% Mizar problem: t689_xprimes0,xprimes0,4781,7 
fof(t689_xprimes0, conjecture,  ~ (v1_int_2(689)) ).
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_r12_rm12, axiom, k6_xcmplx_0(0, 12)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r0_r13_rm13, axiom, k6_xcmplx_0(0, 13)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r40_rm40, axiom, k6_xcmplx_0(0, 40)=k4_xcmplx_0(40)).
fof(rqRealDiff__k6_xcmplx_0__r0_r52_rm52, axiom, k6_xcmplx_0(0, 52)=k4_xcmplx_0(52)).
fof(rqRealDiff__k6_xcmplx_0__r0_r53_rm53, axiom, k6_xcmplx_0(0, 53)=k4_xcmplx_0(53)).
fof(rqRealDiff__k6_xcmplx_0__r0_r636_rm636, axiom, k6_xcmplx_0(0, 636)=k4_xcmplx_0(636)).
fof(rqRealDiff__k6_xcmplx_0__r0_r676_rm676, axiom, k6_xcmplx_0(0, 676)=k4_xcmplx_0(676)).
fof(rqRealDiff__k6_xcmplx_0__r0_r688_rm688, axiom, k6_xcmplx_0(0, 688)=k4_xcmplx_0(688)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d12_rnm1d12, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 12))=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
fof(rqRealDiff__k6_xcmplx_0__r12_r0_r12, axiom, k6_xcmplx_0(12, 0)=12).
fof(rqRealDiff__k6_xcmplx_0__r12_r12_r0, axiom, k6_xcmplx_0(12, 12)=0).
fof(rqRealDiff__k6_xcmplx_0__r12_r13_rm1, axiom, k6_xcmplx_0(12, 13)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r12_r52_rm40, axiom, k6_xcmplx_0(12, 52)=k4_xcmplx_0(40)).
fof(rqRealDiff__k6_xcmplx_0__r12_rm1_r13, axiom, k6_xcmplx_0(12, k4_xcmplx_0(1))=13).
fof(rqRealDiff__k6_xcmplx_0__r13_r0_r13, axiom, k6_xcmplx_0(13, 0)=13).
fof(rqRealDiff__k6_xcmplx_0__r13_r12_r1, axiom, k6_xcmplx_0(13, 12)=1).
fof(rqRealDiff__k6_xcmplx_0__r13_r13_r0, axiom, k6_xcmplx_0(13, 13)=0).
fof(rqRealDiff__k6_xcmplx_0__r13_r1_r12, axiom, k6_xcmplx_0(13, 1)=12).
fof(rqRealDiff__k6_xcmplx_0__r13_r53_rm40, axiom, k6_xcmplx_0(13, 53)=k4_xcmplx_0(40)).
fof(rqRealDiff__k6_xcmplx_0__r13_r689_rm676, axiom, k6_xcmplx_0(13, 689)=k4_xcmplx_0(676)).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r13_rm12, axiom, k6_xcmplx_0(1, 13)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r53_rm52, axiom, k6_xcmplx_0(1, 53)=k4_xcmplx_0(52)).
fof(rqRealDiff__k6_xcmplx_0__r1_r689_rm688, axiom, k6_xcmplx_0(1, 689)=k4_xcmplx_0(688)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm12_r13, axiom, k6_xcmplx_0(1, k4_xcmplx_0(12))=13).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d12_rn13d12, axiom, k6_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 12))=k7_xcmplx_0(13, 12)).
fof(rqRealDiff__k6_xcmplx_0__r40_r0_r40, axiom, k6_xcmplx_0(40, 0)=40).
fof(rqRealDiff__k6_xcmplx_0__r40_r40_r0, axiom, k6_xcmplx_0(40, 40)=0).
fof(rqRealDiff__k6_xcmplx_0__r40_r52_rm12, axiom, k6_xcmplx_0(40, 52)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r40_r53_rm13, axiom, k6_xcmplx_0(40, 53)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__r40_r676_rm636, axiom, k6_xcmplx_0(40, 676)=k4_xcmplx_0(636)).
fof(rqRealDiff__k6_xcmplx_0__r52_r0_r52, axiom, k6_xcmplx_0(52, 0)=52).
fof(rqRealDiff__k6_xcmplx_0__r52_r12_r40, axiom, k6_xcmplx_0(52, 12)=40).
fof(rqRealDiff__k6_xcmplx_0__r52_r40_r12, axiom, k6_xcmplx_0(52, 40)=12).
fof(rqRealDiff__k6_xcmplx_0__r52_r52_r0, axiom, k6_xcmplx_0(52, 52)=0).
fof(rqRealDiff__k6_xcmplx_0__r52_r53_rm1, axiom, k6_xcmplx_0(52, 53)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r53_r0_r53, axiom, k6_xcmplx_0(53, 0)=53).
fof(rqRealDiff__k6_xcmplx_0__r53_r13_r40, axiom, k6_xcmplx_0(53, 13)=40).
fof(rqRealDiff__k6_xcmplx_0__r53_r1_r52, axiom, k6_xcmplx_0(53, 1)=52).
fof(rqRealDiff__k6_xcmplx_0__r53_r40_r13, axiom, k6_xcmplx_0(53, 40)=13).
fof(rqRealDiff__k6_xcmplx_0__r53_r52_r1, axiom, k6_xcmplx_0(53, 52)=1).
fof(rqRealDiff__k6_xcmplx_0__r53_r53_r0, axiom, k6_xcmplx_0(53, 53)=0).
fof(rqRealDiff__k6_xcmplx_0__r636_r0_r636, axiom, k6_xcmplx_0(636, 0)=636).
fof(rqRealDiff__k6_xcmplx_0__r676_r0_r676, axiom, k6_xcmplx_0(676, 0)=676).
fof(rqRealDiff__k6_xcmplx_0__r676_r40_r636, axiom, k6_xcmplx_0(676, 40)=636).
fof(rqRealDiff__k6_xcmplx_0__r688_r0_r688, axiom, k6_xcmplx_0(688, 0)=688).
fof(rqRealDiff__k6_xcmplx_0__r688_r12_r676, axiom, k6_xcmplx_0(688, 12)=676).
fof(rqRealDiff__k6_xcmplx_0__r688_r52_r636, axiom, k6_xcmplx_0(688, 52)=636).
fof(rqRealDiff__k6_xcmplx_0__r688_r676_r12, axiom, k6_xcmplx_0(688, 676)=12).
fof(rqRealDiff__k6_xcmplx_0__r689_r0_r689, axiom, k6_xcmplx_0(689, 0)=689).
fof(rqRealDiff__k6_xcmplx_0__r689_r13_r676, axiom, k6_xcmplx_0(689, 13)=676).
fof(rqRealDiff__k6_xcmplx_0__r689_r1_r688, axiom, k6_xcmplx_0(689, 1)=688).
fof(rqRealDiff__k6_xcmplx_0__r689_r53_r636, axiom, k6_xcmplx_0(689, 53)=636).
fof(rqRealDiff__k6_xcmplx_0__r689_r688_r1, axiom, k6_xcmplx_0(689, 688)=1).
fof(rqRealDiff__k6_xcmplx_0__rm12_r0_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 0)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm12_r1_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 1)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm12_r40_rm52, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 40)=k4_xcmplx_0(52)).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm12_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(12))=0).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm13_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(13))=1).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm52_r40, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(52))=40).
fof(rqRealDiff__k6_xcmplx_0__rm13_r0_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(13), 0)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm12_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(12))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm13_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(13))=0).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm1_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(1))=k4_xcmplx_0(12)).
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_r12_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 12)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r52_rm53, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 52)=k4_xcmplx_0(53)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm13_r12, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(13))=12).
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_rm53_r52, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(53))=52).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm689_r688, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(689))=688).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d12_rnm13d12, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 12))=k7_xcmplx_0(k4_xcmplx_0(13), 12)).
fof(rqRealDiff__k6_xcmplx_0__rm40_r0_rm40, axiom, k6_xcmplx_0(k4_xcmplx_0(40), 0)=k4_xcmplx_0(40)).
fof(rqRealDiff__k6_xcmplx_0__rm40_rm40_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(40), k4_xcmplx_0(40))=0).
fof(rqRealDiff__k6_xcmplx_0__rm40_rm52_r12, axiom, k6_xcmplx_0(k4_xcmplx_0(40), k4_xcmplx_0(52))=12).
fof(rqRealDiff__k6_xcmplx_0__rm52_r0_rm52, axiom, k6_xcmplx_0(k4_xcmplx_0(52), 0)=k4_xcmplx_0(52)).
fof(rqRealDiff__k6_xcmplx_0__rm52_rm12_rm40, axiom, k6_xcmplx_0(k4_xcmplx_0(52), k4_xcmplx_0(12))=k4_xcmplx_0(40)).
fof(rqRealDiff__k6_xcmplx_0__rm52_rm40_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(52), k4_xcmplx_0(40))=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm52_rm52_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(52), k4_xcmplx_0(52))=0).
fof(rqRealDiff__k6_xcmplx_0__rm53_r0_rm53, axiom, k6_xcmplx_0(k4_xcmplx_0(53), 0)=k4_xcmplx_0(53)).
fof(rqRealDiff__k6_xcmplx_0__rm53_rm13_rm40, axiom, k6_xcmplx_0(k4_xcmplx_0(53), k4_xcmplx_0(13))=k4_xcmplx_0(40)).
fof(rqRealDiff__k6_xcmplx_0__rm53_rm1_rm52, axiom, k6_xcmplx_0(k4_xcmplx_0(53), k4_xcmplx_0(1))=k4_xcmplx_0(52)).
fof(rqRealDiff__k6_xcmplx_0__rm53_rm40_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(53), k4_xcmplx_0(40))=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm53_rm53_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(53), k4_xcmplx_0(53))=0).
fof(rqRealDiff__k6_xcmplx_0__rm636_r0_rm636, axiom, k6_xcmplx_0(k4_xcmplx_0(636), 0)=k4_xcmplx_0(636)).
fof(rqRealDiff__k6_xcmplx_0__rm636_r52_rm688, axiom, k6_xcmplx_0(k4_xcmplx_0(636), 52)=k4_xcmplx_0(688)).
fof(rqRealDiff__k6_xcmplx_0__rm636_rm636_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(636), k4_xcmplx_0(636))=0).
fof(rqRealDiff__k6_xcmplx_0__rm676_r0_rm676, axiom, k6_xcmplx_0(k4_xcmplx_0(676), 0)=k4_xcmplx_0(676)).
fof(rqRealDiff__k6_xcmplx_0__rm676_rm676_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(676), k4_xcmplx_0(676))=0).
fof(rqRealDiff__k6_xcmplx_0__rm688_r0_rm688, axiom, k6_xcmplx_0(k4_xcmplx_0(688), 0)=k4_xcmplx_0(688)).
fof(rqRealDiff__k6_xcmplx_0__rm688_r1_rm689, axiom, k6_xcmplx_0(k4_xcmplx_0(688), 1)=k4_xcmplx_0(689)).
fof(rqRealDiff__k6_xcmplx_0__rm688_rm688_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(688), k4_xcmplx_0(688))=0).
fof(rqRealDiff__k6_xcmplx_0__rm689_rm689_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(689), k4_xcmplx_0(689))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_r0_rn1d12, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 12), 0)=k7_xcmplx_0(1, 12)).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_rn1d12_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 12), k7_xcmplx_0(1, 12))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_r1_rnm13d12, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), 1)=k7_xcmplx_0(k4_xcmplx_0(13), 12)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_rnm1d12_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), k7_xcmplx_0(k4_xcmplx_0(1), 12))=0).
fof(rqRealDiv__k7_xcmplx_0__r12_r12_r1, axiom, k7_xcmplx_0(12, 12)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r12_rn1d12, axiom, k7_xcmplx_0(1, 12)=k7_xcmplx_0(1, 12)).
fof(rqRealDiv__k7_xcmplx_0__r1_r13_rn1d13, axiom, k7_xcmplx_0(1, 13)=k7_xcmplx_0(1, 13)).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_rm12_rnm1d12, axiom, k7_xcmplx_0(1, k4_xcmplx_0(12))=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm13_rnm1d13, axiom, k7_xcmplx_0(1, k4_xcmplx_0(13))=k7_xcmplx_0(k4_xcmplx_0(1), 13)).
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_rm53_rnm1d53, axiom, k7_xcmplx_0(1, k4_xcmplx_0(53))=k7_xcmplx_0(k4_xcmplx_0(1), 53)).
fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 1)=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_r12_r0, axiom, k3_xcmplx_0(0, 12)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r13_r0, axiom, k3_xcmplx_0(0, 13)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r636_r0, axiom, k3_xcmplx_0(0, 636)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d12_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 12))=0).
fof(rqRealMult__k3_xcmplx_0__r12_r0_r0, axiom, k3_xcmplx_0(12, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r12_r1_r12, axiom, k3_xcmplx_0(12, 1)=12).
fof(rqRealMult__k3_xcmplx_0__r12_rm53_rm636, axiom, k3_xcmplx_0(12, k4_xcmplx_0(53))=k4_xcmplx_0(636)).
fof(rqRealMult__k3_xcmplx_0__r12_rn1d12_r1, axiom, k3_xcmplx_0(12, k7_xcmplx_0(1, 12))=1).
fof(rqRealMult__k3_xcmplx_0__r12_rnm1d12_rm1, axiom, k3_xcmplx_0(12, k7_xcmplx_0(k4_xcmplx_0(1), 12))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r13_r0_r0, axiom, k3_xcmplx_0(13, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r13_r1_r13, axiom, k3_xcmplx_0(13, 1)=13).
fof(rqRealMult__k3_xcmplx_0__r13_r52_r676, axiom, k3_xcmplx_0(13, 52)=676).
fof(rqRealMult__k3_xcmplx_0__r13_r53_r689, axiom, k3_xcmplx_0(13, 53)=689).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r12_r12, axiom, k3_xcmplx_0(1, 12)=12).
fof(rqRealMult__k3_xcmplx_0__r1_r13_r13, axiom, k3_xcmplx_0(1, 13)=13).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r40_r40, axiom, k3_xcmplx_0(1, 40)=40).
fof(rqRealMult__k3_xcmplx_0__r1_r52_r52, axiom, k3_xcmplx_0(1, 52)=52).
fof(rqRealMult__k3_xcmplx_0__r1_r53_r53, axiom, k3_xcmplx_0(1, 53)=53).
fof(rqRealMult__k3_xcmplx_0__r1_r636_r636, axiom, k3_xcmplx_0(1, 636)=636).
fof(rqRealMult__k3_xcmplx_0__r1_r676_r676, axiom, k3_xcmplx_0(1, 676)=676).
fof(rqRealMult__k3_xcmplx_0__r1_r688_r688, axiom, k3_xcmplx_0(1, 688)=688).
fof(rqRealMult__k3_xcmplx_0__r1_r689_r689, axiom, k3_xcmplx_0(1, 689)=689).
fof(rqRealMult__k3_xcmplx_0__r1_rm12_rm12, axiom, k3_xcmplx_0(1, k4_xcmplx_0(12))=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__r1_rm13_rm13, axiom, k3_xcmplx_0(1, k4_xcmplx_0(13))=k4_xcmplx_0(13)).
fof(rqRealMult__k3_xcmplx_0__r1_rm40_rm40, axiom, k3_xcmplx_0(1, k4_xcmplx_0(40))=k4_xcmplx_0(40)).
fof(rqRealMult__k3_xcmplx_0__r1_rm52_rm52, axiom, k3_xcmplx_0(1, k4_xcmplx_0(52))=k4_xcmplx_0(52)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d12_rn1d12, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 12))=k7_xcmplx_0(1, 12)).
fof(rqRealMult__k3_xcmplx_0__r40_r1_r40, axiom, k3_xcmplx_0(40, 1)=40).
fof(rqRealMult__k3_xcmplx_0__r52_r13_r676, axiom, k3_xcmplx_0(52, 13)=676).
fof(rqRealMult__k3_xcmplx_0__r52_r1_r52, axiom, k3_xcmplx_0(52, 1)=52).
fof(rqRealMult__k3_xcmplx_0__r53_r13_r689, axiom, k3_xcmplx_0(53, 13)=689).
fof(rqRealMult__k3_xcmplx_0__r53_r1_r53, axiom, k3_xcmplx_0(53, 1)=53).
fof(rqRealMult__k3_xcmplx_0__r636_r0_r0, axiom, k3_xcmplx_0(636, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r676_r1_r676, axiom, k3_xcmplx_0(676, 1)=676).
fof(rqRealMult__k3_xcmplx_0__r688_r1_r688, axiom, k3_xcmplx_0(688, 1)=688).
fof(rqRealMult__k3_xcmplx_0__r689_r1_r689, axiom, k3_xcmplx_0(689, 1)=689).
fof(rqRealMult__k3_xcmplx_0__rm12_r1_rm12, axiom, k3_xcmplx_0(k4_xcmplx_0(12), 1)=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__rm12_rn1d12_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(12), k7_xcmplx_0(1, 12))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm12_rnm1d12_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(12), k7_xcmplx_0(k4_xcmplx_0(1), 12))=1).
fof(rqRealMult__k3_xcmplx_0__rm13_r1_rm13, axiom, k3_xcmplx_0(k4_xcmplx_0(13), 1)=k4_xcmplx_0(13)).
fof(rqRealMult__k3_xcmplx_0__rm13_rm53_r689, axiom, k3_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(53))=689).
fof(rqRealMult__k3_xcmplx_0__rm40_r1_rm40, axiom, k3_xcmplx_0(k4_xcmplx_0(40), 1)=k4_xcmplx_0(40)).
fof(rqRealMult__k3_xcmplx_0__rm52_r1_rm52, axiom, k3_xcmplx_0(k4_xcmplx_0(52), 1)=k4_xcmplx_0(52)).
fof(rqRealMult__k3_xcmplx_0__rm53_r1_rm53, axiom, k3_xcmplx_0(k4_xcmplx_0(53), 1)=k4_xcmplx_0(53)).
fof(rqRealMult__k3_xcmplx_0__rn1d12_r12_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 12), 12)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d12_r1_rn1d12, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 12), 1)=k7_xcmplx_0(1, 12)).
fof(rqRealMult__k3_xcmplx_0__rn1d12_rm12_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 12), k4_xcmplx_0(12))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn1d13_r13_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 13), 13)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d13_rm13_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 13), k4_xcmplx_0(13))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_r12_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), 12)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_r1_rnm1d12, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_rm12_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), k4_xcmplx_0(12))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d13_r689_rm53, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 13), 689)=k4_xcmplx_0(53)).
fof(rqRealMult__k3_xcmplx_0__rnm1d13_rm13_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 13), k4_xcmplx_0(13))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d53_rm53_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 53), k4_xcmplx_0(53))=1).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r12_rm12, axiom, k4_xcmplx_0(12)=k4_xcmplx_0(12)).
fof(rqRealNeg__k4_xcmplx_0__r13_rm13, axiom, k4_xcmplx_0(13)=k4_xcmplx_0(13)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r40_rm40, axiom, k4_xcmplx_0(40)=k4_xcmplx_0(40)).
fof(rqRealNeg__k4_xcmplx_0__r52_rm52, axiom, k4_xcmplx_0(52)=k4_xcmplx_0(52)).
fof(rqRealNeg__k4_xcmplx_0__r53_rm53, axiom, k4_xcmplx_0(53)=k4_xcmplx_0(53)).
fof(rqRealNeg__k4_xcmplx_0__r636_rm636, axiom, k4_xcmplx_0(636)=k4_xcmplx_0(636)).
fof(rqRealNeg__k4_xcmplx_0__r676_rm676, axiom, k4_xcmplx_0(676)=k4_xcmplx_0(676)).
fof(rqRealNeg__k4_xcmplx_0__r688_rm688, axiom, k4_xcmplx_0(688)=k4_xcmplx_0(688)).
fof(rqRealNeg__k4_xcmplx_0__r689_rm689, axiom, k4_xcmplx_0(689)=k4_xcmplx_0(689)).
fof(rqRealNeg__k4_xcmplx_0__rm12_r12, axiom, k4_xcmplx_0(k4_xcmplx_0(12))=12).
fof(rqRealNeg__k4_xcmplx_0__rm13_r13, axiom, k4_xcmplx_0(k4_xcmplx_0(13))=13).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm40_r40, axiom, k4_xcmplx_0(k4_xcmplx_0(40))=40).
fof(rqRealNeg__k4_xcmplx_0__rm52_r52, axiom, k4_xcmplx_0(k4_xcmplx_0(52))=52).
fof(rqRealNeg__k4_xcmplx_0__rm53_r53, axiom, k4_xcmplx_0(k4_xcmplx_0(53))=53).
fof(rqRealNeg__k4_xcmplx_0__rm636_r636, axiom, k4_xcmplx_0(k4_xcmplx_0(636))=636).
fof(rqRealNeg__k4_xcmplx_0__rm676_r676, axiom, k4_xcmplx_0(k4_xcmplx_0(676))=676).
fof(rqRealNeg__k4_xcmplx_0__rm688_r688, axiom, k4_xcmplx_0(k4_xcmplx_0(688))=688).
fof(rqRealNeg__k4_xcmplx_0__rm689_r689, axiom, k4_xcmplx_0(k4_xcmplx_0(689))=689).
fof(rqRealNeg__k4_xcmplx_0__rn12d13_rnm12d13, axiom, k4_xcmplx_0(k7_xcmplx_0(12, 13))=k7_xcmplx_0(k4_xcmplx_0(12), 13)).
fof(rqRealNeg__k4_xcmplx_0__rn1d12_rnm1d12, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 12))=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
fof(rqRealNeg__k4_xcmplx_0__rnm12d13_rn12d13, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(12), 13))=k7_xcmplx_0(12, 13)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d12_rn1d12, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12))=k7_xcmplx_0(1, 12)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc12_numerals, axiom,  (v2_xxreal_0(12) & m1_subset_1(12, k4_ordinal1)) ).
fof(spc13_numerals, axiom,  (v2_xxreal_0(13) & m1_subset_1(13, 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(spc40_numerals, axiom,  (v2_xxreal_0(40) & m1_subset_1(40, 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(spc52_numerals, axiom,  (v2_xxreal_0(52) & m1_subset_1(52, k4_ordinal1)) ).
fof(spc53_numerals, axiom,  (v2_xxreal_0(53) & m1_subset_1(53, k4_ordinal1)) ).
fof(spc636_numerals, axiom,  (v2_xxreal_0(636) & m1_subset_1(636, k4_ordinal1)) ).
fof(spc676_numerals, axiom,  (v2_xxreal_0(676) & m1_subset_1(676, k4_ordinal1)) ).
fof(spc688_numerals, axiom,  (v2_xxreal_0(688) & m1_subset_1(688, k4_ordinal1)) ).
fof(spc689_numerals, axiom,  (v2_xxreal_0(689) & m1_subset_1(689, 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) ) ).
