% Mizar problem: t1849_xprimes0,xprimes0,13107,7 
fof(t1849_xprimes0, conjecture,  ~ (v1_int_2(1849)) ).
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_r42_rm42, axiom, k6_xcmplx_0(0, 42)=k4_xcmplx_0(42)).
fof(rqRealDiff__k6_xcmplx_0__r0_r43_rm43, axiom, k6_xcmplx_0(0, 43)=k4_xcmplx_0(43)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r1849_r1_r1848, axiom, k6_xcmplx_0(1849, 1)=1848).
fof(rqRealDiff__k6_xcmplx_0__r1849_r43_r1806, axiom, k6_xcmplx_0(1849, 43)=1806).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1849_rm1848, axiom, k6_xcmplx_0(1, 1849)=k4_xcmplx_0(1848)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r43_rm42, axiom, k6_xcmplx_0(1, 43)=k4_xcmplx_0(42)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm42_r43, axiom, k6_xcmplx_0(1, k4_xcmplx_0(42))=43).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d43_rn42d43, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 43))=k7_xcmplx_0(42, 43)).
fof(rqRealDiff__k6_xcmplx_0__r42_r0_r42, axiom, k6_xcmplx_0(42, 0)=42).
fof(rqRealDiff__k6_xcmplx_0__r42_r42_r0, axiom, k6_xcmplx_0(42, 42)=0).
fof(rqRealDiff__k6_xcmplx_0__r42_r43_rm1, axiom, k6_xcmplx_0(42, 43)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r42_rm1_r43, axiom, k6_xcmplx_0(42, k4_xcmplx_0(1))=43).
fof(rqRealDiff__k6_xcmplx_0__r42_rnm42d43_rn1848d43, axiom, k6_xcmplx_0(42, k7_xcmplx_0(k4_xcmplx_0(42), 43))=k7_xcmplx_0(1848, 43)).
fof(rqRealDiff__k6_xcmplx_0__r43_r0_r43, axiom, k6_xcmplx_0(43, 0)=43).
fof(rqRealDiff__k6_xcmplx_0__r43_r1849_rm1806, axiom, k6_xcmplx_0(43, 1849)=k4_xcmplx_0(1806)).
fof(rqRealDiff__k6_xcmplx_0__r43_r1_r42, axiom, k6_xcmplx_0(43, 1)=42).
fof(rqRealDiff__k6_xcmplx_0__r43_r42_r1, axiom, k6_xcmplx_0(43, 42)=1).
fof(rqRealDiff__k6_xcmplx_0__r43_r43_r0, axiom, k6_xcmplx_0(43, 43)=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_r42_rm43, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 42)=k4_xcmplx_0(43)).
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_rm43_r42, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(43))=42).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d43_rnm42d43, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 43))=k7_xcmplx_0(k4_xcmplx_0(42), 43)).
fof(rqRealDiff__k6_xcmplx_0__rm42_r0_rm42, axiom, k6_xcmplx_0(k4_xcmplx_0(42), 0)=k4_xcmplx_0(42)).
fof(rqRealDiff__k6_xcmplx_0__rm42_r1_rm43, axiom, k6_xcmplx_0(k4_xcmplx_0(42), 1)=k4_xcmplx_0(43)).
fof(rqRealDiff__k6_xcmplx_0__rm42_rm42_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(42), k4_xcmplx_0(42))=0).
fof(rqRealDiff__k6_xcmplx_0__rm43_r0_rm43, axiom, k6_xcmplx_0(k4_xcmplx_0(43), 0)=k4_xcmplx_0(43)).
fof(rqRealDiff__k6_xcmplx_0__rm43_rm1_rm42, axiom, k6_xcmplx_0(k4_xcmplx_0(43), k4_xcmplx_0(1))=k4_xcmplx_0(42)).
fof(rqRealDiff__k6_xcmplx_0__rm43_rm42_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(43), k4_xcmplx_0(42))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm43_rm43_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(43), k4_xcmplx_0(43))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d42_rn1d42_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 42), k7_xcmplx_0(1, 42))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r42_rn1d42, axiom, k7_xcmplx_0(1, 42)=k7_xcmplx_0(1, 42)).
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_rm43_rnm1d43, axiom, k7_xcmplx_0(1, k4_xcmplx_0(43))=k7_xcmplx_0(k4_xcmplx_0(1), 43)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d42_r42, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 42))=42).
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_rn1d42_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 42))=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_r42_r42, axiom, k3_xcmplx_0(1, 42)=42).
fof(rqRealMult__k3_xcmplx_0__r1_r43_r43, axiom, k3_xcmplx_0(1, 43)=43).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d42_rn1d42, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 42))=k7_xcmplx_0(1, 42)).
fof(rqRealMult__k3_xcmplx_0__r42_r1_r42, axiom, k3_xcmplx_0(42, 1)=42).
fof(rqRealMult__k3_xcmplx_0__r42_rm43_rm1806, axiom, k3_xcmplx_0(42, k4_xcmplx_0(43))=k4_xcmplx_0(1806)).
fof(rqRealMult__k3_xcmplx_0__r42_rn1d42_r1, axiom, k3_xcmplx_0(42, k7_xcmplx_0(1, 42))=1).
fof(rqRealMult__k3_xcmplx_0__r42_rn1d43_rn42d43, axiom, k3_xcmplx_0(42, k7_xcmplx_0(1, 43))=k7_xcmplx_0(42, 43)).
fof(rqRealMult__k3_xcmplx_0__r42_rnm1d43_rnm42d43, axiom, k3_xcmplx_0(42, k7_xcmplx_0(k4_xcmplx_0(1), 43))=k7_xcmplx_0(k4_xcmplx_0(42), 43)).
fof(rqRealMult__k3_xcmplx_0__r43_r1_r43, axiom, k3_xcmplx_0(43, 1)=43).
fof(rqRealMult__k3_xcmplx_0__r43_r43_r1849, axiom, k3_xcmplx_0(43, 43)=1849).
fof(rqRealMult__k3_xcmplx_0__r43_rn1d43_r1, axiom, k3_xcmplx_0(43, k7_xcmplx_0(1, 43))=1).
fof(rqRealMult__k3_xcmplx_0__r43_rn42d43_r42, axiom, k3_xcmplx_0(43, k7_xcmplx_0(42, 43))=42).
fof(rqRealMult__k3_xcmplx_0__r43_rnm1d43_rm1, axiom, k3_xcmplx_0(43, k7_xcmplx_0(k4_xcmplx_0(1), 43))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm42_r1_rm42, axiom, k3_xcmplx_0(k4_xcmplx_0(42), 1)=k4_xcmplx_0(42)).
fof(rqRealMult__k3_xcmplx_0__rm43_r1_rm43, axiom, k3_xcmplx_0(k4_xcmplx_0(43), 1)=k4_xcmplx_0(43)).
fof(rqRealMult__k3_xcmplx_0__rm43_rm43_r1849, axiom, k3_xcmplx_0(k4_xcmplx_0(43), k4_xcmplx_0(43))=1849).
fof(rqRealMult__k3_xcmplx_0__rm43_rn1d43_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(43), k7_xcmplx_0(1, 43))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm43_rn42d43_rm42, axiom, k3_xcmplx_0(k4_xcmplx_0(43), k7_xcmplx_0(42, 43))=k4_xcmplx_0(42)).
fof(rqRealMult__k3_xcmplx_0__rm43_rnm1d43_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(43), k7_xcmplx_0(k4_xcmplx_0(1), 43))=1).
fof(rqRealMult__k3_xcmplx_0__rn1d42_r1_rn1d42, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 42), 1)=k7_xcmplx_0(1, 42)).
fof(rqRealMult__k3_xcmplx_0__rn1d42_r42_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 42), 42)=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d42_r1_rnm1d42, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 42), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 42)).
fof(rqRealMult__k3_xcmplx_0__rnm1d43_r1849_rm43, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 43), 1849)=k4_xcmplx_0(43)).
fof(rqRealMult__k3_xcmplx_0__rnm1d43_r1_rnm1d43, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 43), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 43)).
fof(rqRealMult__k3_xcmplx_0__rnm1d43_r43_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 43), 43)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d43_rm42_rn42d43, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 43), k4_xcmplx_0(42))=k7_xcmplx_0(42, 43)).
fof(rqRealMult__k3_xcmplx_0__rnm1d43_rm43_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 43), k4_xcmplx_0(43))=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__r42_rm42, axiom, k4_xcmplx_0(42)=k4_xcmplx_0(42)).
fof(rqRealNeg__k4_xcmplx_0__r43_rm43, axiom, k4_xcmplx_0(43)=k4_xcmplx_0(43)).
fof(rqRealNeg__k4_xcmplx_0__rm1806_r1806, axiom, k4_xcmplx_0(k4_xcmplx_0(1806))=1806).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm42_r42, axiom, k4_xcmplx_0(k4_xcmplx_0(42))=42).
fof(rqRealNeg__k4_xcmplx_0__rm43_r43, axiom, k4_xcmplx_0(k4_xcmplx_0(43))=43).
fof(rqRealNeg__k4_xcmplx_0__rn1d42_rnm1d42, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 42))=k7_xcmplx_0(k4_xcmplx_0(1), 42)).
fof(rqRealNeg__k4_xcmplx_0__rn1d43_rnm1d43, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 43))=k7_xcmplx_0(k4_xcmplx_0(1), 43)).
fof(rqRealNeg__k4_xcmplx_0__rn42d43_rnm42d43, axiom, k4_xcmplx_0(k7_xcmplx_0(42, 43))=k7_xcmplx_0(k4_xcmplx_0(42), 43)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d42_rn1d42, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 42))=k7_xcmplx_0(1, 42)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d43_rn1d43, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 43))=k7_xcmplx_0(1, 43)).
fof(rqRealNeg__k4_xcmplx_0__rnm42d43_rn42d43, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(42), 43))=k7_xcmplx_0(42, 43)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc1806_numerals, axiom,  (v2_xxreal_0(1806) & m1_subset_1(1806, k4_ordinal1)) ).
fof(spc1848_numerals, axiom,  (v2_xxreal_0(1848) & m1_subset_1(1848, k4_ordinal1)) ).
fof(spc1849_numerals, axiom,  (v2_xxreal_0(1849) & m1_subset_1(1849, 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(spc42_numerals, axiom,  (v2_xxreal_0(42) & m1_subset_1(42, k4_ordinal1)) ).
fof(spc43_numerals, axiom,  (v2_xxreal_0(43) & m1_subset_1(43, 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) ) ).
