% Mizar problem: t529_xprimes0,xprimes0,3651,7 
fof(t529_xprimes0, conjecture,  ~ (v1_int_2(529)) ).
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_r506_rm506, axiom, k6_xcmplx_0(0, 506)=k4_xcmplx_0(506)).
fof(rqRealDiff__k6_xcmplx_0__r0_r528_rm528, axiom, k6_xcmplx_0(0, 528)=k4_xcmplx_0(528)).
fof(rqRealDiff__k6_xcmplx_0__r0_r529_rm529, axiom, k6_xcmplx_0(0, 529)=k4_xcmplx_0(529)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
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_r529_rm528, axiom, k6_xcmplx_0(1, 529)=k4_xcmplx_0(528)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm22_r23, axiom, k6_xcmplx_0(1, k4_xcmplx_0(22))=23).
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_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_r529_rm506, axiom, k6_xcmplx_0(23, 529)=k4_xcmplx_0(506)).
fof(rqRealDiff__k6_xcmplx_0__r506_r0_r506, axiom, k6_xcmplx_0(506, 0)=506).
fof(rqRealDiff__k6_xcmplx_0__r528_r0_r528, axiom, k6_xcmplx_0(528, 0)=528).
fof(rqRealDiff__k6_xcmplx_0__r529_r0_r529, axiom, k6_xcmplx_0(529, 0)=529).
fof(rqRealDiff__k6_xcmplx_0__r529_r1_r528, axiom, k6_xcmplx_0(529, 1)=528).
fof(rqRealDiff__k6_xcmplx_0__r529_r23_r506, axiom, k6_xcmplx_0(529, 23)=506).
fof(rqRealDiff__k6_xcmplx_0__r529_r528_r1, axiom, k6_xcmplx_0(529, 528)=1).
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_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_rm529_r528, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(529))=528).
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_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_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__rm23_rm529_r506, axiom, k6_xcmplx_0(k4_xcmplx_0(23), k4_xcmplx_0(529))=506).
fof(rqRealDiff__k6_xcmplx_0__rm506_r0_rm506, axiom, k6_xcmplx_0(k4_xcmplx_0(506), 0)=k4_xcmplx_0(506)).
fof(rqRealDiff__k6_xcmplx_0__rm506_rm506_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(506), k4_xcmplx_0(506))=0).
fof(rqRealDiff__k6_xcmplx_0__rm528_r0_rm528, axiom, k6_xcmplx_0(k4_xcmplx_0(528), 0)=k4_xcmplx_0(528)).
fof(rqRealDiff__k6_xcmplx_0__rm528_r1_rm529, axiom, k6_xcmplx_0(k4_xcmplx_0(528), 1)=k4_xcmplx_0(529)).
fof(rqRealDiff__k6_xcmplx_0__rm528_rm528_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(528), k4_xcmplx_0(528))=0).
fof(rqRealDiff__k6_xcmplx_0__rm529_r0_rm529, axiom, k6_xcmplx_0(k4_xcmplx_0(529), 0)=k4_xcmplx_0(529)).
fof(rqRealDiff__k6_xcmplx_0__rm529_rm1_rm528, axiom, k6_xcmplx_0(k4_xcmplx_0(529), k4_xcmplx_0(1))=k4_xcmplx_0(528)).
fof(rqRealDiff__k6_xcmplx_0__rm529_rm23_rm506, axiom, k6_xcmplx_0(k4_xcmplx_0(529), k4_xcmplx_0(23))=k4_xcmplx_0(506)).
fof(rqRealDiff__k6_xcmplx_0__rm529_rm528_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(529), k4_xcmplx_0(528))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm529_rm529_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(529), k4_xcmplx_0(529))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
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__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_r506_r0, axiom, k3_xcmplx_0(0, 506)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r528_r0, axiom, k3_xcmplx_0(0, 528)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r529_r0, axiom, k3_xcmplx_0(0, 529)=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_r506_r506, axiom, k3_xcmplx_0(1, 506)=506).
fof(rqRealMult__k3_xcmplx_0__r1_r528_r528, axiom, k3_xcmplx_0(1, 528)=528).
fof(rqRealMult__k3_xcmplx_0__r1_r529_r529, axiom, k3_xcmplx_0(1, 529)=529).
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_r23_r506, axiom, k3_xcmplx_0(22, 23)=506).
fof(rqRealMult__k3_xcmplx_0__r22_rm23_rm506, axiom, k3_xcmplx_0(22, k4_xcmplx_0(23))=k4_xcmplx_0(506)).
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_r22_r506, axiom, k3_xcmplx_0(23, 22)=506).
fof(rqRealMult__k3_xcmplx_0__r23_r23_r529, axiom, k3_xcmplx_0(23, 23)=529).
fof(rqRealMult__k3_xcmplx_0__r506_r0_r0, axiom, k3_xcmplx_0(506, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r528_r0_r0, axiom, k3_xcmplx_0(528, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r529_r0_r0, axiom, k3_xcmplx_0(529, 0)=0).
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_rm23_r529, axiom, k3_xcmplx_0(k4_xcmplx_0(23), k4_xcmplx_0(23))=529).
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_r529_rm23, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 23), 529)=k4_xcmplx_0(23)).
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(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__r506_rm506, axiom, k4_xcmplx_0(506)=k4_xcmplx_0(506)).
fof(rqRealNeg__k4_xcmplx_0__r528_rm528, axiom, k4_xcmplx_0(528)=k4_xcmplx_0(528)).
fof(rqRealNeg__k4_xcmplx_0__r529_rm529, axiom, k4_xcmplx_0(529)=k4_xcmplx_0(529)).
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__rm506_r506, axiom, k4_xcmplx_0(k4_xcmplx_0(506))=506).
fof(rqRealNeg__k4_xcmplx_0__rm528_r528, axiom, k4_xcmplx_0(k4_xcmplx_0(528))=528).
fof(rqRealNeg__k4_xcmplx_0__rm529_r529, axiom, k4_xcmplx_0(k4_xcmplx_0(529))=529).
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(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(spc506_numerals, axiom,  (v2_xxreal_0(506) & m1_subset_1(506, k4_ordinal1)) ).
fof(spc528_numerals, axiom,  (v2_xxreal_0(528) & m1_subset_1(528, k4_ordinal1)) ).
fof(spc529_numerals, axiom,  (v2_xxreal_0(529) & m1_subset_1(529, 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) ) ).
