0, 801)=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_r399_r399, axiom, k3_xcmplx_0(1, 399)=399).
fof(rqRealMult__k3_xcmplx_0__r1_r400_r400, axiom, k3_xcmplx_0(1, 400)=400).
fof(rqRealMult__k3_xcmplx_0__r1_r401_r401, axiom, k3_xcmplx_0(1, 401)=401).
fof(rqRealMult__k3_xcmplx_0__r1_r800_r800, axiom, k3_xcmplx_0(1, 800)=800).
fof(rqRealMult__k3_xcmplx_0__r1_r801_r801, axiom, k3_xcmplx_0(1, 801)=801).
fof(rqRealMult__k3_xcmplx_0__r1_r802_r802, axiom, k3_xcmplx_0(1, 802)=802).
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_rn1d400_rn1d400, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 400))=k7_xcmplx_0(1, 400)).
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_r400_r800, axiom, k3_xcmplx_0(2, 400)=800).
fof(rqRealMult__k3_xcmplx_0__r2_r401_r802, axiom, k3_xcmplx_0(2, 401)=802).
fof(rqRealMult__k3_xcmplx_0__r2_rm401_rm802, axiom, k3_xcmplx_0(2, k4_xcmplx_0(401))=k4_xcmplx_0(802)).
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__r399_r0_r0, axiom, k3_xcmplx_0(399, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r399_r1_r399, axiom, k3_xcmplx_0(399, 1)=399).
fof(rqRealMult__k3_xcmplx_0__r400_r0_r0, axiom, k3_xcmplx_0(400, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r400_r1_r400, axiom, k3_xcmplx_0(400, 1)=400).
fof(rqRealMult__k3_xcmplx_0__r400_r2_r800, axiom, k3_xcmplx_0(400, 2)=800).
fof(rqRealMult__k3_xcmplx_0__r400_rm2_rm800, axiom, k3_xcmplx_0(400, k4_xcmplx_0(2))=k4_xcmplx_0(800)).
fof(rqRealMult__k3_xcmplx_0__r400_rnm1d400_rm1, axiom, k3_xcmplx_0(400, k7_xcmplx_0(k4_xcmplx_0(1), 400))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r401_r1_r401, axiom, k3_xcmplx_0(401, 1)=401).
fof(rqRealMult__k3_xcmplx_0__r401_r2_r802, axiom, k3_xcmplx_0(401, 2)=802).
fof(rqRealMult__k3_xcmplx_0__r800_r1_r800, axiom, k3_xcmplx_0(800, 1)=800).
fof(rqRealMult__k3_xcmplx_0__r801_r0_r0, axiom, k3_xcmplx_0(801, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r802_r1_r802, axiom, k3_xcmplx_0(802, 1)=802).
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_rm400_r800, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(400))=800).
fof(rqRealMult__k3_xcmplx_0__rm2_rm401_r802, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(401))=802).
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__rm400_r1_rm400, axiom, k3_xcmplx_0(k4_xcmplx_0(400), 1)=k4_xcmplx_0(400)).
fof(rqRealMult__k3_xcmplx_0__rm400_r2_rm800, axiom, k3_xcmplx_0(k4_xcmplx_0(400), 2)=k4_xcmplx_0(800)).
fof(rqRealMult__k3_xcmplx_0__rm400_rnm1d400_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(400), k7_xcmplx_0(k4_xcmplx_0(1), 400))=1).
fof(rqRealMult__k3_xcmplx_0__rm401_r1_rm401, axiom, k3_xcmplx_0(k4_xcmplx_0(401), 1)=k4_xcmplx_0(401)).
fof(rqRealMult__k3_xcmplx_0__rm800_r1_rm800, axiom, k3_xcmplx_0(k4_xcmplx_0(800), 1)=k4_xcmplx_0(800)).
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__rn1d400_r1_rn1d400, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 400), 1)=k7_xcmplx_0(1, 400)).
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_r800_rm400, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 800)=k4_xcmplx_0(400)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r802_rm401, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 802)=k4_xcmplx_0(401)).
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__rnm1d400_r1_rnm1d400, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 400), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 400)).
fof(rqRealMult__k3_xcmplx_0__rnm1d400_rm400_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 400), k4_xcmplx_0(400))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d401_rm401_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 401), k4_xcmplx_0(401))=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__r399_rm399, axiom, k4_xcmplx_0(399)=k4_xcmplx_0(399)).
fof(rqRealNeg__k4_xcmplx_0__r400_rm400, axiom, k4_xcmplx_0(400)=k4_xcmplx_0(400)).
fof(rqRealNeg__k4_xcmplx_0__r401_rm401, axiom, k4_xcmplx_0(401)=k4_xcmplx_0(401)).
fof(rqRealNeg__k4_xcmplx_0__r800_rm800, axiom, k4_xcmplx_0(800)=k4_xcmplx_0(800)).
fof(rqRealNeg__k4_xcmplx_0__r801_rm801, axiom, k4_xcmplx_0(801)=k4_xcmplx_0(801)).
fof(rqRealNeg__k4_xcmplx_0__r802_rm802, axiom, k4_xcmplx_0(802)=k4_xcmplx_0(802)).
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__rm399_r399, axiom, k4_xcmplx_0(k4_xcmplx_0(399))=399).
fof(rqRealNeg__k4_xcmplx_0__rm400_r400, axiom, k4_xcmplx_0(k4_xcmplx_0(400))=400).
fof(rqRealNeg__k4_xcmplx_0__rm401_r401, axiom, k4_xcmplx_0(k4_xcmplx_0(401))=401).
fof(rqRealNeg__k4_xcmplx_0__rm800_r800, axiom, k4_xcmplx_0(k4_xcmplx_0(800))=800).
fof(rqRealNeg__k4_xcmplx_0__rm801_r801, axiom, k4_xcmplx_0(k4_xcmplx_0(801))=801).
fof(rqRealNeg__k4_xcmplx_0__rm802_r802, axiom, k4_xcmplx_0(k4_xcmplx_0(802))=802).
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__rn1d400_rnm1d400, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 400))=k7_xcmplx_0(k4_xcmplx_0(1), 400)).
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(spc399_numerals, axiom,  (v2_xxreal_0(399) & m1_subset_1(399, k4_ordinal1)) ).
fof(spc400_numerals, axiom,  (v2_xxreal_0(400) & m1_subset_1(400, k4_ordinal1)) ).
fof(spc401_numerals, axiom,  (v2_xxreal_0(401) & m1_subset_1(401, 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(spc800_numerals, axiom,  (v2_xxreal_0(800) & m1_subset_1(800, k4_ordinal1)) ).
fof(spc801_numerals, axiom,  (v2_xxreal_0(801) & m1_subset_1(801, k4_ordinal1)) ).
fof(spc802_numerals, axiom,  (v2_xxreal_0(802) & m1_subset_1(802, 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) ) ).
