% Mizar problem: t830_xprimes0,xprimes0,5783,7 
fof(t830_xprimes0, conjecture,  ~ (v1_int_2(830)) ).
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_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_r414_rm414, axiom, k6_xcmplx_0(0, 414)=k4_xcmplx_0(414)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom, k6_xcmplx_0(0, k4_xcmplx_0(2))=2).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
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_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_r414_rm413, axiom, k6_xcmplx_0(1, 414)=k4_xcmplx_0(413)).
fof(rqRealDiff__k6_xcmplx_0__r1_r415_rm414, axiom, k6_xcmplx_0(1, 415)=k4_xcmplx_0(414)).
fof(rqRealDiff__k6_xcmplx_0__r1_r829_rm828, axiom, k6_xcmplx_0(1, 829)=k4_xcmplx_0(828)).
fof(rqRealDiff__k6_xcmplx_0__r1_r830_rm829, axiom, k6_xcmplx_0(1, 830)=k4_xcmplx_0(829)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom, k6_xcmplx_0(2, 0)=2).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(2, 1)=1).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__r2_r415_rm413, axiom, k6_xcmplx_0(2, 415)=k4_xcmplx_0(413)).
fof(rqRealDiff__k6_xcmplx_0__r2_r830_rm828, axiom, k6_xcmplx_0(2, 830)=k4_xcmplx_0(828)).
fof(rqRealDiff__k6_xcmplx_0__r413_r0_r413, axiom, k6_xcmplx_0(413, 0)=413).
fof(rqRealDiff__k6_xcmplx_0__r414_r0_r414, axiom, k6_xcmplx_0(414, 0)=414).
fof(rqRealDiff__k6_xcmplx_0__r414_r1_r413, axiom, k6_xcmplx_0(414, 1)=413).
fof(rqRealDiff__k6_xcmplx_0__r414_rm414_r828, axiom, k6_xcmplx_0(414, k4_xcmplx_0(414))=828).
fof(rqRealDiff__k6_xcmplx_0__r415_r0_r415, axiom, k6_xcmplx_0(415, 0)=415).
fof(rqRealDiff__k6_xcmplx_0__r415_r1_r414, axiom, k6_xcmplx_0(415, 1)=414).
fof(rqRealDiff__k6_xcmplx_0__r415_r2_r413, axiom, k6_xcmplx_0(415, 2)=413).
fof(rqRealDiff__k6_xcmplx_0__r415_rm415_r830, axiom, k6_xcmplx_0(415, k4_xcmplx_0(415))=830).
fof(rqRealDiff__k6_xcmplx_0__r828_r0_r828, axiom, k6_xcmplx_0(828, 0)=828).
fof(rqRealDiff__k6_xcmplx_0__r828_r414_r414, axiom, k6_xcmplx_0(828, 414)=414).
fof(rqRealDiff__k6_xcmplx_0__r830_r1_r829, axiom, k6_xcmplx_0(830, 1)=829).
fof(rqRealDiff__k6_xcmplx_0__r830_r2_r828, axiom, k6_xcmplx_0(830, 2)=828).
fof(rqRealDiff__k6_xcmplx_0__r830_r415_r415, axiom, k6_xcmplx_0(830, 415)=415).
fof(rqRealDiff__k6_xcmplx_0__r830_r828_r2, axiom, k6_xcmplx_0(830, 828)=2).
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_r1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(2)).
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_rm2_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=1).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm414_r413, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(414))=413).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm415_r414, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(415))=414).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm830_r829, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(830))=829).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=0).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm415_r413, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(415))=413).
fof(rqRealDiff__k6_xcmplx_0__rm413_r0_rm413, axiom, k6_xcmplx_0(k4_xcmplx_0(413), 0)=k4_xcmplx_0(413)).
fof(rqRealDiff__k6_xcmplx_0__rm413_r1_rm414, axiom, k6_xcmplx_0(k4_xcmplx_0(413), 1)=k4_xcmplx_0(414)).
fof(rqRealDiff__k6_xcmplx_0__rm413_r2_rm415, axiom, k6_xcmplx_0(k4_xcmplx_0(413), 2)=k4_xcmplx_0(415)).
fof(rqRealDiff__k6_xcmplx_0__rm413_rm413_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(413), k4_xcmplx_0(413))=0).
fof(rqRealDiff__k6_xcmplx_0__rm414_r0_rm414, axiom, k6_xcmplx_0(k4_xcmplx_0(414), 0)=k4_xcmplx_0(414)).
fof(rqRealDiff__k6_xcmplx_0__rm414_r1_rm415, axiom, k6_xcmplx_0(k4_xcmplx_0(414), 1)=k4_xcmplx_0(415)).
fof(rqRealDiff__k6_xcmplx_0__rm414_r414_rm828, axiom, k6_xcmplx_0(k4_xcmplx_0(414), 414)=k4_xcmplx_0(828)).
fof(rqRealDiff__k6_xcmplx_0__rm414_rm1_rm413, axiom, k6_xcmplx_0(k4_xcmplx_0(414), k4_xcmplx_0(1))=k4_xcmplx_0(413)).
fof(rqRealDiff__k6_xcmplx_0__rm414_rm413_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(414), k4_xcmplx_0(413))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm414_rm414_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(414), k4_xcmplx_0(414))=0).
fof(rqRealDiff__k6_xcmplx_0__rm415_r0_rm415, axiom, k6_xcmplx_0(k4_xcmplx_0(415), 0)=k4_xcmplx_0(415)).
fof(rqRealDiff__k6_xcmplx_0__rm415_r415_rm830, axiom, k6_xcmplx_0(k4_xcmplx_0(415), 415)=k4_xcmplx_0(830)).
fof(rqRealDiff__k6_xcmplx_0__rm415_rm413_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(415), k4_xcmplx_0(413))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm415_rm415_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(415), k4_xcmplx_0(415))=0).
fof(rqRealDiff__k6_xcmplx_0__rm828_r0_rm828, axiom, k6_xcmplx_0(k4_xcmplx_0(828), 0)=k4_xcmplx_0(828)).
fof(rqRealDiff__k6_xcmplx_0__rm828_r2_rm830, axiom, k6_xcmplx_0(k4_xcmplx_0(828), 2)=k4_xcmplx_0(830)).
fof(rqRealDiff__k6_xcmplx_0__rm828_rm828_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(828), k4_xcmplx_0(828))=0).
fof(rqRealDiff__k6_xcmplx_0__rm830_rm828_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(830), k4_xcmplx_0(828))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm830_rm830_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(830), k4_xcmplx_0(830))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 0)=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(1))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2, axiom, k7_xcmplx_0(1, 2)=k7_xcmplx_0(1, 2)).
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_rm2_rnm1d2, axiom, k7_xcmplx_0(1, k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 2))=2).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(2)).
fof(rqRealDiv__k7_xcmplx_0__r2_r1_r2, axiom, k7_xcmplx_0(2, 1)=2).
fof(rqRealDiv__k7_xcmplx_0__r2_r2_r1, axiom, k7_xcmplx_0(2, 2)=1).
fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 2)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiv__k7_xcmplx_0__rm2_r2_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(2), 2)=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_r2_r0, axiom, k3_xcmplx_0(0, 2)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r413_r0, axiom, k3_xcmplx_0(0, 413)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r414_r0, axiom, k3_xcmplx_0(0, 414)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r415_r0, axiom, k3_xcmplx_0(0, 415)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rm2_r0, axiom, k3_xcmplx_0(0, k4_xcmplx_0(2))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d2_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 2))=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_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r413_r413, axiom, k3_xcmplx_0(1, 413)=413).
fof(rqRealMult__k3_xcmplx_0__r1_r414_r414, axiom, k3_xcmplx_0(1, 414)=414).
fof(rqRealMult__k3_xcmplx_0__r1_r415_r415, axiom, k3_xcmplx_0(1, 415)=415).
fof(rqRealMult__k3_xcmplx_0__r1_r828_r828, axiom, k3_xcmplx_0(1, 828)=828).
fof(rqRealMult__k3_xcmplx_0__r1_r829_r829, axiom, k3_xcmplx_0(1, 829)=829).
fof(rqRealMult__k3_xcmplx_0__r1_r830_r830, axiom, k3_xcmplx_0(1, 830)=830).
fof(rqRealMult__k3_xcmplx_0__r1_rm2_rm2, axiom, k3_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom, k3_xcmplx_0(2, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__r2_r414_r828, axiom, k3_xcmplx_0(2, 414)=828).
fof(rqRealMult__k3_xcmplx_0__r2_r415_r830, axiom, k3_xcmplx_0(2, 415)=830).
fof(rqRealMult__k3_xcmplx_0__r2_rm415_rm830, axiom, k3_xcmplx_0(2, k4_xcmplx_0(415))=k4_xcmplx_0(830)).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d2_r1, axiom, k3_xcmplx_0(2, k7_xcmplx_0(1, 2))=1).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1, axiom, k3_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r413_r0_r0, axiom, k3_xcmplx_0(413, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r414_r0_r0, axiom, k3_xcmplx_0(414, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r414_r2_r828, axiom, k3_xcmplx_0(414, 2)=828).
fof(rqRealMult__k3_xcmplx_0__r415_r0_r0, axiom, k3_xcmplx_0(415, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r415_r2_r830, axiom, k3_xcmplx_0(415, 2)=830).
fof(rqRealMult__k3_xcmplx_0__r828_r1_r828, axiom, k3_xcmplx_0(828, 1)=828).
fof(rqRealMult__k3_xcmplx_0__rm2_r0_r0, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rm2_r1_rm2, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rm2_rm414_r828, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(414))=828).
fof(rqRealMult__k3_xcmplx_0__rm2_rm415_r830, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(415))=830).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 2)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 2)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r828_rm414, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 828)=k4_xcmplx_0(414)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r830_rm415, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 830)=k4_xcmplx_0(415)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(2))=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__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r413_rm413, axiom, k4_xcmplx_0(413)=k4_xcmplx_0(413)).
fof(rqRealNeg__k4_xcmplx_0__r414_rm414, axiom, k4_xcmplx_0(414)=k4_xcmplx_0(414)).
fof(rqRealNeg__k4_xcmplx_0__r415_rm415, axiom, k4_xcmplx_0(415)=k4_xcmplx_0(415)).
fof(rqRealNeg__k4_xcmplx_0__r828_rm828, axiom, k4_xcmplx_0(828)=k4_xcmplx_0(828)).
fof(rqRealNeg__k4_xcmplx_0__r829_rm829, axiom, k4_xcmplx_0(829)=k4_xcmplx_0(829)).
fof(rqRealNeg__k4_xcmplx_0__r830_rm830, axiom, k4_xcmplx_0(830)=k4_xcmplx_0(830)).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rm413_r413, axiom, k4_xcmplx_0(k4_xcmplx_0(413))=413).
fof(rqRealNeg__k4_xcmplx_0__rm414_r414, axiom, k4_xcmplx_0(k4_xcmplx_0(414))=414).
fof(rqRealNeg__k4_xcmplx_0__rm415_r415, axiom, k4_xcmplx_0(k4_xcmplx_0(415))=415).
fof(rqRealNeg__k4_xcmplx_0__rm828_r828, axiom, k4_xcmplx_0(k4_xcmplx_0(828))=828).
fof(rqRealNeg__k4_xcmplx_0__rm829_r829, axiom, k4_xcmplx_0(k4_xcmplx_0(829))=829).
fof(rqRealNeg__k4_xcmplx_0__rm830_r830, axiom, k4_xcmplx_0(k4_xcmplx_0(830))=830).
fof(rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
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(spc2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k4_xcmplx_0(1))=k4_xcmplx_0(A)) ) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc413_numerals, axiom,  (v2_xxreal_0(413) & m1_subset_1(413, k4_ordinal1)) ).
fof(spc414_numerals, axiom,  (v2_xxreal_0(414) & m1_subset_1(414, k4_ordinal1)) ).
fof(spc415_numerals, axiom,  (v2_xxreal_0(415) & m1_subset_1(415, 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(spc828_numerals, axiom,  (v2_xxreal_0(828) & m1_subset_1(828, k4_ordinal1)) ).
fof(spc829_numerals, axiom,  (v2_xxreal_0(829) & m1_subset_1(829, k4_ordinal1)) ).
fof(spc830_numerals, axiom,  (v2_xxreal_0(830) & m1_subset_1(830, 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) ) ).
