% Mizar problem: t632_xprimes0,xprimes0,4379,7 
fof(t632_xprimes0, conjecture,  ~ (v1_int_2(632)) ).
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_r314_rm314, axiom, k6_xcmplx_0(0, 314)=k4_xcmplx_0(314)).
fof(rqRealDiff__k6_xcmplx_0__r0_r315_rm315, axiom, k6_xcmplx_0(0, 315)=k4_xcmplx_0(315)).
fof(rqRealDiff__k6_xcmplx_0__r0_r316_rm316, axiom, k6_xcmplx_0(0, 316)=k4_xcmplx_0(316)).
fof(rqRealDiff__k6_xcmplx_0__r0_r630_rm630, axiom, k6_xcmplx_0(0, 630)=k4_xcmplx_0(630)).
fof(rqRealDiff__k6_xcmplx_0__r0_r631_rm631, axiom, k6_xcmplx_0(0, 631)=k4_xcmplx_0(631)).
fof(rqRealDiff__k6_xcmplx_0__r0_r632_rm632, axiom, k6_xcmplx_0(0, 632)=k4_xcmplx_0(632)).
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_r315_rm314, axiom, k6_xcmplx_0(1, 315)=k4_xcmplx_0(314)).
fof(rqRealDiff__k6_xcmplx_0__r1_r316_rm315, axiom, k6_xcmplx_0(1, 316)=k4_xcmplx_0(315)).
fof(rqRealDiff__k6_xcmplx_0__r1_r631_rm630, axiom, k6_xcmplx_0(1, 631)=k4_xcmplx_0(630)).
fof(rqRealDiff__k6_xcmplx_0__r1_r632_rm631, axiom, k6_xcmplx_0(1, 632)=k4_xcmplx_0(631)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_rm630_r631, axiom, k6_xcmplx_0(1, k4_xcmplx_0(630))=631).
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_r316_rm314, axiom, k6_xcmplx_0(2, 316)=k4_xcmplx_0(314)).
fof(rqRealDiff__k6_xcmplx_0__r2_r632_rm630, axiom, k6_xcmplx_0(2, 632)=k4_xcmplx_0(630)).
fof(rqRealDiff__k6_xcmplx_0__r314_r0_r314, axiom, k6_xcmplx_0(314, 0)=314).
fof(rqRealDiff__k6_xcmplx_0__r315_r0_r315, axiom, k6_xcmplx_0(315, 0)=315).
fof(rqRealDiff__k6_xcmplx_0__r315_r1_r314, axiom, k6_xcmplx_0(315, 1)=314).
fof(rqRealDiff__k6_xcmplx_0__r315_r316_rm1, axiom, k6_xcmplx_0(315, 316)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r316_r0_r316, axiom, k6_xcmplx_0(316, 0)=316).
fof(rqRealDiff__k6_xcmplx_0__r316_r1_r315, axiom, k6_xcmplx_0(316, 1)=315).
fof(rqRealDiff__k6_xcmplx_0__r316_r2_r314, axiom, k6_xcmplx_0(316, 2)=314).
fof(rqRealDiff__k6_xcmplx_0__r316_r316_r0, axiom, k6_xcmplx_0(316, 316)=0).
fof(rqRealDiff__k6_xcmplx_0__r316_r632_rm316, axiom, k6_xcmplx_0(316, 632)=k4_xcmplx_0(316)).
fof(rqRealDiff__k6_xcmplx_0__r316_rm316_r632, axiom, k6_xcmplx_0(316, k4_xcmplx_0(316))=632).
fof(rqRealDiff__k6_xcmplx_0__r630_r0_r630, axiom, k6_xcmplx_0(630, 0)=630).
fof(rqRealDiff__k6_xcmplx_0__r630_r315_r315, axiom, k6_xcmplx_0(630, 315)=315).
fof(rqRealDiff__k6_xcmplx_0__r630_r630_r0, axiom, k6_xcmplx_0(630, 630)=0).
fof(rqRealDiff__k6_xcmplx_0__r630_r632_rm2, axiom, k6_xcmplx_0(630, 632)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r630_rm2_r632, axiom, k6_xcmplx_0(630, k4_xcmplx_0(2))=632).
fof(rqRealDiff__k6_xcmplx_0__r631_r0_r631, axiom, k6_xcmplx_0(631, 0)=631).
fof(rqRealDiff__k6_xcmplx_0__r631_r1_r630, axiom, k6_xcmplx_0(631, 1)=630).
fof(rqRealDiff__k6_xcmplx_0__r632_r0_r632, axiom, k6_xcmplx_0(632, 0)=632).
fof(rqRealDiff__k6_xcmplx_0__r632_r1_r631, axiom, k6_xcmplx_0(632, 1)=631).
fof(rqRealDiff__k6_xcmplx_0__r632_r2_r630, axiom, k6_xcmplx_0(632, 2)=630).
fof(rqRealDiff__k6_xcmplx_0__r632_r316_r316, axiom, k6_xcmplx_0(632, 316)=316).
fof(rqRealDiff__k6_xcmplx_0__r632_r630_r2, axiom, k6_xcmplx_0(632, 630)=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_r315_rm316, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 315)=k4_xcmplx_0(316)).
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_rm315_r314, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(315))=314).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm316_r315, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(316))=315).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm632_r631, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(632))=631).
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_rm316_r314, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(316))=314).
fof(rqRealDiff__k6_xcmplx_0__rm314_r0_rm314, axiom, k6_xcmplx_0(k4_xcmplx_0(314), 0)=k4_xcmplx_0(314)).
fof(rqRealDiff__k6_xcmplx_0__rm314_r1_rm315, axiom, k6_xcmplx_0(k4_xcmplx_0(314), 1)=k4_xcmplx_0(315)).
fof(rqRealDiff__k6_xcmplx_0__rm314_r2_rm316, axiom, k6_xcmplx_0(k4_xcmplx_0(314), 2)=k4_xcmplx_0(316)).
fof(rqRealDiff__k6_xcmplx_0__rm314_rm314_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(314), k4_xcmplx_0(314))=0).
fof(rqRealDiff__k6_xcmplx_0__rm315_rm1_rm314, axiom, k6_xcmplx_0(k4_xcmplx_0(315), k4_xcmplx_0(1))=k4_xcmplx_0(314)).
fof(rqRealDiff__k6_xcmplx_0__rm315_rm314_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(315), k4_xcmplx_0(314))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm315_rm315_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(315), k4_xcmplx_0(315))=0).
fof(rqRealDiff__k6_xcmplx_0__rm316_r0_rm316, axiom, k6_xcmplx_0(k4_xcmplx_0(316), 0)=k4_xcmplx_0(316)).
fof(rqRealDiff__k6_xcmplx_0__rm316_r316_rm632, axiom, k6_xcmplx_0(k4_xcmplx_0(316), 316)=k4_xcmplx_0(632)).
fof(rqRealDiff__k6_xcmplx_0__rm316_rm1_rm315, axiom, k6_xcmplx_0(k4_xcmplx_0(316), k4_xcmplx_0(1))=k4_xcmplx_0(315)).
fof(rqRealDiff__k6_xcmplx_0__rm316_rm314_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(316), k4_xcmplx_0(314))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm316_rm316_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(316), k4_xcmplx_0(316))=0).
fof(rqRealDiff__k6_xcmplx_0__rm630_rm630_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(630), k4_xcmplx_0(630))=0).
fof(rqRealDiff__k6_xcmplx_0__rm631_r0_rm631, axiom, k6_xcmplx_0(k4_xcmplx_0(631), 0)=k4_xcmplx_0(631)).
fof(rqRealDiff__k6_xcmplx_0__rm631_r1_rm632, axiom, k6_xcmplx_0(k4_xcmplx_0(631), 1)=k4_xcmplx_0(632)).
fof(rqRealDiff__k6_xcmplx_0__rm631_rm1_rm630, axiom, k6_xcmplx_0(k4_xcmplx_0(631), k4_xcmplx_0(1))=k4_xcmplx_0(630)).
fof(rqRealDiff__k6_xcmplx_0__rm631_rm631_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(631), k4_xcmplx_0(631))=0).
fof(rqRealDiff__k6_xcmplx_0__rm632_rm316_rm316, axiom, k6_xcmplx_0(k4_xcmplx_0(632), k4_xcmplx_0(316))=k4_xcmplx_0(316)).
fof(rqRealDiff__k6_xcmplx_0__rm632_rm632_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(632), k4_xcmplx_0(632))=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_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_r314_r0, axiom, k3_xcmplx_0(0, 314)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r315_r0, axiom, k3_xcmplx_0(0, 315)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r316_r0, axiom, k3_xcmplx_0(0, 316)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r630_r0, axiom, k3_xcmplx_0(0, 630)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r632_r0, axiom, k3_xcmplx_0(0, 632)=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_r314_r314, axiom, k3_xcmplx_0(1, 314)=314).
fof(rqRealMult__k3_xcmplx_0__r1_r315_r315, axiom, k3_xcmplx_0(1, 315)=315).
fof(rqRealMult__k3_xcmplx_0__r1_r316_r316, axiom, k3_xcmplx_0(1, 316)=316).
fof(rqRealMult__k3_xcmplx_0__r1_r630_r630, axiom, k3_xcmplx_0(1, 630)=630).
fof(rqRealMult__k3_xcmplx_0__r1_r631_r631, axiom, k3_xcmplx_0(1, 631)=631).
fof(rqRealMult__k3_xcmplx_0__r1_r632_r632, axiom, k3_xcmplx_0(1, 632)=632).
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_r315_r630, axiom, k3_xcmplx_0(2, 315)=630).
fof(rqRealMult__k3_xcmplx_0__r2_r316_r632, axiom, k3_xcmplx_0(2, 316)=632).
fof(rqRealMult__k3_xcmplx_0__r2_rm315_rm630, axiom, k3_xcmplx_0(2, k4_xcmplx_0(315))=k4_xcmplx_0(630)).
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__r314_r0_r0, axiom, k3_xcmplx_0(314, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r315_r0_r0, axiom, k3_xcmplx_0(315, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r315_r1_r315, axiom, k3_xcmplx_0(315, 1)=315).
fof(rqRealMult__k3_xcmplx_0__r315_r2_r630, axiom, k3_xcmplx_0(315, 2)=630).
fof(rqRealMult__k3_xcmplx_0__r316_r0_r0, axiom, k3_xcmplx_0(316, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r316_r1_r316, axiom, k3_xcmplx_0(316, 1)=316).
fof(rqRealMult__k3_xcmplx_0__r316_r2_r632, axiom, k3_xcmplx_0(316, 2)=632).
fof(rqRealMult__k3_xcmplx_0__r630_r0_r0, axiom, k3_xcmplx_0(630, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r632_r0_r0, axiom, k3_xcmplx_0(632, 0)=0).
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_rm315_r630, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(315))=630).
fof(rqRealMult__k3_xcmplx_0__rm2_rm316_r632, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(316))=632).
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__rm314_r1_rm314, axiom, k3_xcmplx_0(k4_xcmplx_0(314), 1)=k4_xcmplx_0(314)).
fof(rqRealMult__k3_xcmplx_0__rm315_r1_rm315, axiom, k3_xcmplx_0(k4_xcmplx_0(315), 1)=k4_xcmplx_0(315)).
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_r630_rm315, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 630)=k4_xcmplx_0(315)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r632_rm316, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 632)=k4_xcmplx_0(316)).
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__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r314_rm314, axiom, k4_xcmplx_0(314)=k4_xcmplx_0(314)).
fof(rqRealNeg__k4_xcmplx_0__r315_rm315, axiom, k4_xcmplx_0(315)=k4_xcmplx_0(315)).
fof(rqRealNeg__k4_xcmplx_0__r316_rm316, axiom, k4_xcmplx_0(316)=k4_xcmplx_0(316)).
fof(rqRealNeg__k4_xcmplx_0__r630_rm630, axiom, k4_xcmplx_0(630)=k4_xcmplx_0(630)).
fof(rqRealNeg__k4_xcmplx_0__r631_rm631, axiom, k4_xcmplx_0(631)=k4_xcmplx_0(631)).
fof(rqRealNeg__k4_xcmplx_0__r632_rm632, axiom, k4_xcmplx_0(632)=k4_xcmplx_0(632)).
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__rm314_r314, axiom, k4_xcmplx_0(k4_xcmplx_0(314))=314).
fof(rqRealNeg__k4_xcmplx_0__rm315_r315, axiom, k4_xcmplx_0(k4_xcmplx_0(315))=315).
fof(rqRealNeg__k4_xcmplx_0__rm316_r316, axiom, k4_xcmplx_0(k4_xcmplx_0(316))=316).
fof(rqRealNeg__k4_xcmplx_0__rm630_r630, axiom, k4_xcmplx_0(k4_xcmplx_0(630))=630).
fof(rqRealNeg__k4_xcmplx_0__rm631_r631, axiom, k4_xcmplx_0(k4_xcmplx_0(631))=631).
fof(rqRealNeg__k4_xcmplx_0__rm632_r632, axiom, k4_xcmplx_0(k4_xcmplx_0(632))=632).
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(spc314_numerals, axiom,  (v2_xxreal_0(314) & m1_subset_1(314, k4_ordinal1)) ).
fof(spc315_numerals, axiom,  (v2_xxreal_0(315) & m1_subset_1(315, k4_ordinal1)) ).
fof(spc316_numerals, axiom,  (v2_xxreal_0(316) & m1_subset_1(316, 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(spc630_numerals, axiom,  (v2_xxreal_0(630) & m1_subset_1(630, k4_ordinal1)) ).
fof(spc631_numerals, axiom,  (v2_xxreal_0(631) & m1_subset_1(631, k4_ordinal1)) ).
fof(spc632_numerals, axiom,  (v2_xxreal_0(632) & m1_subset_1(632, 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) ) ).
