% Mizar problem: t838_xprimes0,xprimes0,5847,7 
fof(t838_xprimes0, conjecture,  ~ (v1_int_2(838)) ).
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_r417_rm417, axiom, k6_xcmplx_0(0, 417)=k4_xcmplx_0(417)).
fof(rqRealDiff__k6_xcmplx_0__r0_r418_rm418, axiom, k6_xcmplx_0(0, 418)=k4_xcmplx_0(418)).
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_r418_rm417, axiom, k6_xcmplx_0(1, 418)=k4_xcmplx_0(417)).
fof(rqRealDiff__k6_xcmplx_0__r1_r419_rm418, axiom, k6_xcmplx_0(1, 419)=k4_xcmplx_0(418)).
fof(rqRealDiff__k6_xcmplx_0__r1_r837_rm836, axiom, k6_xcmplx_0(1, 837)=k4_xcmplx_0(836)).
fof(rqRealDiff__k6_xcmplx_0__r1_r838_rm837, axiom, k6_xcmplx_0(1, 838)=k4_xcmplx_0(837)).
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_r419_rm417, axiom, k6_xcmplx_0(2, 419)=k4_xcmplx_0(417)).
fof(rqRealDiff__k6_xcmplx_0__r2_r838_rm836, axiom, k6_xcmplx_0(2, 838)=k4_xcmplx_0(836)).
fof(rqRealDiff__k6_xcmplx_0__r417_r0_r417, axiom, k6_xcmplx_0(417, 0)=417).
fof(rqRealDiff__k6_xcmplx_0__r418_r0_r418, axiom, k6_xcmplx_0(418, 0)=418).
fof(rqRealDiff__k6_xcmplx_0__r418_r1_r417, axiom, k6_xcmplx_0(418, 1)=417).
fof(rqRealDiff__k6_xcmplx_0__r418_r418_r0, axiom, k6_xcmplx_0(418, 418)=0).
fof(rqRealDiff__k6_xcmplx_0__r418_r836_rm418, axiom, k6_xcmplx_0(418, 836)=k4_xcmplx_0(418)).
fof(rqRealDiff__k6_xcmplx_0__r418_rm1_r419, axiom, k6_xcmplx_0(418, k4_xcmplx_0(1))=419).
fof(rqRealDiff__k6_xcmplx_0__r418_rm418_r836, axiom, k6_xcmplx_0(418, k4_xcmplx_0(418))=836).
fof(rqRealDiff__k6_xcmplx_0__r419_r0_r419, axiom, k6_xcmplx_0(419, 0)=419).
fof(rqRealDiff__k6_xcmplx_0__r419_r1_r418, axiom, k6_xcmplx_0(419, 1)=418).
fof(rqRealDiff__k6_xcmplx_0__r419_r2_r417, axiom, k6_xcmplx_0(419, 2)=417).
fof(rqRealDiff__k6_xcmplx_0__r419_r418_r1, axiom, k6_xcmplx_0(419, 418)=1).
fof(rqRealDiff__k6_xcmplx_0__r419_r419_r0, axiom, k6_xcmplx_0(419, 419)=0).
fof(rqRealDiff__k6_xcmplx_0__r836_r0_r836, axiom, k6_xcmplx_0(836, 0)=836).
fof(rqRealDiff__k6_xcmplx_0__r836_r418_r418, axiom, k6_xcmplx_0(836, 418)=418).
fof(rqRealDiff__k6_xcmplx_0__r837_r0_r837, axiom, k6_xcmplx_0(837, 0)=837).
fof(rqRealDiff__k6_xcmplx_0__r837_r1_r836, axiom, k6_xcmplx_0(837, 1)=836).
fof(rqRealDiff__k6_xcmplx_0__r837_r836_r1, axiom, k6_xcmplx_0(837, 836)=1).
fof(rqRealDiff__k6_xcmplx_0__r838_r0_r838, axiom, k6_xcmplx_0(838, 0)=838).
fof(rqRealDiff__k6_xcmplx_0__r838_r1_r837, axiom, k6_xcmplx_0(838, 1)=837).
fof(rqRealDiff__k6_xcmplx_0__r838_r2_r836, axiom, k6_xcmplx_0(838, 2)=836).
fof(rqRealDiff__k6_xcmplx_0__r838_r419_r419, axiom, k6_xcmplx_0(838, 419)=419).
fof(rqRealDiff__k6_xcmplx_0__r838_r836_r2, axiom, k6_xcmplx_0(838, 836)=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_r418_rm419, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 418)=k4_xcmplx_0(419)).
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_rm418_r417, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(418))=417).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm837_r836, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(837))=836).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm838_r837, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(838))=837).
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__rm2_rm838_r836, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(838))=836).
fof(rqRealDiff__k6_xcmplx_0__rm417_rm417_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(417), k4_xcmplx_0(417))=0).
fof(rqRealDiff__k6_xcmplx_0__rm418_r0_rm418, axiom, k6_xcmplx_0(k4_xcmplx_0(418), 0)=k4_xcmplx_0(418)).
fof(rqRealDiff__k6_xcmplx_0__rm418_r1_rm419, axiom, k6_xcmplx_0(k4_xcmplx_0(418), 1)=k4_xcmplx_0(419)).
fof(rqRealDiff__k6_xcmplx_0__rm418_r418_rm836, axiom, k6_xcmplx_0(k4_xcmplx_0(418), 418)=k4_xcmplx_0(836)).
fof(rqRealDiff__k6_xcmplx_0__rm418_rm1_rm417, axiom, k6_xcmplx_0(k4_xcmplx_0(418), k4_xcmplx_0(1))=k4_xcmplx_0(417)).
fof(rqRealDiff__k6_xcmplx_0__rm418_rm418_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(418), k4_xcmplx_0(418))=0).
fof(rqRealDiff__k6_xcmplx_0__rm419_rm418_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(419), k4_xcmplx_0(418))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm419_rm419_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(419), k4_xcmplx_0(419))=0).
fof(rqRealDiff__k6_xcmplx_0__rm836_rm418_rm418, axiom, k6_xcmplx_0(k4_xcmplx_0(836), k4_xcmplx_0(418))=k4_xcmplx_0(418)).
fof(rqRealDiff__k6_xcmplx_0__rm836_rm836_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(836), k4_xcmplx_0(836))=0).
fof(rqRealDiff__k6_xcmplx_0__rm837_rm1_rm836, axiom, k6_xcmplx_0(k4_xcmplx_0(837), k4_xcmplx_0(1))=k4_xcmplx_0(836)).
fof(rqRealDiff__k6_xcmplx_0__rm837_rm837_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(837), k4_xcmplx_0(837))=0).
fof(rqRealDiff__k6_xcmplx_0__rm838_rm1_rm837, axiom, k6_xcmplx_0(k4_xcmplx_0(838), k4_xcmplx_0(1))=k4_xcmplx_0(837)).
fof(rqRealDiff__k6_xcmplx_0__rm838_rm838_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(838), k4_xcmplx_0(838))=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_rm419_rnm1d419, axiom, k7_xcmplx_0(1, k4_xcmplx_0(419))=k7_xcmplx_0(k4_xcmplx_0(1), 419)).
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_r417_r0, axiom, k3_xcmplx_0(0, 417)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r418_r0, axiom, k3_xcmplx_0(0, 418)=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_r417_r417, axiom, k3_xcmplx_0(1, 417)=417).
fof(rqRealMult__k3_xcmplx_0__r1_r418_r418, axiom, k3_xcmplx_0(1, 418)=418).
fof(rqRealMult__k3_xcmplx_0__r1_r419_r419, axiom, k3_xcmplx_0(1, 419)=419).
fof(rqRealMult__k3_xcmplx_0__r1_r836_r836, axiom, k3_xcmplx_0(1, 836)=836).
fof(rqRealMult__k3_xcmplx_0__r1_r837_r837, axiom, k3_xcmplx_0(1, 837)=837).
fof(rqRealMult__k3_xcmplx_0__r1_r838_r838, axiom, k3_xcmplx_0(1, 838)=838).
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_r418_r836, axiom, k3_xcmplx_0(2, 418)=836).
fof(rqRealMult__k3_xcmplx_0__r2_r419_r838, axiom, k3_xcmplx_0(2, 419)=838).
fof(rqRealMult__k3_xcmplx_0__r2_rm419_rm838, axiom, k3_xcmplx_0(2, k4_xcmplx_0(419))=k4_xcmplx_0(838)).
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__r417_r0_r0, axiom, k3_xcmplx_0(417, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r418_r0_r0, axiom, k3_xcmplx_0(418, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r418_r1_r418, axiom, k3_xcmplx_0(418, 1)=418).
fof(rqRealMult__k3_xcmplx_0__r418_r2_r836, axiom, k3_xcmplx_0(418, 2)=836).
fof(rqRealMult__k3_xcmplx_0__r419_r1_r419, axiom, k3_xcmplx_0(419, 1)=419).
fof(rqRealMult__k3_xcmplx_0__r419_r2_r838, axiom, k3_xcmplx_0(419, 2)=838).
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_rm418_r836, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(418))=836).
fof(rqRealMult__k3_xcmplx_0__rm2_rm419_r838, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(419))=838).
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__rm419_r1_rm419, axiom, k3_xcmplx_0(k4_xcmplx_0(419), 1)=k4_xcmplx_0(419)).
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_r836_rm418, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 836)=k4_xcmplx_0(418)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r838_rm419, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 838)=k4_xcmplx_0(419)).
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__rnm1d419_rm419_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 419), k4_xcmplx_0(419))=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__r417_rm417, axiom, k4_xcmplx_0(417)=k4_xcmplx_0(417)).
fof(rqRealNeg__k4_xcmplx_0__r418_rm418, axiom, k4_xcmplx_0(418)=k4_xcmplx_0(418)).
fof(rqRealNeg__k4_xcmplx_0__r419_rm419, axiom, k4_xcmplx_0(419)=k4_xcmplx_0(419)).
fof(rqRealNeg__k4_xcmplx_0__r836_rm836, axiom, k4_xcmplx_0(836)=k4_xcmplx_0(836)).
fof(rqRealNeg__k4_xcmplx_0__r837_rm837, axiom, k4_xcmplx_0(837)=k4_xcmplx_0(837)).
fof(rqRealNeg__k4_xcmplx_0__r838_rm838, axiom, k4_xcmplx_0(838)=k4_xcmplx_0(838)).
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__rm417_r417, axiom, k4_xcmplx_0(k4_xcmplx_0(417))=417).
fof(rqRealNeg__k4_xcmplx_0__rm418_r418, axiom, k4_xcmplx_0(k4_xcmplx_0(418))=418).
fof(rqRealNeg__k4_xcmplx_0__rm419_r419, axiom, k4_xcmplx_0(k4_xcmplx_0(419))=419).
fof(rqRealNeg__k4_xcmplx_0__rm836_r836, axiom, k4_xcmplx_0(k4_xcmplx_0(836))=836).
fof(rqRealNeg__k4_xcmplx_0__rm837_r837, axiom, k4_xcmplx_0(k4_xcmplx_0(837))=837).
fof(rqRealNeg__k4_xcmplx_0__rm838_r838, axiom, k4_xcmplx_0(k4_xcmplx_0(838))=838).
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(spc417_numerals, axiom,  (v2_xxreal_0(417) & m1_subset_1(417, k4_ordinal1)) ).
fof(spc418_numerals, axiom,  (v2_xxreal_0(418) & m1_subset_1(418, k4_ordinal1)) ).
fof(spc419_numerals, axiom,  (v2_xxreal_0(419) & m1_subset_1(419, 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(spc836_numerals, axiom,  (v2_xxreal_0(836) & m1_subset_1(836, k4_ordinal1)) ).
fof(spc837_numerals, axiom,  (v2_xxreal_0(837) & m1_subset_1(837, k4_ordinal1)) ).
fof(spc838_numerals, axiom,  (v2_xxreal_0(838) & m1_subset_1(838, 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) ) ).
