% Mizar problem: t1369_xprimes0,xprimes0,9651,7 
fof(t1369_xprimes0, conjecture,  ~ (v1_int_2(1369)) ).
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_r1369_rm1369, axiom, k6_xcmplx_0(0, 1369)=k4_xcmplx_0(1369)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r36_rm36, axiom, k6_xcmplx_0(0, 36)=k4_xcmplx_0(36)).
fof(rqRealDiff__k6_xcmplx_0__r0_r37_rm37, axiom, k6_xcmplx_0(0, 37)=k4_xcmplx_0(37)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r1369_r1_r1368, axiom, k6_xcmplx_0(1369, 1)=1368).
fof(rqRealDiff__k6_xcmplx_0__r1369_r37_r1332, axiom, k6_xcmplx_0(1369, 37)=1332).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1369_rm1368, axiom, k6_xcmplx_0(1, 1369)=k4_xcmplx_0(1368)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r37_rm36, axiom, k6_xcmplx_0(1, 37)=k4_xcmplx_0(36)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm36_r37, axiom, k6_xcmplx_0(1, k4_xcmplx_0(36))=37).
fof(rqRealDiff__k6_xcmplx_0__r36_r0_r36, axiom, k6_xcmplx_0(36, 0)=36).
fof(rqRealDiff__k6_xcmplx_0__r36_r36_r0, axiom, k6_xcmplx_0(36, 36)=0).
fof(rqRealDiff__k6_xcmplx_0__r36_rm1_r37, axiom, k6_xcmplx_0(36, k4_xcmplx_0(1))=37).
fof(rqRealDiff__k6_xcmplx_0__r37_r0_r37, axiom, k6_xcmplx_0(37, 0)=37).
fof(rqRealDiff__k6_xcmplx_0__r37_r1369_rm1332, axiom, k6_xcmplx_0(37, 1369)=k4_xcmplx_0(1332)).
fof(rqRealDiff__k6_xcmplx_0__r37_r1_r36, axiom, k6_xcmplx_0(37, 1)=36).
fof(rqRealDiff__k6_xcmplx_0__r37_r36_r1, axiom, k6_xcmplx_0(37, 36)=1).
fof(rqRealDiff__k6_xcmplx_0__r37_r37_r0, axiom, k6_xcmplx_0(37, 37)=0).
fof(rqRealDiff__k6_xcmplx_0__rm1369_rm1_rm1368, axiom, k6_xcmplx_0(k4_xcmplx_0(1369), k4_xcmplx_0(1))=k4_xcmplx_0(1368)).
fof(rqRealDiff__k6_xcmplx_0__rm1369_rm37_rm1332, axiom, k6_xcmplx_0(k4_xcmplx_0(1369), k4_xcmplx_0(37))=k4_xcmplx_0(1332)).
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_r36_rm37, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 36)=k4_xcmplx_0(37)).
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_rm37_r36, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(37))=36).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d36_rnm37d36, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 36))=k7_xcmplx_0(k4_xcmplx_0(37), 36)).
fof(rqRealDiff__k6_xcmplx_0__rm36_r0_rm36, axiom, k6_xcmplx_0(k4_xcmplx_0(36), 0)=k4_xcmplx_0(36)).
fof(rqRealDiff__k6_xcmplx_0__rm36_r1_rm37, axiom, k6_xcmplx_0(k4_xcmplx_0(36), 1)=k4_xcmplx_0(37)).
fof(rqRealDiff__k6_xcmplx_0__rm36_rm36_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(36), k4_xcmplx_0(36))=0).
fof(rqRealDiff__k6_xcmplx_0__rm37_r0_rm37, axiom, k6_xcmplx_0(k4_xcmplx_0(37), 0)=k4_xcmplx_0(37)).
fof(rqRealDiff__k6_xcmplx_0__rm37_rm1_rm36, axiom, k6_xcmplx_0(k4_xcmplx_0(37), k4_xcmplx_0(1))=k4_xcmplx_0(36)).
fof(rqRealDiff__k6_xcmplx_0__rm37_rm36_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(37), k4_xcmplx_0(36))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm37_rm37_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(37), k4_xcmplx_0(37))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d36_rm1_rn37d36, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 36), k4_xcmplx_0(1))=k7_xcmplx_0(37, 36)).
fof(rqRealDiff__k6_xcmplx_0__rn1d36_rn1d36_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 36), k7_xcmplx_0(1, 36))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d36_rnm1d36_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 36), k7_xcmplx_0(k4_xcmplx_0(1), 36))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r36_rn1d36, axiom, k7_xcmplx_0(1, 36)=k7_xcmplx_0(1, 36)).
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_rm36_rnm1d36, axiom, k7_xcmplx_0(1, k4_xcmplx_0(36))=k7_xcmplx_0(k4_xcmplx_0(1), 36)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm37_rnm1d37, axiom, k7_xcmplx_0(1, k4_xcmplx_0(37))=k7_xcmplx_0(k4_xcmplx_0(1), 37)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d36_rm36, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 36))=k4_xcmplx_0(36)).
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__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_r36_r36, axiom, k3_xcmplx_0(1, 36)=36).
fof(rqRealMult__k3_xcmplx_0__r1_r37_r37, axiom, k3_xcmplx_0(1, 37)=37).
fof(rqRealMult__k3_xcmplx_0__r1_rm36_rm36, axiom, k3_xcmplx_0(1, k4_xcmplx_0(36))=k4_xcmplx_0(36)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d36_rn1d36, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 36))=k7_xcmplx_0(1, 36)).
fof(rqRealMult__k3_xcmplx_0__r36_r1_r36, axiom, k3_xcmplx_0(36, 1)=36).
fof(rqRealMult__k3_xcmplx_0__r36_rm37_rm1332, axiom, k3_xcmplx_0(36, k4_xcmplx_0(37))=k4_xcmplx_0(1332)).
fof(rqRealMult__k3_xcmplx_0__r36_rn1d36_r1, axiom, k3_xcmplx_0(36, k7_xcmplx_0(1, 36))=1).
fof(rqRealMult__k3_xcmplx_0__r36_rnm1d36_rm1, axiom, k3_xcmplx_0(36, k7_xcmplx_0(k4_xcmplx_0(1), 36))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r37_r1_r37, axiom, k3_xcmplx_0(37, 1)=37).
fof(rqRealMult__k3_xcmplx_0__r37_r37_r1369, axiom, k3_xcmplx_0(37, 37)=1369).
fof(rqRealMult__k3_xcmplx_0__rm36_r1_rm36, axiom, k3_xcmplx_0(k4_xcmplx_0(36), 1)=k4_xcmplx_0(36)).
fof(rqRealMult__k3_xcmplx_0__rm36_rn1d36_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(36), k7_xcmplx_0(1, 36))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm36_rnm1d36_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(36), k7_xcmplx_0(k4_xcmplx_0(1), 36))=1).
fof(rqRealMult__k3_xcmplx_0__rm37_r1_rm37, axiom, k3_xcmplx_0(k4_xcmplx_0(37), 1)=k4_xcmplx_0(37)).
fof(rqRealMult__k3_xcmplx_0__rm37_rm37_r1369, axiom, k3_xcmplx_0(k4_xcmplx_0(37), k4_xcmplx_0(37))=1369).
fof(rqRealMult__k3_xcmplx_0__rn1d36_r1_rn1d36, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 36), 1)=k7_xcmplx_0(1, 36)).
fof(rqRealMult__k3_xcmplx_0__rn1d36_r36_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 36), 36)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d36_rm36_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 36), k4_xcmplx_0(36))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d36_r1_rnm1d36, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 36), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 36)).
fof(rqRealMult__k3_xcmplx_0__rnm1d36_rm36_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 36), k4_xcmplx_0(36))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d37_r1369_rm37, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 37), 1369)=k4_xcmplx_0(37)).
fof(rqRealMult__k3_xcmplx_0__rnm1d37_rm37_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 37), k4_xcmplx_0(37))=1).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r1332_rm1332, axiom, k4_xcmplx_0(1332)=k4_xcmplx_0(1332)).
fof(rqRealNeg__k4_xcmplx_0__r1369_rm1369, axiom, k4_xcmplx_0(1369)=k4_xcmplx_0(1369)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r36_rm36, axiom, k4_xcmplx_0(36)=k4_xcmplx_0(36)).
fof(rqRealNeg__k4_xcmplx_0__r37_rm37, axiom, k4_xcmplx_0(37)=k4_xcmplx_0(37)).
fof(rqRealNeg__k4_xcmplx_0__rm1332_r1332, axiom, k4_xcmplx_0(k4_xcmplx_0(1332))=1332).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm36_r36, axiom, k4_xcmplx_0(k4_xcmplx_0(36))=36).
fof(rqRealNeg__k4_xcmplx_0__rm37_r37, axiom, k4_xcmplx_0(k4_xcmplx_0(37))=37).
fof(rqRealNeg__k4_xcmplx_0__rn1d36_rnm1d36, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 36))=k7_xcmplx_0(k4_xcmplx_0(1), 36)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d36_rn1d36, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 36))=k7_xcmplx_0(1, 36)).
fof(rqRealNeg__k4_xcmplx_0__rnm37d36_rn37d36, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(37), 36))=k7_xcmplx_0(37, 36)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc1332_numerals, axiom,  (v2_xxreal_0(1332) & m1_subset_1(1332, k4_ordinal1)) ).
fof(spc1368_numerals, axiom,  (v2_xxreal_0(1368) & m1_subset_1(1368, k4_ordinal1)) ).
fof(spc1369_numerals, axiom,  (v2_xxreal_0(1369) & m1_subset_1(1369, 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(spc36_numerals, axiom,  (v2_xxreal_0(36) & m1_subset_1(36, k4_ordinal1)) ).
fof(spc37_numerals, axiom,  (v2_xxreal_0(37) & m1_subset_1(37, 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(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) ) ).
