% Mizar problem: t667_xprimes0,xprimes0,4623,7 
fof(t667_xprimes0, conjecture,  ~ (v1_int_2(667)) ).
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_r22_rm22, axiom, k6_xcmplx_0(0, 22)=k4_xcmplx_0(22)).
fof(rqRealDiff__k6_xcmplx_0__r0_r23_rm23, axiom, k6_xcmplx_0(0, 23)=k4_xcmplx_0(23)).
fof(rqRealDiff__k6_xcmplx_0__r0_r28_rm28, axiom, k6_xcmplx_0(0, 28)=k4_xcmplx_0(28)).
fof(rqRealDiff__k6_xcmplx_0__r0_r29_rm29, axiom, k6_xcmplx_0(0, 29)=k4_xcmplx_0(29)).
fof(rqRealDiff__k6_xcmplx_0__r0_r638_rm638, axiom, k6_xcmplx_0(0, 638)=k4_xcmplx_0(638)).
fof(rqRealDiff__k6_xcmplx_0__r0_r667_rm667, axiom, k6_xcmplx_0(0, 667)=k4_xcmplx_0(667)).
fof(rqRealDiff__k6_xcmplx_0__r0_r6_rm6, axiom, k6_xcmplx_0(0, 6)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm29_r29, axiom, k6_xcmplx_0(0, k4_xcmplx_0(29))=29).
fof(rqRealDiff__k6_xcmplx_0__r0_rm6_r6, axiom, k6_xcmplx_0(0, k4_xcmplx_0(6))=6).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d6_rnm1d6, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 6))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d6_rn1d6, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 6))=k7_xcmplx_0(1, 6)).
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_r23_rm22, axiom, k6_xcmplx_0(1, 23)=k4_xcmplx_0(22)).
fof(rqRealDiff__k6_xcmplx_0__r1_r29_rm28, axiom, k6_xcmplx_0(1, 29)=k4_xcmplx_0(28)).
fof(rqRealDiff__k6_xcmplx_0__r1_r667_rm666, axiom, k6_xcmplx_0(1, 667)=k4_xcmplx_0(666)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm22_r23, axiom, k6_xcmplx_0(1, k4_xcmplx_0(22))=23).
fof(rqRealDiff__k6_xcmplx_0__r1_rm666_r667, axiom, k6_xcmplx_0(1, k4_xcmplx_0(666))=667).
fof(rqRealDiff__k6_xcmplx_0__r1_rn6d29_rn23d29, axiom, k6_xcmplx_0(1, k7_xcmplx_0(6, 29))=k7_xcmplx_0(23, 29)).
fof(rqRealDiff__k6_xcmplx_0__r22_r0_r22, axiom, k6_xcmplx_0(22, 0)=22).
fof(rqRealDiff__k6_xcmplx_0__r22_r22_r0, axiom, k6_xcmplx_0(22, 22)=0).
fof(rqRealDiff__k6_xcmplx_0__r22_r23_rm1, axiom, k6_xcmplx_0(22, 23)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r22_r28_rm6, axiom, k6_xcmplx_0(22, 28)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__r22_rm1_r23, axiom, k6_xcmplx_0(22, k4_xcmplx_0(1))=23).
fof(rqRealDiff__k6_xcmplx_0__r23_r0_r23, axiom, k6_xcmplx_0(23, 0)=23).
fof(rqRealDiff__k6_xcmplx_0__r23_r1_r22, axiom, k6_xcmplx_0(23, 1)=22).
fof(rqRealDiff__k6_xcmplx_0__r23_r22_r1, axiom, k6_xcmplx_0(23, 22)=1).
fof(rqRealDiff__k6_xcmplx_0__r23_r23_r0, axiom, k6_xcmplx_0(23, 23)=0).
fof(rqRealDiff__k6_xcmplx_0__r23_r29_rm6, axiom, k6_xcmplx_0(23, 29)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__r23_r667_rm644, axiom, k6_xcmplx_0(23, 667)=k4_xcmplx_0(644)).
fof(rqRealDiff__k6_xcmplx_0__r23_rm6_r29, axiom, k6_xcmplx_0(23, k4_xcmplx_0(6))=29).
fof(rqRealDiff__k6_xcmplx_0__r28_r0_r28, axiom, k6_xcmplx_0(28, 0)=28).
fof(rqRealDiff__k6_xcmplx_0__r28_r22_r6, axiom, k6_xcmplx_0(28, 22)=6).
fof(rqRealDiff__k6_xcmplx_0__r28_r28_r0, axiom, k6_xcmplx_0(28, 28)=0).
fof(rqRealDiff__k6_xcmplx_0__r28_r29_rm1, axiom, k6_xcmplx_0(28, 29)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r28_r6_r22, axiom, k6_xcmplx_0(28, 6)=22).
fof(rqRealDiff__k6_xcmplx_0__r28_rm1_r29, axiom, k6_xcmplx_0(28, k4_xcmplx_0(1))=29).
fof(rqRealDiff__k6_xcmplx_0__r29_r0_r29, axiom, k6_xcmplx_0(29, 0)=29).
fof(rqRealDiff__k6_xcmplx_0__r29_r1_r28, axiom, k6_xcmplx_0(29, 1)=28).
fof(rqRealDiff__k6_xcmplx_0__r29_r23_r6, axiom, k6_xcmplx_0(29, 23)=6).
fof(rqRealDiff__k6_xcmplx_0__r29_r28_r1, axiom, k6_xcmplx_0(29, 28)=1).
fof(rqRealDiff__k6_xcmplx_0__r29_r29_r0, axiom, k6_xcmplx_0(29, 29)=0).
fof(rqRealDiff__k6_xcmplx_0__r29_r6_r23, axiom, k6_xcmplx_0(29, 6)=23).
fof(rqRealDiff__k6_xcmplx_0__r638_r0_r638, axiom, k6_xcmplx_0(638, 0)=638).
fof(rqRealDiff__k6_xcmplx_0__r644_r0_r644, axiom, k6_xcmplx_0(644, 0)=644).
fof(rqRealDiff__k6_xcmplx_0__r666_r0_r666, axiom, k6_xcmplx_0(666, 0)=666).
fof(rqRealDiff__k6_xcmplx_0__r667_r1_r666, axiom, k6_xcmplx_0(667, 1)=666).
fof(rqRealDiff__k6_xcmplx_0__r667_r23_r644, axiom, k6_xcmplx_0(667, 23)=644).
fof(rqRealDiff__k6_xcmplx_0__r667_r29_r638, axiom, k6_xcmplx_0(667, 29)=638).
fof(rqRealDiff__k6_xcmplx_0__r6_r0_r6, axiom, k6_xcmplx_0(6, 0)=6).
fof(rqRealDiff__k6_xcmplx_0__r6_r28_rm22, axiom, k6_xcmplx_0(6, 28)=k4_xcmplx_0(22)).
fof(rqRealDiff__k6_xcmplx_0__r6_r29_rm23, axiom, k6_xcmplx_0(6, 29)=k4_xcmplx_0(23)).
fof(rqRealDiff__k6_xcmplx_0__r6_r6_r0, axiom, k6_xcmplx_0(6, 6)=0).
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_r22_rm23, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 22)=k4_xcmplx_0(23)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r28_rm29, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 28)=k4_xcmplx_0(29)).
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_rm23_r22, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(23))=22).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm29_r28, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(29))=28).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm667_r666, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(667))=666).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm6d29_rnm23d29, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(6), 29))=k7_xcmplx_0(k4_xcmplx_0(23), 29)).
fof(rqRealDiff__k6_xcmplx_0__rm22_r0_rm22, axiom, k6_xcmplx_0(k4_xcmplx_0(22), 0)=k4_xcmplx_0(22)).
fof(rqRealDiff__k6_xcmplx_0__rm22_r1_rm23, axiom, k6_xcmplx_0(k4_xcmplx_0(22), 1)=k4_xcmplx_0(23)).
fof(rqRealDiff__k6_xcmplx_0__rm22_r6_rm28, axiom, k6_xcmplx_0(k4_xcmplx_0(22), 6)=k4_xcmplx_0(28)).
fof(rqRealDiff__k6_xcmplx_0__rm22_rm22_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(22), k4_xcmplx_0(22))=0).
fof(rqRealDiff__k6_xcmplx_0__rm22_rm23_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(22), k4_xcmplx_0(23))=1).
fof(rqRealDiff__k6_xcmplx_0__rm23_r0_rm23, axiom, k6_xcmplx_0(k4_xcmplx_0(23), 0)=k4_xcmplx_0(23)).
fof(rqRealDiff__k6_xcmplx_0__rm23_r6_rm29, axiom, k6_xcmplx_0(k4_xcmplx_0(23), 6)=k4_xcmplx_0(29)).
fof(rqRealDiff__k6_xcmplx_0__rm23_rm1_rm22, axiom, k6_xcmplx_0(k4_xcmplx_0(23), k4_xcmplx_0(1))=k4_xcmplx_0(22)).
fof(rqRealDiff__k6_xcmplx_0__rm23_rm22_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(23), k4_xcmplx_0(22))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm23_rm23_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(23), k4_xcmplx_0(23))=0).
fof(rqRealDiff__k6_xcmplx_0__rm28_r0_rm28, axiom, k6_xcmplx_0(k4_xcmplx_0(28), 0)=k4_xcmplx_0(28)).
fof(rqRealDiff__k6_xcmplx_0__rm28_r1_rm29, axiom, k6_xcmplx_0(k4_xcmplx_0(28), 1)=k4_xcmplx_0(29)).
fof(rqRealDiff__k6_xcmplx_0__rm28_rm22_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(28), k4_xcmplx_0(22))=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm28_rm28_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(28), k4_xcmplx_0(28))=0).
fof(rqRealDiff__k6_xcmplx_0__rm29_r0_rm29, axiom, k6_xcmplx_0(k4_xcmplx_0(29), 0)=k4_xcmplx_0(29)).
fof(rqRealDiff__k6_xcmplx_0__rm29_rm1_rm28, axiom, k6_xcmplx_0(k4_xcmplx_0(29), k4_xcmplx_0(1))=k4_xcmplx_0(28)).
fof(rqRealDiff__k6_xcmplx_0__rm29_rm23_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(29), k4_xcmplx_0(23))=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm29_rm28_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(29), k4_xcmplx_0(28))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm29_rm29_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(29), k4_xcmplx_0(29))=0).
fof(rqRealDiff__k6_xcmplx_0__rm29_rm6_rm23, axiom, k6_xcmplx_0(k4_xcmplx_0(29), k4_xcmplx_0(6))=k4_xcmplx_0(23)).
fof(rqRealDiff__k6_xcmplx_0__rm638_rm638_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(638), k4_xcmplx_0(638))=0).
fof(rqRealDiff__k6_xcmplx_0__rm644_rm644_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(644), k4_xcmplx_0(644))=0).
fof(rqRealDiff__k6_xcmplx_0__rm666_rm666_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(666), k4_xcmplx_0(666))=0).
fof(rqRealDiff__k6_xcmplx_0__rm667_rm667_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(667), k4_xcmplx_0(667))=0).
fof(rqRealDiff__k6_xcmplx_0__rm6_r0_rm6, axiom, k6_xcmplx_0(k4_xcmplx_0(6), 0)=k4_xcmplx_0(6)).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm28_r22, axiom, k6_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(28))=22).
fof(rqRealDiff__k6_xcmplx_0__rm6_rm6_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(6))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_r0_rn1d6, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 6), 0)=k7_xcmplx_0(1, 6)).
fof(rqRealDiff__k6_xcmplx_0__rn1d6_rn1d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 6), k7_xcmplx_0(1, 6))=0).
fof(rqRealDiff__k6_xcmplx_0__rn29d6_rn29d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(29, 6), k7_xcmplx_0(29, 6))=0).
fof(rqRealDiff__k6_xcmplx_0__rn6d29_r1_rnm23d29, axiom, k6_xcmplx_0(k7_xcmplx_0(6, 29), 1)=k7_xcmplx_0(k4_xcmplx_0(23), 29)).
fof(rqRealDiff__k6_xcmplx_0__rn6d29_rn6d29_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(6, 29), k7_xcmplx_0(6, 29))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d6_rnm1d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), k7_xcmplx_0(k4_xcmplx_0(1), 6))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm23d6_rnm23d6_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23), 6), k7_xcmplx_0(k4_xcmplx_0(23), 6))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm6d29_rm1_rn23d29, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6), 29), k4_xcmplx_0(1))=k7_xcmplx_0(23, 29)).
fof(rqRealDiff__k6_xcmplx_0__rnm6d29_rnm6d29_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6), 29), k7_xcmplx_0(k4_xcmplx_0(6), 29))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r28_rn1d28, axiom, k7_xcmplx_0(1, 28)=k7_xcmplx_0(1, 28)).
fof(rqRealDiv__k7_xcmplx_0__r1_r29_rn1d29, axiom, k7_xcmplx_0(1, 29)=k7_xcmplx_0(1, 29)).
fof(rqRealDiv__k7_xcmplx_0__r1_r6_rn1d6, axiom, k7_xcmplx_0(1, 6)=k7_xcmplx_0(1, 6)).
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_rm22_rnm1d22, axiom, k7_xcmplx_0(1, k4_xcmplx_0(22))=k7_xcmplx_0(k4_xcmplx_0(1), 22)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm23_rnm1d23, axiom, k7_xcmplx_0(1, k4_xcmplx_0(23))=k7_xcmplx_0(k4_xcmplx_0(1), 23)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm29_rnm1d29, axiom, k7_xcmplx_0(1, k4_xcmplx_0(29))=k7_xcmplx_0(k4_xcmplx_0(1), 29)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm6_rnm1d6, axiom, k7_xcmplx_0(1, k4_xcmplx_0(6))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d6_r6, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 6))=6).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d6_rm6, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 6))=k4_xcmplx_0(6)).
fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 1)=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_r22_r0, axiom, k3_xcmplx_0(0, 22)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r23_r0, axiom, k3_xcmplx_0(0, 23)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r638_r0, axiom, k3_xcmplx_0(0, 638)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r6_r0, axiom, k3_xcmplx_0(0, 6)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d6_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 6))=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_r22_r22, axiom, k3_xcmplx_0(1, 22)=22).
fof(rqRealMult__k3_xcmplx_0__r1_r23_r23, axiom, k3_xcmplx_0(1, 23)=23).
fof(rqRealMult__k3_xcmplx_0__r1_r28_r28, axiom, k3_xcmplx_0(1, 28)=28).
fof(rqRealMult__k3_xcmplx_0__r1_r29_r29, axiom, k3_xcmplx_0(1, 29)=29).
fof(rqRealMult__k3_xcmplx_0__r1_r638_r638, axiom, k3_xcmplx_0(1, 638)=638).
fof(rqRealMult__k3_xcmplx_0__r1_r644_r644, axiom, k3_xcmplx_0(1, 644)=644).
fof(rqRealMult__k3_xcmplx_0__r1_r666_r666, axiom, k3_xcmplx_0(1, 666)=666).
fof(rqRealMult__k3_xcmplx_0__r1_r667_r667, axiom, k3_xcmplx_0(1, 667)=667).
fof(rqRealMult__k3_xcmplx_0__r1_r6_r6, axiom, k3_xcmplx_0(1, 6)=6).
fof(rqRealMult__k3_xcmplx_0__r1_rm28_rm28, axiom, k3_xcmplx_0(1, k4_xcmplx_0(28))=k4_xcmplx_0(28)).
fof(rqRealMult__k3_xcmplx_0__r1_rm6_rm6, axiom, k3_xcmplx_0(1, k4_xcmplx_0(6))=k4_xcmplx_0(6)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d28_rn1d28, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 28))=k7_xcmplx_0(1, 28)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d6_rn1d6, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 6))=k7_xcmplx_0(1, 6)).
fof(rqRealMult__k3_xcmplx_0__r22_r0_r0, axiom, k3_xcmplx_0(22, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r22_r1_r22, axiom, k3_xcmplx_0(22, 1)=22).
fof(rqRealMult__k3_xcmplx_0__r22_r29_r638, axiom, k3_xcmplx_0(22, 29)=638).
fof(rqRealMult__k3_xcmplx_0__r22_rm29_rm638, axiom, k3_xcmplx_0(22, k4_xcmplx_0(29))=k4_xcmplx_0(638)).
fof(rqRealMult__k3_xcmplx_0__r23_r0_r0, axiom, k3_xcmplx_0(23, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r23_r1_r23, axiom, k3_xcmplx_0(23, 1)=23).
fof(rqRealMult__k3_xcmplx_0__r23_r28_r644, axiom, k3_xcmplx_0(23, 28)=644).
fof(rqRealMult__k3_xcmplx_0__r23_r29_r667, axiom, k3_xcmplx_0(23, 29)=667).
fof(rqRealMult__k3_xcmplx_0__r23_rn1d6_rn23d6, axiom, k3_xcmplx_0(23, k7_xcmplx_0(1, 6))=k7_xcmplx_0(23, 6)).
fof(rqRealMult__k3_xcmplx_0__r23_rnm1d6_rnm23d6, axiom, k3_xcmplx_0(23, k7_xcmplx_0(k4_xcmplx_0(1), 6))=k7_xcmplx_0(k4_xcmplx_0(23), 6)).
fof(rqRealMult__k3_xcmplx_0__r28_r1_r28, axiom, k3_xcmplx_0(28, 1)=28).
fof(rqRealMult__k3_xcmplx_0__r28_r23_r644, axiom, k3_xcmplx_0(28, 23)=644).
fof(rqRealMult__k3_xcmplx_0__r29_r1_r29, axiom, k3_xcmplx_0(29, 1)=29).
fof(rqRealMult__k3_xcmplx_0__r29_r22_r638, axiom, k3_xcmplx_0(29, 22)=638).
fof(rqRealMult__k3_xcmplx_0__r29_r23_r667, axiom, k3_xcmplx_0(29, 23)=667).
fof(rqRealMult__k3_xcmplx_0__r638_r0_r0, axiom, k3_xcmplx_0(638, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r644_r1_r644, axiom, k3_xcmplx_0(644, 1)=644).
fof(rqRealMult__k3_xcmplx_0__r666_r1_r666, axiom, k3_xcmplx_0(666, 1)=666).
fof(rqRealMult__k3_xcmplx_0__r667_r1_r667, axiom, k3_xcmplx_0(667, 1)=667).
fof(rqRealMult__k3_xcmplx_0__r6_r0_r0, axiom, k3_xcmplx_0(6, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r6_r1_r6, axiom, k3_xcmplx_0(6, 1)=6).
fof(rqRealMult__k3_xcmplx_0__r6_rn1d6_r1, axiom, k3_xcmplx_0(6, k7_xcmplx_0(1, 6))=1).
fof(rqRealMult__k3_xcmplx_0__r6_rnm1d6_rm1, axiom, k3_xcmplx_0(6, k7_xcmplx_0(k4_xcmplx_0(1), 6))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm22_r1_rm22, axiom, k3_xcmplx_0(k4_xcmplx_0(22), 1)=k4_xcmplx_0(22)).
fof(rqRealMult__k3_xcmplx_0__rm23_r1_rm23, axiom, k3_xcmplx_0(k4_xcmplx_0(23), 1)=k4_xcmplx_0(23)).
fof(rqRealMult__k3_xcmplx_0__rm23_rm29_r667, axiom, k3_xcmplx_0(k4_xcmplx_0(23), k4_xcmplx_0(29))=667).
fof(rqRealMult__k3_xcmplx_0__rm28_r1_rm28, axiom, k3_xcmplx_0(k4_xcmplx_0(28), 1)=k4_xcmplx_0(28)).
fof(rqRealMult__k3_xcmplx_0__rm29_r1_rm29, axiom, k3_xcmplx_0(k4_xcmplx_0(29), 1)=k4_xcmplx_0(29)).
fof(rqRealMult__k3_xcmplx_0__rm6_r1_rm6, axiom, k3_xcmplx_0(k4_xcmplx_0(6), 1)=k4_xcmplx_0(6)).
fof(rqRealMult__k3_xcmplx_0__rm6_rn1d6_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(6), k7_xcmplx_0(1, 6))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm6_rnm1d6_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(6), k7_xcmplx_0(k4_xcmplx_0(1), 6))=1).
fof(rqRealMult__k3_xcmplx_0__rn1d28_r1_rn1d28, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 28), 1)=k7_xcmplx_0(1, 28)).
fof(rqRealMult__k3_xcmplx_0__rn1d29_r29_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 29), 29)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 6), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r1_rn1d6, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 6), 1)=k7_xcmplx_0(1, 6)).
fof(rqRealMult__k3_xcmplx_0__rn1d6_r6_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 6), 6)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d6_rm6_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 6), k4_xcmplx_0(6))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn29d6_r1_rn29d6, axiom, k3_xcmplx_0(k7_xcmplx_0(29, 6), 1)=k7_xcmplx_0(29, 6)).
fof(rqRealMult__k3_xcmplx_0__rnm1d22_r22_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 22), 22)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d22_rm22_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 22), k4_xcmplx_0(22))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d23_r667_rm29, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 23), 667)=k4_xcmplx_0(29)).
fof(rqRealMult__k3_xcmplx_0__rnm1d23_rm23_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 23), k4_xcmplx_0(23))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d29_rm29_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 29), k4_xcmplx_0(29))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_r1_rnm1d6, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_r6_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), 6)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d6_rm6_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6), k4_xcmplx_0(6))=1).
fof(rqRealMult__k3_xcmplx_0__rnm23d6_r1_rnm23d6, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23), 6), 1)=k7_xcmplx_0(k4_xcmplx_0(23), 6)).
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__r22_rm22, axiom, k4_xcmplx_0(22)=k4_xcmplx_0(22)).
fof(rqRealNeg__k4_xcmplx_0__r23_rm23, axiom, k4_xcmplx_0(23)=k4_xcmplx_0(23)).
fof(rqRealNeg__k4_xcmplx_0__r28_rm28, axiom, k4_xcmplx_0(28)=k4_xcmplx_0(28)).
fof(rqRealNeg__k4_xcmplx_0__r29_rm29, axiom, k4_xcmplx_0(29)=k4_xcmplx_0(29)).
fof(rqRealNeg__k4_xcmplx_0__r638_rm638, axiom, k4_xcmplx_0(638)=k4_xcmplx_0(638)).
fof(rqRealNeg__k4_xcmplx_0__r644_rm644, axiom, k4_xcmplx_0(644)=k4_xcmplx_0(644)).
fof(rqRealNeg__k4_xcmplx_0__r666_rm666, axiom, k4_xcmplx_0(666)=k4_xcmplx_0(666)).
fof(rqRealNeg__k4_xcmplx_0__r667_rm667, axiom, k4_xcmplx_0(667)=k4_xcmplx_0(667)).
fof(rqRealNeg__k4_xcmplx_0__r6_rm6, axiom, k4_xcmplx_0(6)=k4_xcmplx_0(6)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm22_r22, axiom, k4_xcmplx_0(k4_xcmplx_0(22))=22).
fof(rqRealNeg__k4_xcmplx_0__rm23_r23, axiom, k4_xcmplx_0(k4_xcmplx_0(23))=23).
fof(rqRealNeg__k4_xcmplx_0__rm28_r28, axiom, k4_xcmplx_0(k4_xcmplx_0(28))=28).
fof(rqRealNeg__k4_xcmplx_0__rm29_r29, axiom, k4_xcmplx_0(k4_xcmplx_0(29))=29).
fof(rqRealNeg__k4_xcmplx_0__rm638_r638, axiom, k4_xcmplx_0(k4_xcmplx_0(638))=638).
fof(rqRealNeg__k4_xcmplx_0__rm644_r644, axiom, k4_xcmplx_0(k4_xcmplx_0(644))=644).
fof(rqRealNeg__k4_xcmplx_0__rm666_r666, axiom, k4_xcmplx_0(k4_xcmplx_0(666))=666).
fof(rqRealNeg__k4_xcmplx_0__rm667_r667, axiom, k4_xcmplx_0(k4_xcmplx_0(667))=667).
fof(rqRealNeg__k4_xcmplx_0__rm6_r6, axiom, k4_xcmplx_0(k4_xcmplx_0(6))=6).
fof(rqRealNeg__k4_xcmplx_0__rn1d29_rnm1d29, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 29))=k7_xcmplx_0(k4_xcmplx_0(1), 29)).
fof(rqRealNeg__k4_xcmplx_0__rn1d6_rnm1d6, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 6))=k7_xcmplx_0(k4_xcmplx_0(1), 6)).
fof(rqRealNeg__k4_xcmplx_0__rn23d29_rnm23d29, axiom, k4_xcmplx_0(k7_xcmplx_0(23, 29))=k7_xcmplx_0(k4_xcmplx_0(23), 29)).
fof(rqRealNeg__k4_xcmplx_0__rn23d6_rnm23d6, axiom, k4_xcmplx_0(k7_xcmplx_0(23, 6))=k7_xcmplx_0(k4_xcmplx_0(23), 6)).
fof(rqRealNeg__k4_xcmplx_0__rn6d29_rnm6d29, axiom, k4_xcmplx_0(k7_xcmplx_0(6, 29))=k7_xcmplx_0(k4_xcmplx_0(6), 29)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d29_rn1d29, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 29))=k7_xcmplx_0(1, 29)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d6_rn1d6, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 6))=k7_xcmplx_0(1, 6)).
fof(rqRealNeg__k4_xcmplx_0__rnm23d29_rn23d29, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23), 29))=k7_xcmplx_0(23, 29)).
fof(rqRealNeg__k4_xcmplx_0__rnm23d6_rn23d6, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(23), 6))=k7_xcmplx_0(23, 6)).
fof(rqRealNeg__k4_xcmplx_0__rnm6d29_rn6d29, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(6), 29))=k7_xcmplx_0(6, 29)).
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(spc22_numerals, axiom,  (v2_xxreal_0(22) & m1_subset_1(22, k4_ordinal1)) ).
fof(spc23_numerals, axiom,  (v2_xxreal_0(23) & m1_subset_1(23, k4_ordinal1)) ).
fof(spc28_numerals, axiom,  (v2_xxreal_0(28) & m1_subset_1(28, k4_ordinal1)) ).
fof(spc29_numerals, axiom,  (v2_xxreal_0(29) & m1_subset_1(29, k4_ordinal1)) ).
fof(spc2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k4_xcmplx_0(1))=k4_xcmplx_0(A)) ) ).
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(spc638_numerals, axiom,  (v2_xxreal_0(638) & m1_subset_1(638, k4_ordinal1)) ).
fof(spc644_numerals, axiom,  (v2_xxreal_0(644) & m1_subset_1(644, k4_ordinal1)) ).
fof(spc666_numerals, axiom,  (v2_xxreal_0(666) & m1_subset_1(666, k4_ordinal1)) ).
fof(spc667_numerals, axiom,  (v2_xxreal_0(667) & m1_subset_1(667, k4_ordinal1)) ).
fof(spc6_numerals, axiom,  (v2_xxreal_0(6) & m1_subset_1(6, 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) ) ).
