% Mizar problem: t1927_xprimes0,xprimes0,13671,7 
fof(t1927_xprimes0, conjecture,  ~ (v1_int_2(1927)) ).
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_r1926_rm1926, axiom, k6_xcmplx_0(0, 1926)=k4_xcmplx_0(1926)).
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_r41_rm41, axiom, k6_xcmplx_0(0, 41)=k4_xcmplx_0(41)).
fof(rqRealDiff__k6_xcmplx_0__r0_r46_rm46, axiom, k6_xcmplx_0(0, 46)=k4_xcmplx_0(46)).
fof(rqRealDiff__k6_xcmplx_0__r0_r47_rm47, axiom, k6_xcmplx_0(0, 47)=k4_xcmplx_0(47)).
fof(rqRealDiff__k6_xcmplx_0__r0_r6_rm6, axiom, k6_xcmplx_0(0, 6)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm6_r6, axiom, k6_xcmplx_0(0, k4_xcmplx_0(6))=6).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d6_rnm1d6, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 6))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d6_rn1d6, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 6))=k7_xcmplx_0(1, 6)).
fof(rqRealDiff__k6_xcmplx_0__r1880_r0_r1880, axiom, k6_xcmplx_0(1880, 0)=1880).
fof(rqRealDiff__k6_xcmplx_0__r1927_r1_r1926, axiom, k6_xcmplx_0(1927, 1)=1926).
fof(rqRealDiff__k6_xcmplx_0__r1927_r41_r1886, axiom, k6_xcmplx_0(1927, 41)=1886).
fof(rqRealDiff__k6_xcmplx_0__r1927_r47_r1880, axiom, k6_xcmplx_0(1927, 47)=1880).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1927_rm1926, axiom, k6_xcmplx_0(1, 1927)=k4_xcmplx_0(1926)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r41_rm40, axiom, k6_xcmplx_0(1, 41)=k4_xcmplx_0(40)).
fof(rqRealDiff__k6_xcmplx_0__r1_r47_rm46, axiom, k6_xcmplx_0(1, 47)=k4_xcmplx_0(46)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm40_r41, axiom, k6_xcmplx_0(1, k4_xcmplx_0(40))=41).
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_r46_rm6, axiom, k6_xcmplx_0(40, 46)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__r40_rm1_r41, axiom, k6_xcmplx_0(40, k4_xcmplx_0(1))=41).
fof(rqRealDiff__k6_xcmplx_0__r41_r0_r41, axiom, k6_xcmplx_0(41, 0)=41).
fof(rqRealDiff__k6_xcmplx_0__r41_r1927_rm1886, axiom, k6_xcmplx_0(41, 1927)=k4_xcmplx_0(1886)).
fof(rqRealDiff__k6_xcmplx_0__r41_r1_r40, axiom, k6_xcmplx_0(41, 1)=40).
fof(rqRealDiff__k6_xcmplx_0__r41_r40_r1, axiom, k6_xcmplx_0(41, 40)=1).
fof(rqRealDiff__k6_xcmplx_0__r41_r41_r0, axiom, k6_xcmplx_0(41, 41)=0).
fof(rqRealDiff__k6_xcmplx_0__r41_r47_rm6, axiom, k6_xcmplx_0(41, 47)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__r46_r0_r46, axiom, k6_xcmplx_0(46, 0)=46).
fof(rqRealDiff__k6_xcmplx_0__r46_r40_r6, axiom, k6_xcmplx_0(46, 40)=6).
fof(rqRealDiff__k6_xcmplx_0__r46_r46_r0, axiom, k6_xcmplx_0(46, 46)=0).
fof(rqRealDiff__k6_xcmplx_0__r46_r47_rm1, axiom, k6_xcmplx_0(46, 47)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r46_r6_r40, axiom, k6_xcmplx_0(46, 6)=40).
fof(rqRealDiff__k6_xcmplx_0__r46_rm1_r47, axiom, k6_xcmplx_0(46, k4_xcmplx_0(1))=47).
fof(rqRealDiff__k6_xcmplx_0__r47_r0_r47, axiom, k6_xcmplx_0(47, 0)=47).
fof(rqRealDiff__k6_xcmplx_0__r47_r1_r46, axiom, k6_xcmplx_0(47, 1)=46).
fof(rqRealDiff__k6_xcmplx_0__r47_r41_r6, axiom, k6_xcmplx_0(47, 41)=6).
fof(rqRealDiff__k6_xcmplx_0__r47_r47_r0, axiom, k6_xcmplx_0(47, 47)=0).
fof(rqRealDiff__k6_xcmplx_0__r47_r6_r41, axiom, k6_xcmplx_0(47, 6)=41).
fof(rqRealDiff__k6_xcmplx_0__r6_r0_r6, axiom, k6_xcmplx_0(6, 0)=6).
fof(rqRealDiff__k6_xcmplx_0__r6_r46_rm40, axiom, k6_xcmplx_0(6, 46)=k4_xcmplx_0(40)).
fof(rqRealDiff__k6_xcmplx_0__r6_r47_rm41, axiom, k6_xcmplx_0(6, 47)=k4_xcmplx_0(41)).
fof(rqRealDiff__k6_xcmplx_0__r6_r6_r0, axiom, k6_xcmplx_0(6, 6)=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_r40_rm41, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 40)=k4_xcmplx_0(41)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r46_rm47, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 46)=k4_xcmplx_0(47)).
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_rm41_r40, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(41))=40).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm47_r46, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(47))=46).
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_r1_rm41, axiom, k6_xcmplx_0(k4_xcmplx_0(40), 1)=k4_xcmplx_0(41)).
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__rm41_r0_rm41, axiom, k6_xcmplx_0(k4_xcmplx_0(41), 0)=k4_xcmplx_0(41)).
fof(rqRealDiff__k6_xcmplx_0__rm41_rm1_rm40, axiom, k6_xcmplx_0(k4_xcmplx_0(41), k4_xcmplx_0(1))=k4_xcmplx_0(40)).
fof(rqRealDiff__k6_xcmplx_0__rm41_rm40_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(41), k4_xcmplx_0(40))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm41_rm41_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(41), k4_xcmplx_0(41))=0).
fof(rqRealDiff__k6_xcmplx_0__rm41_rm47_r6, axiom, k6_xcmplx_0(k4_xcmplx_0(41), k4_xcmplx_0(47))=6).
fof(rqRealDiff__k6_xcmplx_0__rm46_r0_rm46, axiom, k6_xcmplx_0(k4_xcmplx_0(46), 0)=k4_xcmplx_0(46)).
fof(rqRealDiff__k6_xcmplx_0__rm46_r1_rm47, axiom, k6_xcmplx_0(k4_xcmplx_0(46), 1)=k4_xcmplx_0(47)).
fof(rqRealDiff__k6_xcmplx_0__rm46_rm46_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(46), k4_xcmplx_0(46))=0).
fof(rqRealDiff__k6_xcmplx_0__rm47_r0_rm47, axiom, k6_xcmplx_0(k4_xcmplx_0(47), 0)=k4_xcmplx_0(47)).
fof(rqRealDiff__k6_xcmplx_0__rm47_rm1_rm46, axiom, k6_xcmplx_0(k4_xcmplx_0(47), k4_xcmplx_0(1))=k4_xcmplx_0(46)).
fof(rqRealDiff__k6_xcmplx_0__rm47_rm46_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(47), k4_xcmplx_0(46))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm47_rm47_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(47), k4_xcmplx_0(47))=0).
fof(rqRealDiff__k6_xcmplx_0__rm6_r0_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(6), 0)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm46_r40, axiom, k6_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(46))=40).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm6_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(6))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_r0_rn1d6, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 6), 0)=k7_xcmplx_0(1, 6)).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rn1d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 6), k7_xcmplx_0(1, 6))=0).
fof(rqRealDiff__k6_xcmplx_0__rn41d6_rn41d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(41, 6), k7_xcmplx_0(41, 6))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rnm1d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), k7_xcmplx_0(k4_xcmplx_0(1), 6))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r41_rn1d41, axiom, k7_xcmplx_0(1, 41)=k7_xcmplx_0(1, 41)).
fof(rqRealDiv__k7_xcmplx_0__r1_r6_rn1d6, axiom, k7_xcmplx_0(1, 6)=k7_xcmplx_0(1, 6)).
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_rm41_rnm1d41, axiom, k7_xcmplx_0(1, k4_xcmplx_0(41))=k7_xcmplx_0(k4_xcmplx_0(1), 41)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm47_rnm1d47, axiom, k7_xcmplx_0(1, k4_xcmplx_0(47))=k7_xcmplx_0(k4_xcmplx_0(1), 47)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm6_rnm1d6, axiom, k7_xcmplx_0(1, k4_xcmplx_0(6))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d6_r6, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 6))=6).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d6_rm6, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 6))=k4_xcmplx_0(6)).
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_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r6_r0, axiom, k3_xcmplx_0(0, 6)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d6_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 6))=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_r40_r40, axiom, k3_xcmplx_0(1, 40)=40).
fof(rqRealMult__k3_xcmplx_0__r1_r41_r41, axiom, k3_xcmplx_0(1, 41)=41).
fof(rqRealMult__k3_xcmplx_0__r1_r46_r46, axiom, k3_xcmplx_0(1, 46)=46).
fof(rqRealMult__k3_xcmplx_0__r1_r47_r47, axiom, k3_xcmplx_0(1, 47)=47).
fof(rqRealMult__k3_xcmplx_0__r1_r6_r6, axiom, k3_xcmplx_0(1, 6)=6).
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_rm46_rm46, axiom, k3_xcmplx_0(1, k4_xcmplx_0(46))=k4_xcmplx_0(46)).
fof(rqRealMult__k3_xcmplx_0__r1_rm6_rm6, axiom, k3_xcmplx_0(1, k4_xcmplx_0(6))=k4_xcmplx_0(6)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d6_rn1d6, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 6))=k7_xcmplx_0(1, 6)).
fof(rqRealMult__k3_xcmplx_0__r40_r1_r40, axiom, k3_xcmplx_0(40, 1)=40).
fof(rqRealMult__k3_xcmplx_0__r40_rm47_rm1880, axiom, k3_xcmplx_0(40, k4_xcmplx_0(47))=k4_xcmplx_0(1880)).
fof(rqRealMult__k3_xcmplx_0__r41_r1_r41, axiom, k3_xcmplx_0(41, 1)=41).
fof(rqRealMult__k3_xcmplx_0__r41_r46_r1886, axiom, k3_xcmplx_0(41, 46)=1886).
fof(rqRealMult__k3_xcmplx_0__r41_r47_r1927, axiom, k3_xcmplx_0(41, 47)=1927).
fof(rqRealMult__k3_xcmplx_0__r46_r1_r46, axiom, k3_xcmplx_0(46, 1)=46).
fof(rqRealMult__k3_xcmplx_0__r46_r41_r1886, axiom, k3_xcmplx_0(46, 41)=1886).
fof(rqRealMult__k3_xcmplx_0__r47_r1_r47, axiom, k3_xcmplx_0(47, 1)=47).
fof(rqRealMult__k3_xcmplx_0__r47_r41_r1927, axiom, k3_xcmplx_0(47, 41)=1927).
fof(rqRealMult__k3_xcmplx_0__r6_r0_r0, axiom, k3_xcmplx_0(6, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r6_r1_r6, axiom, k3_xcmplx_0(6, 1)=6).
fof(rqRealMult__k3_xcmplx_0__r6_rn1d6_r1, axiom, k3_xcmplx_0(6, k7_xcmplx_0(1, 6))=1).
fof(rqRealMult__k3_xcmplx_0__r6_rnm1d6_rm1, axiom, k3_xcmplx_0(6, k7_xcmplx_0(k4_xcmplx_0(1), 6))=k4_xcmplx_0(1)).
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__rm41_r1_rm41, axiom, k3_xcmplx_0(k4_xcmplx_0(41), 1)=k4_xcmplx_0(41)).
fof(rqRealMult__k3_xcmplx_0__rm41_rm47_r1927, axiom, k3_xcmplx_0(k4_xcmplx_0(41), k4_xcmplx_0(47))=1927).
fof(rqRealMult__k3_xcmplx_0__rm46_r1_rm46, axiom, k3_xcmplx_0(k4_xcmplx_0(46), 1)=k4_xcmplx_0(46)).
fof(rqRealMult__k3_xcmplx_0__rm47_r1_rm47, axiom, k3_xcmplx_0(k4_xcmplx_0(47), 1)=k4_xcmplx_0(47)).
fof(rqRealMult__k3_xcmplx_0__rm6_r1_rm6, axiom, k3_xcmplx_0(k4_xcmplx_0(6), 1)=k4_xcmplx_0(6)).
fof(rqRealMult__k3_xcmplx_0__rm6_rn1d6_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(6), k7_xcmplx_0(1, 6))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm6_rnm1d6_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(6), k7_xcmplx_0(k4_xcmplx_0(1), 6))=1).
fof(rqRealMult__k3_xcmplx_0__rn1d41_r41_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 41), 41)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 6), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r1_rn1d6, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 6), 1)=k7_xcmplx_0(1, 6)).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r6_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 6), 6)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d6_rm6_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 6), k4_xcmplx_0(6))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn41d6_r1_rn41d6, axiom, k3_xcmplx_0(k7_xcmplx_0(41, 6), 1)=k7_xcmplx_0(41, 6)).
fof(rqRealMult__k3_xcmplx_0__rnm1d41_r1927_rm47, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 41), 1927)=k4_xcmplx_0(47)).
fof(rqRealMult__k3_xcmplx_0__rnm1d41_rm41_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 41), k4_xcmplx_0(41))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d47_rm47_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 47), k4_xcmplx_0(47))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_r1_rnm1d6, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_r6_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), 6)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_rm6_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), k4_xcmplx_0(6))=1).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r1880_rm1880, axiom, k4_xcmplx_0(1880)=k4_xcmplx_0(1880)).
fof(rqRealNeg__k4_xcmplx_0__r1926_rm1926, axiom, k4_xcmplx_0(1926)=k4_xcmplx_0(1926)).
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__r41_rm41, axiom, k4_xcmplx_0(41)=k4_xcmplx_0(41)).
fof(rqRealNeg__k4_xcmplx_0__r46_rm46, axiom, k4_xcmplx_0(46)=k4_xcmplx_0(46)).
fof(rqRealNeg__k4_xcmplx_0__r47_rm47, axiom, k4_xcmplx_0(47)=k4_xcmplx_0(47)).
fof(rqRealNeg__k4_xcmplx_0__r6_rm6, axiom, k4_xcmplx_0(6)=k4_xcmplx_0(6)).
fof(rqRealNeg__k4_xcmplx_0__rm1880_r1880, axiom, k4_xcmplx_0(k4_xcmplx_0(1880))=1880).
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__rm41_r41, axiom, k4_xcmplx_0(k4_xcmplx_0(41))=41).
fof(rqRealNeg__k4_xcmplx_0__rm46_r46, axiom, k4_xcmplx_0(k4_xcmplx_0(46))=46).
fof(rqRealNeg__k4_xcmplx_0__rm47_r47, axiom, k4_xcmplx_0(k4_xcmplx_0(47))=47).
fof(rqRealNeg__k4_xcmplx_0__rm6_r6, axiom, k4_xcmplx_0(k4_xcmplx_0(6))=6).
fof(rqRealNeg__k4_xcmplx_0__rn1d6_rnm1d6, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 6))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealNeg__k4_xcmplx_0__rn41d6_rnm41d6, axiom, k4_xcmplx_0(k7_xcmplx_0(41, 6))=k7_xcmplx_0(k4_xcmplx_0(41), 6)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d6_rn1d6, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6))=k7_xcmplx_0(1, 6)).
fof(rqRealNeg__k4_xcmplx_0__rnm41d6_rn41d6, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(41), 6))=k7_xcmplx_0(41, 6)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc1880_numerals, axiom,  (v2_xxreal_0(1880) & m1_subset_1(1880, k4_ordinal1)) ).
fof(spc1886_numerals, axiom,  (v2_xxreal_0(1886) & m1_subset_1(1886, k4_ordinal1)) ).
fof(spc1926_numerals, axiom,  (v2_xxreal_0(1926) & m1_subset_1(1926, k4_ordinal1)) ).
fof(spc1927_numerals, axiom,  (v2_xxreal_0(1927) & m1_subset_1(1927, 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(spc41_numerals, axiom,  (v2_xxreal_0(41) & m1_subset_1(41, k4_ordinal1)) ).
fof(spc46_numerals, axiom,  (v2_xxreal_0(46) & m1_subset_1(46, k4_ordinal1)) ).
fof(spc47_numerals, axiom,  (v2_xxreal_0(47) & m1_subset_1(47, 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(spc6_numerals, axiom,  (v2_xxreal_0(6) & m1_subset_1(6, 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) ) ).
