% Mizar problem: t1189_xprimes0,xprimes0,8355,7 
fof(t1189_xprimes0, conjecture,  ~ (v1_int_2(1189)) ).
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_r12_rm12, axiom, k6_xcmplx_0(0, 12)=k4_xcmplx_0(12)).
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_r40_rm40, axiom, k6_xcmplx_0(0, 40)=k4_xcmplx_0(40)).
fof(rqRealDiff__k6_xcmplx_0__r0_r41_rm41, axiom, k6_xcmplx_0(0, 41)=k4_xcmplx_0(41)).
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_rn1d12_rnm1d12, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 12))=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
fof(rqRealDiff__k6_xcmplx_0__r1189_r1_r1188, axiom, k6_xcmplx_0(1189, 1)=1188).
fof(rqRealDiff__k6_xcmplx_0__r1189_r29_r1160, axiom, k6_xcmplx_0(1189, 29)=1160).
fof(rqRealDiff__k6_xcmplx_0__r1189_r41_r1148, axiom, k6_xcmplx_0(1189, 41)=1148).
fof(rqRealDiff__k6_xcmplx_0__r12_r0_r12, axiom, k6_xcmplx_0(12, 0)=12).
fof(rqRealDiff__k6_xcmplx_0__r12_r12_r0, axiom, k6_xcmplx_0(12, 12)=0).
fof(rqRealDiff__k6_xcmplx_0__r12_r40_rm28, axiom, k6_xcmplx_0(12, 40)=k4_xcmplx_0(28)).
fof(rqRealDiff__k6_xcmplx_0__r12_r41_rm29, axiom, k6_xcmplx_0(12, 41)=k4_xcmplx_0(29)).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1189_rm1188, axiom, k6_xcmplx_0(1, 1189)=k4_xcmplx_0(1188)).
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_r41_rm40, axiom, k6_xcmplx_0(1, 41)=k4_xcmplx_0(40)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm40_r41, axiom, k6_xcmplx_0(1, k4_xcmplx_0(40))=41).
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_r40_rm12, axiom, k6_xcmplx_0(28, 40)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r28_rm12_r40, axiom, k6_xcmplx_0(28, k4_xcmplx_0(12))=40).
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_r1189_rm1160, axiom, k6_xcmplx_0(29, 1189)=k4_xcmplx_0(1160)).
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_r41_rm12, axiom, k6_xcmplx_0(29, 41)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r40_r0_r40, axiom, k6_xcmplx_0(40, 0)=40).
fof(rqRealDiff__k6_xcmplx_0__r40_r12_r28, axiom, k6_xcmplx_0(40, 12)=28).
fof(rqRealDiff__k6_xcmplx_0__r40_r28_r12, axiom, k6_xcmplx_0(40, 28)=12).
fof(rqRealDiff__k6_xcmplx_0__r40_r40_r0, axiom, k6_xcmplx_0(40, 40)=0).
fof(rqRealDiff__k6_xcmplx_0__r40_rm1_r41, axiom, k6_xcmplx_0(40, k4_xcmplx_0(1))=41).
fof(rqRealDiff__k6_xcmplx_0__r41_r0_r41, axiom, k6_xcmplx_0(41, 0)=41).
fof(rqRealDiff__k6_xcmplx_0__r41_r12_r29, axiom, k6_xcmplx_0(41, 12)=29).
fof(rqRealDiff__k6_xcmplx_0__r41_r1_r40, axiom, k6_xcmplx_0(41, 1)=40).
fof(rqRealDiff__k6_xcmplx_0__r41_r29_r12, axiom, k6_xcmplx_0(41, 29)=12).
fof(rqRealDiff__k6_xcmplx_0__r41_r40_r1, axiom, k6_xcmplx_0(41, 40)=1).
fof(rqRealDiff__k6_xcmplx_0__r41_r41_r0, axiom, k6_xcmplx_0(41, 41)=0).
fof(rqRealDiff__k6_xcmplx_0__rm12_r0_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 0)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm12_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(12))=0).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm40_r28, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(40))=28).
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_r40_rm41, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 40)=k4_xcmplx_0(41)).
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_rm41_r40, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(41))=40).
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__rm28_rm40_r12, axiom, k6_xcmplx_0(k4_xcmplx_0(28), k4_xcmplx_0(40))=12).
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__rm29_rm41_r12, axiom, k6_xcmplx_0(k4_xcmplx_0(29), k4_xcmplx_0(41))=12).
fof(rqRealDiff__k6_xcmplx_0__rm40_r0_rm40, axiom, k6_xcmplx_0(k4_xcmplx_0(40), 0)=k4_xcmplx_0(40)).
fof(rqRealDiff__k6_xcmplx_0__rm40_r1_rm41, axiom, k6_xcmplx_0(k4_xcmplx_0(40), 1)=k4_xcmplx_0(41)).
fof(rqRealDiff__k6_xcmplx_0__rm40_rm12_rm28, axiom, k6_xcmplx_0(k4_xcmplx_0(40), k4_xcmplx_0(12))=k4_xcmplx_0(28)).
fof(rqRealDiff__k6_xcmplx_0__rm40_rm28_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(40), k4_xcmplx_0(28))=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm40_rm40_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(40), k4_xcmplx_0(40))=0).
fof(rqRealDiff__k6_xcmplx_0__rm41_r0_rm41, axiom, k6_xcmplx_0(k4_xcmplx_0(41), 0)=k4_xcmplx_0(41)).
fof(rqRealDiff__k6_xcmplx_0__rm41_rm12_rm29, axiom, k6_xcmplx_0(k4_xcmplx_0(41), k4_xcmplx_0(12))=k4_xcmplx_0(29)).
fof(rqRealDiff__k6_xcmplx_0__rm41_rm1_rm40, axiom, k6_xcmplx_0(k4_xcmplx_0(41), k4_xcmplx_0(1))=k4_xcmplx_0(40)).
fof(rqRealDiff__k6_xcmplx_0__rm41_rm29_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(41), k4_xcmplx_0(29))=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm41_rm40_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(41), k4_xcmplx_0(40))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm41_rm41_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(41), k4_xcmplx_0(41))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_r0_rn1d12, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 12), 0)=k7_xcmplx_0(1, 12)).
fof(rqRealDiff__k6_xcmplx_0__rn1d12_rn1d12_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 12), k7_xcmplx_0(1, 12))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d12_rnm1d12_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), k7_xcmplx_0(k4_xcmplx_0(1), 12))=0).
fof(rqRealDiv__k7_xcmplx_0__r12_r12_r1, axiom, k7_xcmplx_0(12, 12)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r12_rn1d12, axiom, k7_xcmplx_0(1, 12)=k7_xcmplx_0(1, 12)).
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_r41_rn1d41, axiom, k7_xcmplx_0(1, 41)=k7_xcmplx_0(1, 41)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm12_rnm1d12, axiom, k7_xcmplx_0(1, k4_xcmplx_0(12))=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
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__r1_rm41_rnm1d41, axiom, k7_xcmplx_0(1, k4_xcmplx_0(41))=k7_xcmplx_0(k4_xcmplx_0(1), 41)).
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_r12_r0, axiom, k3_xcmplx_0(0, 12)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d12_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 12))=0).
fof(rqRealMult__k3_xcmplx_0__r12_r0_r0, axiom, k3_xcmplx_0(12, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r12_r1_r12, axiom, k3_xcmplx_0(12, 1)=12).
fof(rqRealMult__k3_xcmplx_0__r12_rn1d12_r1, axiom, k3_xcmplx_0(12, k7_xcmplx_0(1, 12))=1).
fof(rqRealMult__k3_xcmplx_0__r12_rnm1d12_rm1, axiom, k3_xcmplx_0(12, k7_xcmplx_0(k4_xcmplx_0(1), 12))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r12_r12, axiom, k3_xcmplx_0(1, 12)=12).
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_r40_r40, axiom, k3_xcmplx_0(1, 40)=40).
fof(rqRealMult__k3_xcmplx_0__r1_r41_r41, axiom, k3_xcmplx_0(1, 41)=41).
fof(rqRealMult__k3_xcmplx_0__r1_rm12_rm12, axiom, k3_xcmplx_0(1, k4_xcmplx_0(12))=k4_xcmplx_0(12)).
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_rm40_rm40, axiom, k3_xcmplx_0(1, k4_xcmplx_0(40))=k4_xcmplx_0(40)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d12_rn1d12, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 12))=k7_xcmplx_0(1, 12)).
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_rm41_rm1148, axiom, k3_xcmplx_0(28, k4_xcmplx_0(41))=k4_xcmplx_0(1148)).
fof(rqRealMult__k3_xcmplx_0__r29_r1_r29, axiom, k3_xcmplx_0(29, 1)=29).
fof(rqRealMult__k3_xcmplx_0__r29_r40_r1160, axiom, k3_xcmplx_0(29, 40)=1160).
fof(rqRealMult__k3_xcmplx_0__r29_r41_r1189, axiom, k3_xcmplx_0(29, 41)=1189).
fof(rqRealMult__k3_xcmplx_0__r40_r1_r40, axiom, k3_xcmplx_0(40, 1)=40).
fof(rqRealMult__k3_xcmplx_0__r40_r29_r1160, axiom, k3_xcmplx_0(40, 29)=1160).
fof(rqRealMult__k3_xcmplx_0__r41_r1_r41, axiom, k3_xcmplx_0(41, 1)=41).
fof(rqRealMult__k3_xcmplx_0__r41_r29_r1189, axiom, k3_xcmplx_0(41, 29)=1189).
fof(rqRealMult__k3_xcmplx_0__rm12_r1_rm12, axiom, k3_xcmplx_0(k4_xcmplx_0(12), 1)=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__rm12_rn1d12_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(12), k7_xcmplx_0(1, 12))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm12_rnm1d12_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(12), k7_xcmplx_0(k4_xcmplx_0(1), 12))=1).
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_rm41_r1189, axiom, k3_xcmplx_0(k4_xcmplx_0(29), k4_xcmplx_0(41))=1189).
fof(rqRealMult__k3_xcmplx_0__rm40_r1_rm40, axiom, k3_xcmplx_0(k4_xcmplx_0(40), 1)=k4_xcmplx_0(40)).
fof(rqRealMult__k3_xcmplx_0__rm41_r1_rm41, axiom, k3_xcmplx_0(k4_xcmplx_0(41), 1)=k4_xcmplx_0(41)).
fof(rqRealMult__k3_xcmplx_0__rn1d12_r12_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 12), 12)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d12_r1_rn1d12, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 12), 1)=k7_xcmplx_0(1, 12)).
fof(rqRealMult__k3_xcmplx_0__rn1d12_rm12_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 12), k4_xcmplx_0(12))=k4_xcmplx_0(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__rn1d41_r41_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 41), 41)=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_r12_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), 12)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_r1_rnm1d12, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
fof(rqRealMult__k3_xcmplx_0__rnm1d12_rm12_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), k4_xcmplx_0(12))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d29_r1189_rm41, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 29), 1189)=k4_xcmplx_0(41)).
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__rnm1d41_rm41_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 41), k4_xcmplx_0(41))=1).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r12_rm12, axiom, k4_xcmplx_0(12)=k4_xcmplx_0(12)).
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__r40_rm40, axiom, k4_xcmplx_0(40)=k4_xcmplx_0(40)).
fof(rqRealNeg__k4_xcmplx_0__r41_rm41, axiom, k4_xcmplx_0(41)=k4_xcmplx_0(41)).
fof(rqRealNeg__k4_xcmplx_0__rm1148_r1148, axiom, k4_xcmplx_0(k4_xcmplx_0(1148))=1148).
fof(rqRealNeg__k4_xcmplx_0__rm12_r12, axiom, k4_xcmplx_0(k4_xcmplx_0(12))=12).
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__rm40_r40, axiom, k4_xcmplx_0(k4_xcmplx_0(40))=40).
fof(rqRealNeg__k4_xcmplx_0__rm41_r41, axiom, k4_xcmplx_0(k4_xcmplx_0(41))=41).
fof(rqRealNeg__k4_xcmplx_0__rn12d29_rnm12d29, axiom, k4_xcmplx_0(k7_xcmplx_0(12, 29))=k7_xcmplx_0(k4_xcmplx_0(12), 29)).
fof(rqRealNeg__k4_xcmplx_0__rn1d12_rnm1d12, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 12))=k7_xcmplx_0(k4_xcmplx_0(1), 12)).
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__rn41d28_rnm41d28, axiom, k4_xcmplx_0(k7_xcmplx_0(41, 28))=k7_xcmplx_0(k4_xcmplx_0(41), 28)).
fof(rqRealNeg__k4_xcmplx_0__rnm12d29_rn12d29, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(12), 29))=k7_xcmplx_0(12, 29)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d12_rn1d12, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12))=k7_xcmplx_0(1, 12)).
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(spc1148_numerals, axiom,  (v2_xxreal_0(1148) & m1_subset_1(1148, k4_ordinal1)) ).
fof(spc1160_numerals, axiom,  (v2_xxreal_0(1160) & m1_subset_1(1160, k4_ordinal1)) ).
fof(spc1188_numerals, axiom,  (v2_xxreal_0(1188) & m1_subset_1(1188, k4_ordinal1)) ).
fof(spc1189_numerals, axiom,  (v2_xxreal_0(1189) & m1_subset_1(1189, k4_ordinal1)) ).
fof(spc12_numerals, axiom,  (v2_xxreal_0(12) & m1_subset_1(12, 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(spc40_numerals, axiom,  (v2_xxreal_0(40) & m1_subset_1(40, k4_ordinal1)) ).
fof(spc41_numerals, axiom,  (v2_xxreal_0(41) & m1_subset_1(41, 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) ) ).
