% Mizar problem: t1000_xprimes0,xprimes0,7005,7 
fof(t1000_xprimes0, conjecture,  ~ (v1_int_2(1000)) ).
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_r498_rm498, axiom, k6_xcmplx_0(0, 498)=k4_xcmplx_0(498)).
fof(rqRealDiff__k6_xcmplx_0__r0_r499_rm499, axiom, k6_xcmplx_0(0, 499)=k4_xcmplx_0(499)).
fof(rqRealDiff__k6_xcmplx_0__r0_r500_rm500, axiom, k6_xcmplx_0(0, 500)=k4_xcmplx_0(500)).
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__r1000_r0_r1000, axiom, k6_xcmplx_0(1000, 0)=1000).
fof(rqRealDiff__k6_xcmplx_0__r1000_r1000_r0, axiom, k6_xcmplx_0(1000, 1000)=0).
fof(rqRealDiff__k6_xcmplx_0__r1000_r1_r999, axiom, k6_xcmplx_0(1000, 1)=999).
fof(rqRealDiff__k6_xcmplx_0__r1000_r2_r998, axiom, k6_xcmplx_0(1000, 2)=998).
fof(rqRealDiff__k6_xcmplx_0__r1000_r500_r500, axiom, k6_xcmplx_0(1000, 500)=500).
fof(rqRealDiff__k6_xcmplx_0__r1000_r999_r1, axiom, k6_xcmplx_0(1000, 999)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1000_rm999, axiom, k6_xcmplx_0(1, 1000)=k4_xcmplx_0(999)).
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_r499_rm498, axiom, k6_xcmplx_0(1, 499)=k4_xcmplx_0(498)).
fof(rqRealDiff__k6_xcmplx_0__r1_r500_rm499, axiom, k6_xcmplx_0(1, 500)=k4_xcmplx_0(499)).
fof(rqRealDiff__k6_xcmplx_0__r1_r999_rm998, axiom, k6_xcmplx_0(1, 999)=k4_xcmplx_0(998)).
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_r1000_rm998, axiom, k6_xcmplx_0(2, 1000)=k4_xcmplx_0(998)).
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_r500_rm498, axiom, k6_xcmplx_0(2, 500)=k4_xcmplx_0(498)).
fof(rqRealDiff__k6_xcmplx_0__r2_rm998_r1000, axiom, k6_xcmplx_0(2, k4_xcmplx_0(998))=1000).
fof(rqRealDiff__k6_xcmplx_0__r498_r0_r498, axiom, k6_xcmplx_0(498, 0)=498).
fof(rqRealDiff__k6_xcmplx_0__r498_r498_r0, axiom, k6_xcmplx_0(498, 498)=0).
fof(rqRealDiff__k6_xcmplx_0__r498_r998_rm500, axiom, k6_xcmplx_0(498, 998)=k4_xcmplx_0(500)).
fof(rqRealDiff__k6_xcmplx_0__r499_r0_r499, axiom, k6_xcmplx_0(499, 0)=499).
fof(rqRealDiff__k6_xcmplx_0__r499_r1_r498, axiom, k6_xcmplx_0(499, 1)=498).
fof(rqRealDiff__k6_xcmplx_0__r499_r498_r1, axiom, k6_xcmplx_0(499, 498)=1).
fof(rqRealDiff__k6_xcmplx_0__r499_r499_r0, axiom, k6_xcmplx_0(499, 499)=0).
fof(rqRealDiff__k6_xcmplx_0__r499_rm499_r998, axiom, k6_xcmplx_0(499, k4_xcmplx_0(499))=998).
fof(rqRealDiff__k6_xcmplx_0__r500_r0_r500, axiom, k6_xcmplx_0(500, 0)=500).
fof(rqRealDiff__k6_xcmplx_0__r500_r1_r499, axiom, k6_xcmplx_0(500, 1)=499).
fof(rqRealDiff__k6_xcmplx_0__r500_r2_r498, axiom, k6_xcmplx_0(500, 2)=498).
fof(rqRealDiff__k6_xcmplx_0__r500_rm500_r1000, axiom, k6_xcmplx_0(500, k4_xcmplx_0(500))=1000).
fof(rqRealDiff__k6_xcmplx_0__r998_r0_r998, axiom, k6_xcmplx_0(998, 0)=998).
fof(rqRealDiff__k6_xcmplx_0__r998_r498_r500, axiom, k6_xcmplx_0(998, 498)=500).
fof(rqRealDiff__k6_xcmplx_0__r998_r499_r499, axiom, k6_xcmplx_0(998, 499)=499).
fof(rqRealDiff__k6_xcmplx_0__r999_r0_r999, axiom, k6_xcmplx_0(999, 0)=999).
fof(rqRealDiff__k6_xcmplx_0__r999_r1000_rm1, axiom, k6_xcmplx_0(999, 1000)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r999_r1_r998, axiom, k6_xcmplx_0(999, 1)=998).
fof(rqRealDiff__k6_xcmplx_0__rm1000_rm1000_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1000), k4_xcmplx_0(1000))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1000_rm1_rm999, axiom, k6_xcmplx_0(k4_xcmplx_0(1000), k4_xcmplx_0(1))=k4_xcmplx_0(999)).
fof(rqRealDiff__k6_xcmplx_0__rm1000_rm999_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1000), k4_xcmplx_0(999))=k4_xcmplx_0(1)).
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_rm1000_r999, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1000))=999).
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_rm499_r498, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(499))=498).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm500_r499, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(500))=499).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm999_r998, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(999))=998).
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_rm1000_r998, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1000))=998).
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_rm500_r498, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(500))=498).
fof(rqRealDiff__k6_xcmplx_0__rm498_r1_rm499, axiom, k6_xcmplx_0(k4_xcmplx_0(498), 1)=k4_xcmplx_0(499)).
fof(rqRealDiff__k6_xcmplx_0__rm498_r2_rm500, axiom, k6_xcmplx_0(k4_xcmplx_0(498), 2)=k4_xcmplx_0(500)).
fof(rqRealDiff__k6_xcmplx_0__rm498_rm498_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(498), k4_xcmplx_0(498))=0).
fof(rqRealDiff__k6_xcmplx_0__rm499_r0_rm499, axiom, k6_xcmplx_0(k4_xcmplx_0(499), 0)=k4_xcmplx_0(499)).
fof(rqRealDiff__k6_xcmplx_0__rm499_r1_rm500, axiom, k6_xcmplx_0(k4_xcmplx_0(499), 1)=k4_xcmplx_0(500)).
fof(rqRealDiff__k6_xcmplx_0__rm499_r499_rm998, axiom, k6_xcmplx_0(k4_xcmplx_0(499), 499)=k4_xcmplx_0(998)).
fof(rqRealDiff__k6_xcmplx_0__rm499_rm1_rm498, axiom, k6_xcmplx_0(k4_xcmplx_0(499), k4_xcmplx_0(1))=k4_xcmplx_0(498)).
fof(rqRealDiff__k6_xcmplx_0__rm499_rm498_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(499), k4_xcmplx_0(498))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm499_rm499_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(499), k4_xcmplx_0(499))=0).
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_r500_rm1000, axiom, k6_xcmplx_0(k4_xcmplx_0(500), 500)=k4_xcmplx_0(1000)).
fof(rqRealDiff__k6_xcmplx_0__rm500_rm1_rm499, axiom, k6_xcmplx_0(k4_xcmplx_0(500), k4_xcmplx_0(1))=k4_xcmplx_0(499)).
fof(rqRealDiff__k6_xcmplx_0__rm500_rm498_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(500), k4_xcmplx_0(498))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm500_rm499_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(500), k4_xcmplx_0(499))=k4_xcmplx_0(1)).
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__rm998_r1_rm999, axiom, k6_xcmplx_0(k4_xcmplx_0(998), 1)=k4_xcmplx_0(999)).
fof(rqRealDiff__k6_xcmplx_0__rm998_rm998_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(998), k4_xcmplx_0(998))=0).
fof(rqRealDiff__k6_xcmplx_0__rm999_r1_rm1000, axiom, k6_xcmplx_0(k4_xcmplx_0(999), 1)=k4_xcmplx_0(1000)).
fof(rqRealDiff__k6_xcmplx_0__rm999_rm1000_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(999), k4_xcmplx_0(1000))=1).
fof(rqRealDiff__k6_xcmplx_0__rm999_rm999_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(999), k4_xcmplx_0(999))=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_rm499_rnm1d499, axiom, k7_xcmplx_0(1, k4_xcmplx_0(499))=k7_xcmplx_0(k4_xcmplx_0(1), 499)).
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_r498_r0, axiom, k3_xcmplx_0(0, 498)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r500_r0, axiom, k3_xcmplx_0(0, 500)=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__r1000_r1_r1000, axiom, k3_xcmplx_0(1000, 1)=1000).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r1000_r1000, axiom, k3_xcmplx_0(1, 1000)=1000).
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_r498_r498, axiom, k3_xcmplx_0(1, 498)=498).
fof(rqRealMult__k3_xcmplx_0__r1_r499_r499, axiom, k3_xcmplx_0(1, 499)=499).
fof(rqRealMult__k3_xcmplx_0__r1_r500_r500, axiom, k3_xcmplx_0(1, 500)=500).
fof(rqRealMult__k3_xcmplx_0__r1_r998_r998, axiom, k3_xcmplx_0(1, 998)=998).
fof(rqRealMult__k3_xcmplx_0__r1_r999_r999, axiom, k3_xcmplx_0(1, 999)=999).
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_r499_r998, axiom, k3_xcmplx_0(2, 499)=998).
fof(rqRealMult__k3_xcmplx_0__r2_r500_r1000, axiom, k3_xcmplx_0(2, 500)=1000).
fof(rqRealMult__k3_xcmplx_0__r2_rm499_rm998, axiom, k3_xcmplx_0(2, k4_xcmplx_0(499))=k4_xcmplx_0(998)).
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__r498_r0_r0, axiom, k3_xcmplx_0(498, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r498_r1_r498, axiom, k3_xcmplx_0(498, 1)=498).
fof(rqRealMult__k3_xcmplx_0__r499_r1_r499, axiom, k3_xcmplx_0(499, 1)=499).
fof(rqRealMult__k3_xcmplx_0__r499_r2_r998, axiom, k3_xcmplx_0(499, 2)=998).
fof(rqRealMult__k3_xcmplx_0__r500_r0_r0, axiom, k3_xcmplx_0(500, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r500_r2_r1000, axiom, k3_xcmplx_0(500, 2)=1000).
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_rm499_r998, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(499))=998).
fof(rqRealMult__k3_xcmplx_0__rm2_rm500_r1000, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(500))=1000).
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__rm499_r1_rm499, axiom, k3_xcmplx_0(k4_xcmplx_0(499), 1)=k4_xcmplx_0(499)).
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_r1000_rm500, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1000)=k4_xcmplx_0(500)).
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_r998_rm499, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 998)=k4_xcmplx_0(499)).
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__rnm1d499_rm499_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 499), k4_xcmplx_0(499))=1).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r1000_rm1000, axiom, k4_xcmplx_0(1000)=k4_xcmplx_0(1000)).
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__r498_rm498, axiom, k4_xcmplx_0(498)=k4_xcmplx_0(498)).
fof(rqRealNeg__k4_xcmplx_0__r499_rm499, axiom, k4_xcmplx_0(499)=k4_xcmplx_0(499)).
fof(rqRealNeg__k4_xcmplx_0__r500_rm500, axiom, k4_xcmplx_0(500)=k4_xcmplx_0(500)).
fof(rqRealNeg__k4_xcmplx_0__r998_rm998, axiom, k4_xcmplx_0(998)=k4_xcmplx_0(998)).
fof(rqRealNeg__k4_xcmplx_0__r999_rm999, axiom, k4_xcmplx_0(999)=k4_xcmplx_0(999)).
fof(rqRealNeg__k4_xcmplx_0__rm1000_r1000, axiom, k4_xcmplx_0(k4_xcmplx_0(1000))=1000).
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__rm498_r498, axiom, k4_xcmplx_0(k4_xcmplx_0(498))=498).
fof(rqRealNeg__k4_xcmplx_0__rm499_r499, axiom, k4_xcmplx_0(k4_xcmplx_0(499))=499).
fof(rqRealNeg__k4_xcmplx_0__rm500_r500, axiom, k4_xcmplx_0(k4_xcmplx_0(500))=500).
fof(rqRealNeg__k4_xcmplx_0__rm998_r998, axiom, k4_xcmplx_0(k4_xcmplx_0(998))=998).
fof(rqRealNeg__k4_xcmplx_0__rm999_r999, axiom, k4_xcmplx_0(k4_xcmplx_0(999))=999).
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(spc1000_numerals, axiom,  (v2_xxreal_0(1000) & m1_subset_1(1000, 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(spc498_numerals, axiom,  (v2_xxreal_0(498) & m1_subset_1(498, k4_ordinal1)) ).
fof(spc499_numerals, axiom,  (v2_xxreal_0(499) & m1_subset_1(499, 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(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(spc998_numerals, axiom,  (v2_xxreal_0(998) & m1_subset_1(998, k4_ordinal1)) ).
fof(spc999_numerals, axiom,  (v2_xxreal_0(999) & m1_subset_1(999, 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) ) ).
