% Mizar problem: t841_xprimes0,xprimes0,5865,7 
fof(t841_xprimes0, conjecture,  ~ (v1_int_2(841)) ).
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_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_r812_rm812, axiom, k6_xcmplx_0(0, 812)=k4_xcmplx_0(812)).
fof(rqRealDiff__k6_xcmplx_0__r0_r840_rm840, axiom, k6_xcmplx_0(0, 840)=k4_xcmplx_0(840)).
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__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_r29_rm28, axiom, k6_xcmplx_0(1, 29)=k4_xcmplx_0(28)).
fof(rqRealDiff__k6_xcmplx_0__r1_r841_rm840, axiom, k6_xcmplx_0(1, 841)=k4_xcmplx_0(840)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm840_r841, axiom, k6_xcmplx_0(1, k4_xcmplx_0(840))=841).
fof(rqRealDiff__k6_xcmplx_0__r28_r0_r28, axiom, k6_xcmplx_0(28, 0)=28).
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_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_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_r841_rm812, axiom, k6_xcmplx_0(29, 841)=k4_xcmplx_0(812)).
fof(rqRealDiff__k6_xcmplx_0__r812_r0_r812, axiom, k6_xcmplx_0(812, 0)=812).
fof(rqRealDiff__k6_xcmplx_0__r840_r0_r840, axiom, k6_xcmplx_0(840, 0)=840).
fof(rqRealDiff__k6_xcmplx_0__r840_r840_r0, axiom, k6_xcmplx_0(840, 840)=0).
fof(rqRealDiff__k6_xcmplx_0__r841_r0_r841, axiom, k6_xcmplx_0(841, 0)=841).
fof(rqRealDiff__k6_xcmplx_0__r841_r1_r840, axiom, k6_xcmplx_0(841, 1)=840).
fof(rqRealDiff__k6_xcmplx_0__r841_r29_r812, axiom, k6_xcmplx_0(841, 29)=812).
fof(rqRealDiff__k6_xcmplx_0__r841_r840_r1, axiom, k6_xcmplx_0(841, 840)=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_r28_rm29, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 28)=k4_xcmplx_0(29)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r840_rm841, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 840)=k4_xcmplx_0(841)).
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_rm29_r28, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(29))=28).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm841_r840, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(841))=840).
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_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_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__rm812_rm812_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(812), k4_xcmplx_0(812))=0).
fof(rqRealDiff__k6_xcmplx_0__rm840_rm840_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(840), k4_xcmplx_0(840))=0).
fof(rqRealDiff__k6_xcmplx_0__rm841_rm1_rm840, axiom, k6_xcmplx_0(k4_xcmplx_0(841), k4_xcmplx_0(1))=k4_xcmplx_0(840)).
fof(rqRealDiff__k6_xcmplx_0__rm841_rm29_rm812, axiom, k6_xcmplx_0(k4_xcmplx_0(841), k4_xcmplx_0(29))=k4_xcmplx_0(812)).
fof(rqRealDiff__k6_xcmplx_0__rm841_rm841_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(841), k4_xcmplx_0(841))=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_rm1_rm1, axiom, k7_xcmplx_0(1, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
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__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_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_r812_r812, axiom, k3_xcmplx_0(1, 812)=812).
fof(rqRealMult__k3_xcmplx_0__r1_r840_r840, axiom, k3_xcmplx_0(1, 840)=840).
fof(rqRealMult__k3_xcmplx_0__r1_r841_r841, axiom, k3_xcmplx_0(1, 841)=841).
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_rn1d28_rn1d28, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 28))=k7_xcmplx_0(1, 28)).
fof(rqRealMult__k3_xcmplx_0__r28_r1_r28, axiom, k3_xcmplx_0(28, 1)=28).
fof(rqRealMult__k3_xcmplx_0__r28_r29_r812, axiom, k3_xcmplx_0(28, 29)=812).
fof(rqRealMult__k3_xcmplx_0__r28_rm29_rm812, axiom, k3_xcmplx_0(28, k4_xcmplx_0(29))=k4_xcmplx_0(812)).
fof(rqRealMult__k3_xcmplx_0__r29_r1_r29, axiom, k3_xcmplx_0(29, 1)=29).
fof(rqRealMult__k3_xcmplx_0__r29_r28_r812, axiom, k3_xcmplx_0(29, 28)=812).
fof(rqRealMult__k3_xcmplx_0__r29_r29_r841, axiom, k3_xcmplx_0(29, 29)=841).
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__rm29_rm29_r841, axiom, k3_xcmplx_0(k4_xcmplx_0(29), k4_xcmplx_0(29))=841).
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__rnm1d29_r841_rm29, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 29), 841)=k4_xcmplx_0(29)).
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(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__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__r812_rm812, axiom, k4_xcmplx_0(812)=k4_xcmplx_0(812)).
fof(rqRealNeg__k4_xcmplx_0__r840_rm840, axiom, k4_xcmplx_0(840)=k4_xcmplx_0(840)).
fof(rqRealNeg__k4_xcmplx_0__r841_rm841, axiom, k4_xcmplx_0(841)=k4_xcmplx_0(841)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
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__rm812_r812, axiom, k4_xcmplx_0(k4_xcmplx_0(812))=812).
fof(rqRealNeg__k4_xcmplx_0__rm840_r840, axiom, k4_xcmplx_0(k4_xcmplx_0(840))=840).
fof(rqRealNeg__k4_xcmplx_0__rm841_r841, axiom, k4_xcmplx_0(k4_xcmplx_0(841))=841).
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__rnm1d29_rn1d29, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 29))=k7_xcmplx_0(1, 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(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(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(spc812_numerals, axiom,  (v2_xxreal_0(812) & m1_subset_1(812, k4_ordinal1)) ).
fof(spc840_numerals, axiom,  (v2_xxreal_0(840) & m1_subset_1(840, k4_ordinal1)) ).
fof(spc841_numerals, axiom,  (v2_xxreal_0(841) & m1_subset_1(841, k4_ordinal1)) ).
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) ) ).
