% Mizar problem: t1024_xprimes0,xprimes0,7173,7 
fof(t1024_xprimes0, conjecture,  ~ (v1_int_2(1024)) ).
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_r1024_rm1024, axiom, k6_xcmplx_0(0, 1024)=k4_xcmplx_0(1024)).
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_r511_rm511, axiom, k6_xcmplx_0(0, 511)=k4_xcmplx_0(511)).
fof(rqRealDiff__k6_xcmplx_0__r0_r512_rm512, axiom, k6_xcmplx_0(0, 512)=k4_xcmplx_0(512)).
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__r1022_r0_r1022, axiom, k6_xcmplx_0(1022, 0)=1022).
fof(rqRealDiff__k6_xcmplx_0__r1022_r511_r511, axiom, k6_xcmplx_0(1022, 511)=511).
fof(rqRealDiff__k6_xcmplx_0__r1022_r512_r510, axiom, k6_xcmplx_0(1022, 512)=510).
fof(rqRealDiff__k6_xcmplx_0__r1023_r1023_r0, axiom, k6_xcmplx_0(1023, 1023)=0).
fof(rqRealDiff__k6_xcmplx_0__r1023_r1024_rm1, axiom, k6_xcmplx_0(1023, 1024)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1023_r1_r1022, axiom, k6_xcmplx_0(1023, 1)=1022).
fof(rqRealDiff__k6_xcmplx_0__r1023_r512_r511, axiom, k6_xcmplx_0(1023, 512)=511).
fof(rqRealDiff__k6_xcmplx_0__r1023_rm1_r1024, axiom, k6_xcmplx_0(1023, k4_xcmplx_0(1))=1024).
fof(rqRealDiff__k6_xcmplx_0__r1024_r0_r1024, axiom, k6_xcmplx_0(1024, 0)=1024).
fof(rqRealDiff__k6_xcmplx_0__r1024_r1023_r1, axiom, k6_xcmplx_0(1024, 1023)=1).
fof(rqRealDiff__k6_xcmplx_0__r1024_r1024_r0, axiom, k6_xcmplx_0(1024, 1024)=0).
fof(rqRealDiff__k6_xcmplx_0__r1024_r1_r1023, axiom, k6_xcmplx_0(1024, 1)=1023).
fof(rqRealDiff__k6_xcmplx_0__r1024_r2_r1022, axiom, k6_xcmplx_0(1024, 2)=1022).
fof(rqRealDiff__k6_xcmplx_0__r1024_r512_r512, axiom, k6_xcmplx_0(1024, 512)=512).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1023_rm1022, axiom, k6_xcmplx_0(1, 1023)=k4_xcmplx_0(1022)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1024_rm1023, axiom, k6_xcmplx_0(1, 1024)=k4_xcmplx_0(1023)).
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_r511_rm510, axiom, k6_xcmplx_0(1, 511)=k4_xcmplx_0(510)).
fof(rqRealDiff__k6_xcmplx_0__r1_r512_rm511, axiom, k6_xcmplx_0(1, 512)=k4_xcmplx_0(511)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_rm511_r512, axiom, k6_xcmplx_0(1, k4_xcmplx_0(511))=512).
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_r1024_rm1022, axiom, k6_xcmplx_0(2, 1024)=k4_xcmplx_0(1022)).
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_r512_rm510, axiom, k6_xcmplx_0(2, 512)=k4_xcmplx_0(510)).
fof(rqRealDiff__k6_xcmplx_0__r510_r0_r510, axiom, k6_xcmplx_0(510, 0)=510).
fof(rqRealDiff__k6_xcmplx_0__r511_r0_r511, axiom, k6_xcmplx_0(511, 0)=511).
fof(rqRealDiff__k6_xcmplx_0__r511_r1_r510, axiom, k6_xcmplx_0(511, 1)=510).
fof(rqRealDiff__k6_xcmplx_0__r511_r511_r0, axiom, k6_xcmplx_0(511, 511)=0).
fof(rqRealDiff__k6_xcmplx_0__r511_r512_rm1, axiom, k6_xcmplx_0(511, 512)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r511_rm1_r512, axiom, k6_xcmplx_0(511, k4_xcmplx_0(1))=512).
fof(rqRealDiff__k6_xcmplx_0__r512_r0_r512, axiom, k6_xcmplx_0(512, 0)=512).
fof(rqRealDiff__k6_xcmplx_0__r512_r1022_rm510, axiom, k6_xcmplx_0(512, 1022)=k4_xcmplx_0(510)).
fof(rqRealDiff__k6_xcmplx_0__r512_r1024_rm512, axiom, k6_xcmplx_0(512, 1024)=k4_xcmplx_0(512)).
fof(rqRealDiff__k6_xcmplx_0__r512_r1_r511, axiom, k6_xcmplx_0(512, 1)=511).
fof(rqRealDiff__k6_xcmplx_0__r512_r2_r510, axiom, k6_xcmplx_0(512, 2)=510).
fof(rqRealDiff__k6_xcmplx_0__r512_r512_r0, axiom, k6_xcmplx_0(512, 512)=0).
fof(rqRealDiff__k6_xcmplx_0__r512_rm512_r1024, axiom, k6_xcmplx_0(512, k4_xcmplx_0(512))=1024).
fof(rqRealDiff__k6_xcmplx_0__rm1022_r0_rm1022, axiom, k6_xcmplx_0(k4_xcmplx_0(1022), 0)=k4_xcmplx_0(1022)).
fof(rqRealDiff__k6_xcmplx_0__rm1022_r1_rm1023, axiom, k6_xcmplx_0(k4_xcmplx_0(1022), 1)=k4_xcmplx_0(1023)).
fof(rqRealDiff__k6_xcmplx_0__rm1022_r2_rm1024, axiom, k6_xcmplx_0(k4_xcmplx_0(1022), 2)=k4_xcmplx_0(1024)).
fof(rqRealDiff__k6_xcmplx_0__rm1022_rm1022_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1022), k4_xcmplx_0(1022))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1022_rm512_rm510, axiom, k6_xcmplx_0(k4_xcmplx_0(1022), k4_xcmplx_0(512))=k4_xcmplx_0(510)).
fof(rqRealDiff__k6_xcmplx_0__rm1023_r1_rm1024, axiom, k6_xcmplx_0(k4_xcmplx_0(1023), 1)=k4_xcmplx_0(1024)).
fof(rqRealDiff__k6_xcmplx_0__rm1023_rm1022_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1023), k4_xcmplx_0(1022))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm1023_rm1023_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1023), k4_xcmplx_0(1023))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1024_r0_rm1024, axiom, k6_xcmplx_0(k4_xcmplx_0(1024), 0)=k4_xcmplx_0(1024)).
fof(rqRealDiff__k6_xcmplx_0__rm1024_rm1022_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(1024), k4_xcmplx_0(1022))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm1024_rm1024_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1024), k4_xcmplx_0(1024))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1024_rm1_rm1023, axiom, k6_xcmplx_0(k4_xcmplx_0(1024), k4_xcmplx_0(1))=k4_xcmplx_0(1023)).
fof(rqRealDiff__k6_xcmplx_0__rm1024_rm512_rm512, axiom, k6_xcmplx_0(k4_xcmplx_0(1024), k4_xcmplx_0(512))=k4_xcmplx_0(512)).
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_r1023_rm1024, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 1023)=k4_xcmplx_0(1024)).
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_r511_rm512, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 511)=k4_xcmplx_0(512)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1023_r1022, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1023))=1022).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1024_r1023, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1024))=1023).
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_rm511_r510, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(511))=510).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm512_r511, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(512))=511).
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_rm1024_r1022, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1024))=1022).
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_rm512_r510, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(512))=510).
fof(rqRealDiff__k6_xcmplx_0__rm510_r0_rm510, axiom, k6_xcmplx_0(k4_xcmplx_0(510), 0)=k4_xcmplx_0(510)).
fof(rqRealDiff__k6_xcmplx_0__rm510_r1_rm511, axiom, k6_xcmplx_0(k4_xcmplx_0(510), 1)=k4_xcmplx_0(511)).
fof(rqRealDiff__k6_xcmplx_0__rm510_r2_rm512, axiom, k6_xcmplx_0(k4_xcmplx_0(510), 2)=k4_xcmplx_0(512)).
fof(rqRealDiff__k6_xcmplx_0__rm510_rm510_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(510), k4_xcmplx_0(510))=0).
fof(rqRealDiff__k6_xcmplx_0__rm511_r1_rm512, axiom, k6_xcmplx_0(k4_xcmplx_0(511), 1)=k4_xcmplx_0(512)).
fof(rqRealDiff__k6_xcmplx_0__rm511_rm511_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(511), k4_xcmplx_0(511))=0).
fof(rqRealDiff__k6_xcmplx_0__rm512_r0_rm512, axiom, k6_xcmplx_0(k4_xcmplx_0(512), 0)=k4_xcmplx_0(512)).
fof(rqRealDiff__k6_xcmplx_0__rm512_r512_rm1024, axiom, k6_xcmplx_0(k4_xcmplx_0(512), 512)=k4_xcmplx_0(1024)).
fof(rqRealDiff__k6_xcmplx_0__rm512_rm1024_r512, axiom, k6_xcmplx_0(k4_xcmplx_0(512), k4_xcmplx_0(1024))=512).
fof(rqRealDiff__k6_xcmplx_0__rm512_rm1_rm511, axiom, k6_xcmplx_0(k4_xcmplx_0(512), k4_xcmplx_0(1))=k4_xcmplx_0(511)).
fof(rqRealDiff__k6_xcmplx_0__rm512_rm510_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(512), k4_xcmplx_0(510))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm512_rm512_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(512), k4_xcmplx_0(512))=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_rm512_rn1023d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(512))=k7_xcmplx_0(1023, 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(rqRealDiff__k6_xcmplx_0__rnm1d512_rnm1d512_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 512), k7_xcmplx_0(k4_xcmplx_0(1), 512))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r1024_rn1d1024, axiom, k7_xcmplx_0(1, 1024)=k7_xcmplx_0(1, 1024)).
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_r512_rn1d512, axiom, k7_xcmplx_0(1, 512)=k7_xcmplx_0(1, 512)).
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_rm512_rnm1d512, axiom, k7_xcmplx_0(1, k4_xcmplx_0(512))=k7_xcmplx_0(k4_xcmplx_0(1), 512)).
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_r1024_r0, axiom, k3_xcmplx_0(0, 1024)=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_r510_r0, axiom, k3_xcmplx_0(0, 510)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r511_r0, axiom, k3_xcmplx_0(0, 511)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r512_r0, axiom, k3_xcmplx_0(0, 512)=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__r1023_r1_r1023, axiom, k3_xcmplx_0(1023, 1)=1023).
fof(rqRealMult__k3_xcmplx_0__r1024_r0_r0, axiom, k3_xcmplx_0(1024, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1024_r1_r1024, axiom, k3_xcmplx_0(1024, 1)=1024).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r1022_r1022, axiom, k3_xcmplx_0(1, 1022)=1022).
fof(rqRealMult__k3_xcmplx_0__r1_r1023_r1023, axiom, k3_xcmplx_0(1, 1023)=1023).
fof(rqRealMult__k3_xcmplx_0__r1_r1024_r1024, axiom, k3_xcmplx_0(1, 1024)=1024).
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_r510_r510, axiom, k3_xcmplx_0(1, 510)=510).
fof(rqRealMult__k3_xcmplx_0__r1_r511_r511, axiom, k3_xcmplx_0(1, 511)=511).
fof(rqRealMult__k3_xcmplx_0__r1_r512_r512, axiom, k3_xcmplx_0(1, 512)=512).
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_rm512_rm512, axiom, k3_xcmplx_0(1, k4_xcmplx_0(512))=k4_xcmplx_0(512)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d1024_rn1d1024, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 1024))=k7_xcmplx_0(1, 1024)).
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_r511_r1022, axiom, k3_xcmplx_0(2, 511)=1022).
fof(rqRealMult__k3_xcmplx_0__r2_r512_r1024, axiom, k3_xcmplx_0(2, 512)=1024).
fof(rqRealMult__k3_xcmplx_0__r2_rm511_rm1022, axiom, k3_xcmplx_0(2, k4_xcmplx_0(511))=k4_xcmplx_0(1022)).
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__r510_r0_r0, axiom, k3_xcmplx_0(510, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r511_r0_r0, axiom, k3_xcmplx_0(511, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r511_r2_r1022, axiom, k3_xcmplx_0(511, 2)=1022).
fof(rqRealMult__k3_xcmplx_0__r512_r0_r0, axiom, k3_xcmplx_0(512, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r512_r1_r512, axiom, k3_xcmplx_0(512, 1)=512).
fof(rqRealMult__k3_xcmplx_0__r512_r2_r1024, axiom, k3_xcmplx_0(512, 2)=1024).
fof(rqRealMult__k3_xcmplx_0__r512_rm2_rm1024, axiom, k3_xcmplx_0(512, k4_xcmplx_0(2))=k4_xcmplx_0(1024)).
fof(rqRealMult__k3_xcmplx_0__r512_rn1d512_r1, axiom, k3_xcmplx_0(512, k7_xcmplx_0(1, 512))=1).
fof(rqRealMult__k3_xcmplx_0__r512_rnm1d512_rm1, axiom, k3_xcmplx_0(512, k7_xcmplx_0(k4_xcmplx_0(1), 512))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm1024_r1_rm1024, axiom, k3_xcmplx_0(k4_xcmplx_0(1024), 1)=k4_xcmplx_0(1024)).
fof(rqRealMult__k3_xcmplx_0__rm1024_rn1d2_rm512, axiom, k3_xcmplx_0(k4_xcmplx_0(1024), k7_xcmplx_0(1, 2))=k4_xcmplx_0(512)).
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_rm511_r1022, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(511))=1022).
fof(rqRealMult__k3_xcmplx_0__rm2_rm512_r1024, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(512))=1024).
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__rm512_r1_rm512, axiom, k3_xcmplx_0(k4_xcmplx_0(512), 1)=k4_xcmplx_0(512)).
fof(rqRealMult__k3_xcmplx_0__rm512_r2_rm1024, axiom, k3_xcmplx_0(k4_xcmplx_0(512), 2)=k4_xcmplx_0(1024)).
fof(rqRealMult__k3_xcmplx_0__rm512_rm2_r1024, axiom, k3_xcmplx_0(k4_xcmplx_0(512), k4_xcmplx_0(2))=1024).
fof(rqRealMult__k3_xcmplx_0__rm512_rn1d512_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(512), k7_xcmplx_0(1, 512))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm512_rnm1d512_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(512), k7_xcmplx_0(k4_xcmplx_0(1), 512))=1).
fof(rqRealMult__k3_xcmplx_0__rn1d1024_r1_rn1d1024, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 1024), 1)=k7_xcmplx_0(1, 1024)).
fof(rqRealMult__k3_xcmplx_0__rn1d1024_rm2_rnm1d512, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 1024), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(1), 512)).
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__rn1d512_r1_rn1d512, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 512), 1)=k7_xcmplx_0(1, 512)).
fof(rqRealMult__k3_xcmplx_0__rn1d512_r512_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 512), 512)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d512_rm512_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 512), k4_xcmplx_0(512))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d1024_r1_rnm1d1024, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 1024), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 1024)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r1022_rm511, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1022)=k4_xcmplx_0(511)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r1024_rm512, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1024)=k4_xcmplx_0(512)).
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_rm2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(2))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d512_r1_rnm1d512, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 512), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 512)).
fof(rqRealMult__k3_xcmplx_0__rnm1d512_r512_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 512), 512)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d512_rm512_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 512), k4_xcmplx_0(512))=1).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r1022_rm1022, axiom, k4_xcmplx_0(1022)=k4_xcmplx_0(1022)).
fof(rqRealNeg__k4_xcmplx_0__r1023_rm1023, axiom, k4_xcmplx_0(1023)=k4_xcmplx_0(1023)).
fof(rqRealNeg__k4_xcmplx_0__r1024_rm1024, axiom, k4_xcmplx_0(1024)=k4_xcmplx_0(1024)).
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__r510_rm510, axiom, k4_xcmplx_0(510)=k4_xcmplx_0(510)).
fof(rqRealNeg__k4_xcmplx_0__r511_rm511, axiom, k4_xcmplx_0(511)=k4_xcmplx_0(511)).
fof(rqRealNeg__k4_xcmplx_0__r512_rm512, axiom, k4_xcmplx_0(512)=k4_xcmplx_0(512)).
fof(rqRealNeg__k4_xcmplx_0__rm1022_r1022, axiom, k4_xcmplx_0(k4_xcmplx_0(1022))=1022).
fof(rqRealNeg__k4_xcmplx_0__rm1023_r1023, axiom, k4_xcmplx_0(k4_xcmplx_0(1023))=1023).
fof(rqRealNeg__k4_xcmplx_0__rm1024_r1024, axiom, k4_xcmplx_0(k4_xcmplx_0(1024))=1024).
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__rm510_r510, axiom, k4_xcmplx_0(k4_xcmplx_0(510))=510).
fof(rqRealNeg__k4_xcmplx_0__rm511_r511, axiom, k4_xcmplx_0(k4_xcmplx_0(511))=511).
fof(rqRealNeg__k4_xcmplx_0__rm512_r512, axiom, k4_xcmplx_0(k4_xcmplx_0(512))=512).
fof(rqRealNeg__k4_xcmplx_0__rn1d1024_rnm1d1024, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 1024))=k7_xcmplx_0(k4_xcmplx_0(1), 1024)).
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__rnm1023d2_rn1023d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1023), 2))=k7_xcmplx_0(1023, 2)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d1024_rn1d1024, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 1024))=k7_xcmplx_0(1, 1024)).
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(rqRealNeg__k4_xcmplx_0__rnm1d512_rn1d512, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 512))=k7_xcmplx_0(1, 512)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc1022_numerals, axiom,  (v2_xxreal_0(1022) & m1_subset_1(1022, k4_ordinal1)) ).
fof(spc1023_numerals, axiom,  (v2_xxreal_0(1023) & m1_subset_1(1023, k4_ordinal1)) ).
fof(spc1024_numerals, axiom,  (v2_xxreal_0(1024) & m1_subset_1(1024, 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(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(spc510_numerals, axiom,  (v2_xxreal_0(510) & m1_subset_1(510, k4_ordinal1)) ).
fof(spc511_numerals, axiom,  (v2_xxreal_0(511) & m1_subset_1(511, k4_ordinal1)) ).
fof(spc512_numerals, axiom,  (v2_xxreal_0(512) & m1_subset_1(512, 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) ) ).
