% Mizar problem: t426_xprimes0,xprimes0,2929,7 
fof(t426_xprimes0, conjecture,  ~ (v1_int_2(426)) ).
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_r211_rm211, axiom, k6_xcmplx_0(0, 211)=k4_xcmplx_0(211)).
fof(rqRealDiff__k6_xcmplx_0__r0_r212_rm212, axiom, k6_xcmplx_0(0, 212)=k4_xcmplx_0(212)).
fof(rqRealDiff__k6_xcmplx_0__r0_r213_rm213, axiom, k6_xcmplx_0(0, 213)=k4_xcmplx_0(213)).
fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_r424_rm424, axiom, k6_xcmplx_0(0, 424)=k4_xcmplx_0(424)).
fof(rqRealDiff__k6_xcmplx_0__r0_r425_rm425, axiom, k6_xcmplx_0(0, 425)=k4_xcmplx_0(425)).
fof(rqRealDiff__k6_xcmplx_0__r0_r426_rm426, axiom, k6_xcmplx_0(0, 426)=k4_xcmplx_0(426)).
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_r212_rm211, axiom, k6_xcmplx_0(1, 212)=k4_xcmplx_0(211)).
fof(rqRealDiff__k6_xcmplx_0__r1_r213_rm212, axiom, k6_xcmplx_0(1, 213)=k4_xcmplx_0(212)).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_r425_rm424, axiom, k6_xcmplx_0(1, 425)=k4_xcmplx_0(424)).
fof(rqRealDiff__k6_xcmplx_0__r1_r426_rm425, axiom, k6_xcmplx_0(1, 426)=k4_xcmplx_0(425)).
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__r211_r0_r211, axiom, k6_xcmplx_0(211, 0)=211).
fof(rqRealDiff__k6_xcmplx_0__r211_r211_r0, axiom, k6_xcmplx_0(211, 211)=0).
fof(rqRealDiff__k6_xcmplx_0__r212_r0_r212, axiom, k6_xcmplx_0(212, 0)=212).
fof(rqRealDiff__k6_xcmplx_0__r212_r1_r211, axiom, k6_xcmplx_0(212, 1)=211).
fof(rqRealDiff__k6_xcmplx_0__r212_rm212_r424, axiom, k6_xcmplx_0(212, k4_xcmplx_0(212))=424).
fof(rqRealDiff__k6_xcmplx_0__r213_r0_r213, axiom, k6_xcmplx_0(213, 0)=213).
fof(rqRealDiff__k6_xcmplx_0__r213_r1_r212, axiom, k6_xcmplx_0(213, 1)=212).
fof(rqRealDiff__k6_xcmplx_0__r213_r212_r1, axiom, k6_xcmplx_0(213, 212)=1).
fof(rqRealDiff__k6_xcmplx_0__r213_r2_r211, axiom, k6_xcmplx_0(213, 2)=211).
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_r213_rm211, axiom, k6_xcmplx_0(2, 213)=k4_xcmplx_0(211)).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__r2_r426_rm424, axiom, k6_xcmplx_0(2, 426)=k4_xcmplx_0(424)).
fof(rqRealDiff__k6_xcmplx_0__r424_r0_r424, axiom, k6_xcmplx_0(424, 0)=424).
fof(rqRealDiff__k6_xcmplx_0__r424_r211_r213, axiom, k6_xcmplx_0(424, 211)=213).
fof(rqRealDiff__k6_xcmplx_0__r424_r212_r212, axiom, k6_xcmplx_0(424, 212)=212).
fof(rqRealDiff__k6_xcmplx_0__r425_r0_r425, axiom, k6_xcmplx_0(425, 0)=425).
fof(rqRealDiff__k6_xcmplx_0__r425_r1_r424, axiom, k6_xcmplx_0(425, 1)=424).
fof(rqRealDiff__k6_xcmplx_0__r425_r424_r1, axiom, k6_xcmplx_0(425, 424)=1).
fof(rqRealDiff__k6_xcmplx_0__r426_r0_r426, axiom, k6_xcmplx_0(426, 0)=426).
fof(rqRealDiff__k6_xcmplx_0__r426_r1_r425, axiom, k6_xcmplx_0(426, 1)=425).
fof(rqRealDiff__k6_xcmplx_0__r426_r213_r213, axiom, k6_xcmplx_0(426, 213)=213).
fof(rqRealDiff__k6_xcmplx_0__r426_r2_r424, axiom, k6_xcmplx_0(426, 2)=424).
fof(rqRealDiff__k6_xcmplx_0__r426_r424_r2, axiom, k6_xcmplx_0(426, 424)=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_rm1_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm212_r211, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(212))=211).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm213_r212, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(213))=212).
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_rm425_r424, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(425))=424).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm426_r425, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(426))=425).
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__rm211_r0_rm211, axiom, k6_xcmplx_0(k4_xcmplx_0(211), 0)=k4_xcmplx_0(211)).
fof(rqRealDiff__k6_xcmplx_0__rm211_r1_rm212, axiom, k6_xcmplx_0(k4_xcmplx_0(211), 1)=k4_xcmplx_0(212)).
fof(rqRealDiff__k6_xcmplx_0__rm211_r2_rm213, axiom, k6_xcmplx_0(k4_xcmplx_0(211), 2)=k4_xcmplx_0(213)).
fof(rqRealDiff__k6_xcmplx_0__rm211_rm211_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(211), k4_xcmplx_0(211))=0).
fof(rqRealDiff__k6_xcmplx_0__rm211_rm424_r213, axiom, k6_xcmplx_0(k4_xcmplx_0(211), k4_xcmplx_0(424))=213).
fof(rqRealDiff__k6_xcmplx_0__rm212_r0_rm212, axiom, k6_xcmplx_0(k4_xcmplx_0(212), 0)=k4_xcmplx_0(212)).
fof(rqRealDiff__k6_xcmplx_0__rm212_r1_rm213, axiom, k6_xcmplx_0(k4_xcmplx_0(212), 1)=k4_xcmplx_0(213)).
fof(rqRealDiff__k6_xcmplx_0__rm212_r212_rm424, axiom, k6_xcmplx_0(k4_xcmplx_0(212), 212)=k4_xcmplx_0(424)).
fof(rqRealDiff__k6_xcmplx_0__rm212_rm1_rm211, axiom, k6_xcmplx_0(k4_xcmplx_0(212), k4_xcmplx_0(1))=k4_xcmplx_0(211)).
fof(rqRealDiff__k6_xcmplx_0__rm212_rm211_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(212), k4_xcmplx_0(211))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm212_rm212_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(212), k4_xcmplx_0(212))=0).
fof(rqRealDiff__k6_xcmplx_0__rm213_rm211_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(213), k4_xcmplx_0(211))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm213_rm212_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(213), k4_xcmplx_0(212))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm213_rm213_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(213), k4_xcmplx_0(213))=0).
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_rm426_r424, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(426))=424).
fof(rqRealDiff__k6_xcmplx_0__rm424_r0_rm424, axiom, k6_xcmplx_0(k4_xcmplx_0(424), 0)=k4_xcmplx_0(424)).
fof(rqRealDiff__k6_xcmplx_0__rm424_r1_rm425, axiom, k6_xcmplx_0(k4_xcmplx_0(424), 1)=k4_xcmplx_0(425)).
fof(rqRealDiff__k6_xcmplx_0__rm424_r2_rm426, axiom, k6_xcmplx_0(k4_xcmplx_0(424), 2)=k4_xcmplx_0(426)).
fof(rqRealDiff__k6_xcmplx_0__rm424_rm424_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(424), k4_xcmplx_0(424))=0).
fof(rqRealDiff__k6_xcmplx_0__rm425_rm424_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(425), k4_xcmplx_0(424))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm425_rm425_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(425), k4_xcmplx_0(425))=0).
fof(rqRealDiff__k6_xcmplx_0__rm426_rm424_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(426), k4_xcmplx_0(424))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm426_rm426_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(426), k4_xcmplx_0(426))=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_rm211_rnm1d211, axiom, k7_xcmplx_0(1, k4_xcmplx_0(211))=k7_xcmplx_0(k4_xcmplx_0(1), 211)).
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_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_r424_r0, axiom, k3_xcmplx_0(0, 424)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r425_r0, axiom, k3_xcmplx_0(0, 425)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r426_r0, axiom, k3_xcmplx_0(0, 426)=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_r211_r211, axiom, k3_xcmplx_0(1, 211)=211).
fof(rqRealMult__k3_xcmplx_0__r1_r212_r212, axiom, k3_xcmplx_0(1, 212)=212).
fof(rqRealMult__k3_xcmplx_0__r1_r213_r213, axiom, k3_xcmplx_0(1, 213)=213).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r424_r424, axiom, k3_xcmplx_0(1, 424)=424).
fof(rqRealMult__k3_xcmplx_0__r1_r425_r425, axiom, k3_xcmplx_0(1, 425)=425).
fof(rqRealMult__k3_xcmplx_0__r1_r426_r426, axiom, k3_xcmplx_0(1, 426)=426).
fof(rqRealMult__k3_xcmplx_0__r1_rm212_rm212, axiom, k3_xcmplx_0(1, k4_xcmplx_0(212))=k4_xcmplx_0(212)).
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__r211_r1_r211, axiom, k3_xcmplx_0(211, 1)=211).
fof(rqRealMult__k3_xcmplx_0__r212_r1_r212, axiom, k3_xcmplx_0(212, 1)=212).
fof(rqRealMult__k3_xcmplx_0__r212_r2_r424, axiom, k3_xcmplx_0(212, 2)=424).
fof(rqRealMult__k3_xcmplx_0__r213_r2_r426, axiom, k3_xcmplx_0(213, 2)=426).
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_r212_r424, axiom, k3_xcmplx_0(2, 212)=424).
fof(rqRealMult__k3_xcmplx_0__r2_r213_r426, axiom, k3_xcmplx_0(2, 213)=426).
fof(rqRealMult__k3_xcmplx_0__r2_rm212_rm424, axiom, k3_xcmplx_0(2, k4_xcmplx_0(212))=k4_xcmplx_0(424)).
fof(rqRealMult__k3_xcmplx_0__r2_rm213_rm426, axiom, k3_xcmplx_0(2, k4_xcmplx_0(213))=k4_xcmplx_0(426)).
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__r424_r0_r0, axiom, k3_xcmplx_0(424, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r425_r0_r0, axiom, k3_xcmplx_0(425, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r426_r0_r0, axiom, k3_xcmplx_0(426, 0)=0).
fof(rqRealMult__k3_xcmplx_0__rm211_r1_rm211, axiom, k3_xcmplx_0(k4_xcmplx_0(211), 1)=k4_xcmplx_0(211)).
fof(rqRealMult__k3_xcmplx_0__rm212_r1_rm212, axiom, k3_xcmplx_0(k4_xcmplx_0(212), 1)=k4_xcmplx_0(212)).
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_rm212_r424, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(212))=424).
fof(rqRealMult__k3_xcmplx_0__rm2_rm213_r426, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(213))=426).
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__rm424_r1_rm424, axiom, k3_xcmplx_0(k4_xcmplx_0(424), 1)=k4_xcmplx_0(424)).
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__rnm1d211_rm211_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 211), k4_xcmplx_0(211))=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_r424_rm212, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 424)=k4_xcmplx_0(212)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r426_rm213, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 426)=k4_xcmplx_0(213)).
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(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__r211_rm211, axiom, k4_xcmplx_0(211)=k4_xcmplx_0(211)).
fof(rqRealNeg__k4_xcmplx_0__r212_rm212, axiom, k4_xcmplx_0(212)=k4_xcmplx_0(212)).
fof(rqRealNeg__k4_xcmplx_0__r213_rm213, axiom, k4_xcmplx_0(213)=k4_xcmplx_0(213)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r424_rm424, axiom, k4_xcmplx_0(424)=k4_xcmplx_0(424)).
fof(rqRealNeg__k4_xcmplx_0__r425_rm425, axiom, k4_xcmplx_0(425)=k4_xcmplx_0(425)).
fof(rqRealNeg__k4_xcmplx_0__r426_rm426, axiom, k4_xcmplx_0(426)=k4_xcmplx_0(426)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm211_r211, axiom, k4_xcmplx_0(k4_xcmplx_0(211))=211).
fof(rqRealNeg__k4_xcmplx_0__rm212_r212, axiom, k4_xcmplx_0(k4_xcmplx_0(212))=212).
fof(rqRealNeg__k4_xcmplx_0__rm213_r213, axiom, k4_xcmplx_0(k4_xcmplx_0(213))=213).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rm424_r424, axiom, k4_xcmplx_0(k4_xcmplx_0(424))=424).
fof(rqRealNeg__k4_xcmplx_0__rm425_r425, axiom, k4_xcmplx_0(k4_xcmplx_0(425))=425).
fof(rqRealNeg__k4_xcmplx_0__rm426_r426, axiom, k4_xcmplx_0(k4_xcmplx_0(426))=426).
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(spc211_numerals, axiom,  (v2_xxreal_0(211) & m1_subset_1(211, k4_ordinal1)) ).
fof(spc212_numerals, axiom,  (v2_xxreal_0(212) & m1_subset_1(212, k4_ordinal1)) ).
fof(spc213_numerals, axiom,  (v2_xxreal_0(213) & m1_subset_1(213, 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(spc424_numerals, axiom,  (v2_xxreal_0(424) & m1_subset_1(424, k4_ordinal1)) ).
fof(spc425_numerals, axiom,  (v2_xxreal_0(425) & m1_subset_1(425, k4_ordinal1)) ).
fof(spc426_numerals, axiom,  (v2_xxreal_0(426) & m1_subset_1(426, 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(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) ) ).
