% Mizar problem: t424_xprimes0,xprimes0,2913,7 
fof(t424_xprimes0, conjecture,  ~ (v1_int_2(424)) ).
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_r210_rm210, axiom, k6_xcmplx_0(0, 210)=k4_xcmplx_0(210)).
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_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_r422_rm422, axiom, k6_xcmplx_0(0, 422)=k4_xcmplx_0(422)).
fof(rqRealDiff__k6_xcmplx_0__r0_r423_rm423, axiom, k6_xcmplx_0(0, 423)=k4_xcmplx_0(423)).
fof(rqRealDiff__k6_xcmplx_0__r0_r424_rm424, axiom, k6_xcmplx_0(0, 424)=k4_xcmplx_0(424)).
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_r211_rm210, axiom, k6_xcmplx_0(1, 211)=k4_xcmplx_0(210)).
fof(rqRealDiff__k6_xcmplx_0__r1_r212_rm211, axiom, k6_xcmplx_0(1, 212)=k4_xcmplx_0(211)).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_r423_rm422, axiom, k6_xcmplx_0(1, 423)=k4_xcmplx_0(422)).
fof(rqRealDiff__k6_xcmplx_0__r1_r424_rm423, axiom, k6_xcmplx_0(1, 424)=k4_xcmplx_0(423)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_rm210_r211, axiom, k6_xcmplx_0(1, k4_xcmplx_0(210))=211).
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__r210_r0_r210, axiom, k6_xcmplx_0(210, 0)=210).
fof(rqRealDiff__k6_xcmplx_0__r210_r210_r0, axiom, k6_xcmplx_0(210, 210)=0).
fof(rqRealDiff__k6_xcmplx_0__r210_r212_rm2, axiom, k6_xcmplx_0(210, 212)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r210_r422_rm212, axiom, k6_xcmplx_0(210, 422)=k4_xcmplx_0(212)).
fof(rqRealDiff__k6_xcmplx_0__r211_r0_r211, axiom, k6_xcmplx_0(211, 0)=211).
fof(rqRealDiff__k6_xcmplx_0__r211_r1_r210, axiom, k6_xcmplx_0(211, 1)=210).
fof(rqRealDiff__k6_xcmplx_0__r211_r211_r0, axiom, k6_xcmplx_0(211, 211)=0).
fof(rqRealDiff__k6_xcmplx_0__r211_rm211_r422, axiom, k6_xcmplx_0(211, k4_xcmplx_0(211))=422).
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_r210_r2, axiom, k6_xcmplx_0(212, 210)=2).
fof(rqRealDiff__k6_xcmplx_0__r212_r2_r210, axiom, k6_xcmplx_0(212, 2)=210).
fof(rqRealDiff__k6_xcmplx_0__r212_rm212_r424, axiom, k6_xcmplx_0(212, k4_xcmplx_0(212))=424).
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_r212_rm210, axiom, k6_xcmplx_0(2, 212)=k4_xcmplx_0(210)).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__r2_r424_rm422, axiom, k6_xcmplx_0(2, 424)=k4_xcmplx_0(422)).
fof(rqRealDiff__k6_xcmplx_0__r2_rm210_r212, axiom, k6_xcmplx_0(2, k4_xcmplx_0(210))=212).
fof(rqRealDiff__k6_xcmplx_0__r422_r0_r422, axiom, k6_xcmplx_0(422, 0)=422).
fof(rqRealDiff__k6_xcmplx_0__r422_r210_r212, axiom, k6_xcmplx_0(422, 210)=212).
fof(rqRealDiff__k6_xcmplx_0__r422_r211_r211, axiom, k6_xcmplx_0(422, 211)=211).
fof(rqRealDiff__k6_xcmplx_0__r423_r0_r423, axiom, k6_xcmplx_0(423, 0)=423).
fof(rqRealDiff__k6_xcmplx_0__r423_r1_r422, axiom, k6_xcmplx_0(423, 1)=422).
fof(rqRealDiff__k6_xcmplx_0__r424_r0_r424, axiom, k6_xcmplx_0(424, 0)=424).
fof(rqRealDiff__k6_xcmplx_0__r424_r1_r423, axiom, k6_xcmplx_0(424, 1)=423).
fof(rqRealDiff__k6_xcmplx_0__r424_r212_r212, axiom, k6_xcmplx_0(424, 212)=212).
fof(rqRealDiff__k6_xcmplx_0__r424_r2_r422, axiom, k6_xcmplx_0(424, 2)=422).
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_r210_rm211, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 210)=k4_xcmplx_0(211)).
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_rm211_r210, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(211))=210).
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_rm2_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=1).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm423_r422, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(423))=422).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm424_r423, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(424))=423).
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__rm210_r0_rm210, axiom, k6_xcmplx_0(k4_xcmplx_0(210), 0)=k4_xcmplx_0(210)).
fof(rqRealDiff__k6_xcmplx_0__rm210_r1_rm211, axiom, k6_xcmplx_0(k4_xcmplx_0(210), 1)=k4_xcmplx_0(211)).
fof(rqRealDiff__k6_xcmplx_0__rm210_r2_rm212, axiom, k6_xcmplx_0(k4_xcmplx_0(210), 2)=k4_xcmplx_0(212)).
fof(rqRealDiff__k6_xcmplx_0__rm210_rm210_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(210), k4_xcmplx_0(210))=0).
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_r211_rm422, axiom, k6_xcmplx_0(k4_xcmplx_0(211), 211)=k4_xcmplx_0(422)).
fof(rqRealDiff__k6_xcmplx_0__rm211_rm1_rm210, axiom, k6_xcmplx_0(k4_xcmplx_0(211), k4_xcmplx_0(1))=k4_xcmplx_0(210)).
fof(rqRealDiff__k6_xcmplx_0__rm211_rm210_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(211), k4_xcmplx_0(210))=k4_xcmplx_0(1)).
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__rm212_r0_rm212, axiom, k6_xcmplx_0(k4_xcmplx_0(212), 0)=k4_xcmplx_0(212)).
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_rm210_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(212), k4_xcmplx_0(210))=k4_xcmplx_0(2)).
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__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_rm212_r210, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(212))=210).
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_rm424_r422, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(424))=422).
fof(rqRealDiff__k6_xcmplx_0__rm422_rm422_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(422), k4_xcmplx_0(422))=0).
fof(rqRealDiff__k6_xcmplx_0__rm423_rm423_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(423), k4_xcmplx_0(423))=0).
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_rm1_rm423, axiom, k6_xcmplx_0(k4_xcmplx_0(424), k4_xcmplx_0(1))=k4_xcmplx_0(423)).
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__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_rm210_rnm1d210, axiom, k7_xcmplx_0(1, k4_xcmplx_0(210))=k7_xcmplx_0(k4_xcmplx_0(1), 210)).
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_r210_r0, axiom, k3_xcmplx_0(0, 210)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r2_r0, axiom, k3_xcmplx_0(0, 2)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r422_r0, axiom, k3_xcmplx_0(0, 422)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r423_r0, axiom, k3_xcmplx_0(0, 423)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r424_r0, axiom, k3_xcmplx_0(0, 424)=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_r210_r210, axiom, k3_xcmplx_0(1, 210)=210).
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_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r422_r422, axiom, k3_xcmplx_0(1, 422)=422).
fof(rqRealMult__k3_xcmplx_0__r1_r423_r423, axiom, k3_xcmplx_0(1, 423)=423).
fof(rqRealMult__k3_xcmplx_0__r1_r424_r424, axiom, k3_xcmplx_0(1, 424)=424).
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__r210_r0_r0, axiom, k3_xcmplx_0(210, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r210_r1_r210, axiom, k3_xcmplx_0(210, 1)=210).
fof(rqRealMult__k3_xcmplx_0__r210_rnm1d210_rm1, axiom, k3_xcmplx_0(210, k7_xcmplx_0(k4_xcmplx_0(1), 210))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r211_r1_r211, axiom, k3_xcmplx_0(211, 1)=211).
fof(rqRealMult__k3_xcmplx_0__r211_r2_r422, axiom, k3_xcmplx_0(211, 2)=422).
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__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_r211_r422, axiom, k3_xcmplx_0(2, 211)=422).
fof(rqRealMult__k3_xcmplx_0__r2_r212_r424, axiom, k3_xcmplx_0(2, 212)=424).
fof(rqRealMult__k3_xcmplx_0__r2_rm211_rm422, axiom, k3_xcmplx_0(2, k4_xcmplx_0(211))=k4_xcmplx_0(422)).
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_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__r422_r0_r0, axiom, k3_xcmplx_0(422, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r423_r0_r0, axiom, k3_xcmplx_0(423, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r424_r0_r0, axiom, k3_xcmplx_0(424, 0)=0).
fof(rqRealMult__k3_xcmplx_0__rm210_r1_rm210, axiom, k3_xcmplx_0(k4_xcmplx_0(210), 1)=k4_xcmplx_0(210)).
fof(rqRealMult__k3_xcmplx_0__rm210_rnm1d210_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(210), k7_xcmplx_0(k4_xcmplx_0(1), 210))=1).
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_rm211_r422, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(211))=422).
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_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__rnm1d210_r1_rnm1d210, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 210), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 210)).
fof(rqRealMult__k3_xcmplx_0__rnm1d210_rm210_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 210), k4_xcmplx_0(210))=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_r422_rm211, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 422)=k4_xcmplx_0(211)).
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_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__r210_rm210, axiom, k4_xcmplx_0(210)=k4_xcmplx_0(210)).
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__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r422_rm422, axiom, k4_xcmplx_0(422)=k4_xcmplx_0(422)).
fof(rqRealNeg__k4_xcmplx_0__r423_rm423, axiom, k4_xcmplx_0(423)=k4_xcmplx_0(423)).
fof(rqRealNeg__k4_xcmplx_0__r424_rm424, axiom, k4_xcmplx_0(424)=k4_xcmplx_0(424)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm210_r210, axiom, k4_xcmplx_0(k4_xcmplx_0(210))=210).
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__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rm422_r422, axiom, k4_xcmplx_0(k4_xcmplx_0(422))=422).
fof(rqRealNeg__k4_xcmplx_0__rm423_r423, axiom, k4_xcmplx_0(k4_xcmplx_0(423))=423).
fof(rqRealNeg__k4_xcmplx_0__rm424_r424, axiom, k4_xcmplx_0(k4_xcmplx_0(424))=424).
fof(rqRealNeg__k4_xcmplx_0__rn1d210_rnm1d210, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 210))=k7_xcmplx_0(k4_xcmplx_0(1), 210)).
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__rnm1d210_rn1d210, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 210))=k7_xcmplx_0(1, 210)).
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(spc210_numerals, axiom,  (v2_xxreal_0(210) & m1_subset_1(210, 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(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(spc422_numerals, axiom,  (v2_xxreal_0(422) & m1_subset_1(422, k4_ordinal1)) ).
fof(spc423_numerals, axiom,  (v2_xxreal_0(423) & m1_subset_1(423, k4_ordinal1)) ).
fof(spc424_numerals, axiom,  (v2_xxreal_0(424) & m1_subset_1(424, 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) ) ).
