% Mizar problem: t678_xprimes0,xprimes0,4699,7 
fof(t678_xprimes0, conjecture,  ~ (v1_int_2(678)) ).
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_r337_rm337, axiom, k6_xcmplx_0(0, 337)=k4_xcmplx_0(337)).
fof(rqRealDiff__k6_xcmplx_0__r0_r338_rm338, axiom, k6_xcmplx_0(0, 338)=k4_xcmplx_0(338)).
fof(rqRealDiff__k6_xcmplx_0__r0_r676_rm676, axiom, k6_xcmplx_0(0, 676)=k4_xcmplx_0(676)).
fof(rqRealDiff__k6_xcmplx_0__r0_r678_rm678, axiom, k6_xcmplx_0(0, 678)=k4_xcmplx_0(678)).
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_r338_rm337, axiom, k6_xcmplx_0(1, 338)=k4_xcmplx_0(337)).
fof(rqRealDiff__k6_xcmplx_0__r1_r339_rm338, axiom, k6_xcmplx_0(1, 339)=k4_xcmplx_0(338)).
fof(rqRealDiff__k6_xcmplx_0__r1_r677_rm676, axiom, k6_xcmplx_0(1, 677)=k4_xcmplx_0(676)).
fof(rqRealDiff__k6_xcmplx_0__r1_r678_rm677, axiom, k6_xcmplx_0(1, 678)=k4_xcmplx_0(677)).
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__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_r339_rm337, axiom, k6_xcmplx_0(2, 339)=k4_xcmplx_0(337)).
fof(rqRealDiff__k6_xcmplx_0__r2_r678_rm676, axiom, k6_xcmplx_0(2, 678)=k4_xcmplx_0(676)).
fof(rqRealDiff__k6_xcmplx_0__r337_r0_r337, axiom, k6_xcmplx_0(337, 0)=337).
fof(rqRealDiff__k6_xcmplx_0__r337_r337_r0, axiom, k6_xcmplx_0(337, 337)=0).
fof(rqRealDiff__k6_xcmplx_0__r337_rn337d2_rn337d2, axiom, k6_xcmplx_0(337, k7_xcmplx_0(337, 2))=k7_xcmplx_0(337, 2)).
fof(rqRealDiff__k6_xcmplx_0__r338_r0_r338, axiom, k6_xcmplx_0(338, 0)=338).
fof(rqRealDiff__k6_xcmplx_0__r338_r1_r337, axiom, k6_xcmplx_0(338, 1)=337).
fof(rqRealDiff__k6_xcmplx_0__r338_r676_rm338, axiom, k6_xcmplx_0(338, 676)=k4_xcmplx_0(338)).
fof(rqRealDiff__k6_xcmplx_0__r338_rm338_r676, axiom, k6_xcmplx_0(338, k4_xcmplx_0(338))=676).
fof(rqRealDiff__k6_xcmplx_0__r339_r0_r339, axiom, k6_xcmplx_0(339, 0)=339).
fof(rqRealDiff__k6_xcmplx_0__r339_r1_r338, axiom, k6_xcmplx_0(339, 1)=338).
fof(rqRealDiff__k6_xcmplx_0__r339_r2_r337, axiom, k6_xcmplx_0(339, 2)=337).
fof(rqRealDiff__k6_xcmplx_0__r676_r0_r676, axiom, k6_xcmplx_0(676, 0)=676).
fof(rqRealDiff__k6_xcmplx_0__r676_r338_r338, axiom, k6_xcmplx_0(676, 338)=338).
fof(rqRealDiff__k6_xcmplx_0__r677_r0_r677, axiom, k6_xcmplx_0(677, 0)=677).
fof(rqRealDiff__k6_xcmplx_0__r677_r1_r676, axiom, k6_xcmplx_0(677, 1)=676).
fof(rqRealDiff__k6_xcmplx_0__r678_r0_r678, axiom, k6_xcmplx_0(678, 0)=678).
fof(rqRealDiff__k6_xcmplx_0__r678_r1_r677, axiom, k6_xcmplx_0(678, 1)=677).
fof(rqRealDiff__k6_xcmplx_0__r678_r2_r676, axiom, k6_xcmplx_0(678, 2)=676).
fof(rqRealDiff__k6_xcmplx_0__r678_r339_r339, axiom, k6_xcmplx_0(678, 339)=339).
fof(rqRealDiff__k6_xcmplx_0__r678_r676_r2, axiom, k6_xcmplx_0(678, 676)=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_r338_rm339, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 338)=k4_xcmplx_0(339)).
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_rm338_r337, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(338))=337).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm339_r338, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(339))=338).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm678_r677, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(678))=677).
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_r676_rm678, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 676)=k4_xcmplx_0(678)).
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_rm678_r676, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(678))=676).
fof(rqRealDiff__k6_xcmplx_0__rm337_r0_rm337, axiom, k6_xcmplx_0(k4_xcmplx_0(337), 0)=k4_xcmplx_0(337)).
fof(rqRealDiff__k6_xcmplx_0__rm337_r1_rm338, axiom, k6_xcmplx_0(k4_xcmplx_0(337), 1)=k4_xcmplx_0(338)).
fof(rqRealDiff__k6_xcmplx_0__rm337_r2_rm339, axiom, k6_xcmplx_0(k4_xcmplx_0(337), 2)=k4_xcmplx_0(339)).
fof(rqRealDiff__k6_xcmplx_0__rm337_rm337_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(337), k4_xcmplx_0(337))=0).
fof(rqRealDiff__k6_xcmplx_0__rm338_r0_rm338, axiom, k6_xcmplx_0(k4_xcmplx_0(338), 0)=k4_xcmplx_0(338)).
fof(rqRealDiff__k6_xcmplx_0__rm338_r1_rm339, axiom, k6_xcmplx_0(k4_xcmplx_0(338), 1)=k4_xcmplx_0(339)).
fof(rqRealDiff__k6_xcmplx_0__rm338_r338_rm676, axiom, k6_xcmplx_0(k4_xcmplx_0(338), 338)=k4_xcmplx_0(676)).
fof(rqRealDiff__k6_xcmplx_0__rm338_rm1_rm337, axiom, k6_xcmplx_0(k4_xcmplx_0(338), k4_xcmplx_0(1))=k4_xcmplx_0(337)).
fof(rqRealDiff__k6_xcmplx_0__rm338_rm337_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(338), k4_xcmplx_0(337))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm338_rm338_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(338), k4_xcmplx_0(338))=0).
fof(rqRealDiff__k6_xcmplx_0__rm339_rm337_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(339), k4_xcmplx_0(337))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm339_rm338_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(339), k4_xcmplx_0(338))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm339_rm339_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(339), k4_xcmplx_0(339))=0).
fof(rqRealDiff__k6_xcmplx_0__rm676_r0_rm676, axiom, k6_xcmplx_0(k4_xcmplx_0(676), 0)=k4_xcmplx_0(676)).
fof(rqRealDiff__k6_xcmplx_0__rm676_r1_rm677, axiom, k6_xcmplx_0(k4_xcmplx_0(676), 1)=k4_xcmplx_0(677)).
fof(rqRealDiff__k6_xcmplx_0__rm676_r2_rm678, axiom, k6_xcmplx_0(k4_xcmplx_0(676), 2)=k4_xcmplx_0(678)).
fof(rqRealDiff__k6_xcmplx_0__rm676_rm676_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(676), k4_xcmplx_0(676))=0).
fof(rqRealDiff__k6_xcmplx_0__rm678_rm2_rm676, axiom, k6_xcmplx_0(k4_xcmplx_0(678), k4_xcmplx_0(2))=k4_xcmplx_0(676)).
fof(rqRealDiff__k6_xcmplx_0__rm678_rm676_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(678), k4_xcmplx_0(676))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm678_rm678_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(678), k4_xcmplx_0(678))=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__rn337d2_rn337d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(337, 2), k7_xcmplx_0(337, 2))=0).
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(rqRealDiff__k6_xcmplx_0__rnm337d2_rm337_rn337d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(337), 2), k4_xcmplx_0(337))=k7_xcmplx_0(337, 2)).
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_rm337_rnm1d337, axiom, k7_xcmplx_0(1, k4_xcmplx_0(337))=k7_xcmplx_0(k4_xcmplx_0(1), 337)).
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_r338_r0, axiom, k3_xcmplx_0(0, 338)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r339_r0, axiom, k3_xcmplx_0(0, 339)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r678_r0, axiom, k3_xcmplx_0(0, 678)=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_r337_r337, axiom, k3_xcmplx_0(1, 337)=337).
fof(rqRealMult__k3_xcmplx_0__r1_r338_r338, axiom, k3_xcmplx_0(1, 338)=338).
fof(rqRealMult__k3_xcmplx_0__r1_r339_r339, axiom, k3_xcmplx_0(1, 339)=339).
fof(rqRealMult__k3_xcmplx_0__r1_r676_r676, axiom, k3_xcmplx_0(1, 676)=676).
fof(rqRealMult__k3_xcmplx_0__r1_r677_r677, axiom, k3_xcmplx_0(1, 677)=677).
fof(rqRealMult__k3_xcmplx_0__r1_r678_r678, axiom, k3_xcmplx_0(1, 678)=678).
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_r338_r676, axiom, k3_xcmplx_0(2, 338)=676).
fof(rqRealMult__k3_xcmplx_0__r2_r339_r678, axiom, k3_xcmplx_0(2, 339)=678).
fof(rqRealMult__k3_xcmplx_0__r2_rm339_rm678, axiom, k3_xcmplx_0(2, k4_xcmplx_0(339))=k4_xcmplx_0(678)).
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__r2_rnm337d2_rm337, axiom, k3_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(337), 2))=k4_xcmplx_0(337)).
fof(rqRealMult__k3_xcmplx_0__r337_r1_r337, axiom, k3_xcmplx_0(337, 1)=337).
fof(rqRealMult__k3_xcmplx_0__r338_r0_r0, axiom, k3_xcmplx_0(338, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r338_r2_r676, axiom, k3_xcmplx_0(338, 2)=676).
fof(rqRealMult__k3_xcmplx_0__r339_r0_r0, axiom, k3_xcmplx_0(339, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r339_r2_r678, axiom, k3_xcmplx_0(339, 2)=678).
fof(rqRealMult__k3_xcmplx_0__r676_r1_r676, axiom, k3_xcmplx_0(676, 1)=676).
fof(rqRealMult__k3_xcmplx_0__r678_r0_r0, axiom, k3_xcmplx_0(678, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r678_r1_r678, axiom, k3_xcmplx_0(678, 1)=678).
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_rm338_r676, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(338))=676).
fof(rqRealMult__k3_xcmplx_0__rm2_rm339_r678, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(339))=678).
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__rm2_rnm337d2_r337, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(337), 2))=337).
fof(rqRealMult__k3_xcmplx_0__rm337_r1_rm337, axiom, k3_xcmplx_0(k4_xcmplx_0(337), 1)=k4_xcmplx_0(337)).
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_r337_rnm337d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 337)=k7_xcmplx_0(k4_xcmplx_0(337), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r676_rm338, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 676)=k4_xcmplx_0(338)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r678_rm339, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 678)=k4_xcmplx_0(339)).
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__rnm1d337_rm337_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 337), k4_xcmplx_0(337))=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__r337_rm337, axiom, k4_xcmplx_0(337)=k4_xcmplx_0(337)).
fof(rqRealNeg__k4_xcmplx_0__r338_rm338, axiom, k4_xcmplx_0(338)=k4_xcmplx_0(338)).
fof(rqRealNeg__k4_xcmplx_0__r339_rm339, axiom, k4_xcmplx_0(339)=k4_xcmplx_0(339)).
fof(rqRealNeg__k4_xcmplx_0__r676_rm676, axiom, k4_xcmplx_0(676)=k4_xcmplx_0(676)).
fof(rqRealNeg__k4_xcmplx_0__r677_rm677, axiom, k4_xcmplx_0(677)=k4_xcmplx_0(677)).
fof(rqRealNeg__k4_xcmplx_0__r678_rm678, axiom, k4_xcmplx_0(678)=k4_xcmplx_0(678)).
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__rm337_r337, axiom, k4_xcmplx_0(k4_xcmplx_0(337))=337).
fof(rqRealNeg__k4_xcmplx_0__rm338_r338, axiom, k4_xcmplx_0(k4_xcmplx_0(338))=338).
fof(rqRealNeg__k4_xcmplx_0__rm339_r339, axiom, k4_xcmplx_0(k4_xcmplx_0(339))=339).
fof(rqRealNeg__k4_xcmplx_0__rm676_r676, axiom, k4_xcmplx_0(k4_xcmplx_0(676))=676).
fof(rqRealNeg__k4_xcmplx_0__rm677_r677, axiom, k4_xcmplx_0(k4_xcmplx_0(677))=677).
fof(rqRealNeg__k4_xcmplx_0__rm678_r678, axiom, k4_xcmplx_0(k4_xcmplx_0(678))=678).
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__rn337d2_rnm337d2, axiom, k4_xcmplx_0(k7_xcmplx_0(337, 2))=k7_xcmplx_0(k4_xcmplx_0(337), 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(rqRealNeg__k4_xcmplx_0__rnm337d2_rn337d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(337), 2))=k7_xcmplx_0(337, 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(spc337_numerals, axiom,  (v2_xxreal_0(337) & m1_subset_1(337, k4_ordinal1)) ).
fof(spc338_numerals, axiom,  (v2_xxreal_0(338) & m1_subset_1(338, k4_ordinal1)) ).
fof(spc339_numerals, axiom,  (v2_xxreal_0(339) & m1_subset_1(339, 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(spc676_numerals, axiom,  (v2_xxreal_0(676) & m1_subset_1(676, k4_ordinal1)) ).
fof(spc677_numerals, axiom,  (v2_xxreal_0(677) & m1_subset_1(677, k4_ordinal1)) ).
fof(spc678_numerals, axiom,  (v2_xxreal_0(678) & m1_subset_1(678, 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) ) ).
