% Mizar problem: t844_xprimes0,xprimes0,5889,7 
fof(t844_xprimes0, conjecture,  ~ (v1_int_2(844)) ).
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_r420_rm420, axiom, k6_xcmplx_0(0, 420)=k4_xcmplx_0(420)).
fof(rqRealDiff__k6_xcmplx_0__r0_r421_rm421, axiom, k6_xcmplx_0(0, 421)=k4_xcmplx_0(421)).
fof(rqRealDiff__k6_xcmplx_0__r0_r422_rm422, axiom, k6_xcmplx_0(0, 422)=k4_xcmplx_0(422)).
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_r421_rm420, axiom, k6_xcmplx_0(1, 421)=k4_xcmplx_0(420)).
fof(rqRealDiff__k6_xcmplx_0__r1_r422_rm421, axiom, k6_xcmplx_0(1, 422)=k4_xcmplx_0(421)).
fof(rqRealDiff__k6_xcmplx_0__r1_r843_rm842, axiom, k6_xcmplx_0(1, 843)=k4_xcmplx_0(842)).
fof(rqRealDiff__k6_xcmplx_0__r1_r844_rm843, axiom, k6_xcmplx_0(1, 844)=k4_xcmplx_0(843)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_rm420_r421, axiom, k6_xcmplx_0(1, k4_xcmplx_0(420))=421).
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_r422_rm420, axiom, k6_xcmplx_0(2, 422)=k4_xcmplx_0(420)).
fof(rqRealDiff__k6_xcmplx_0__r2_r844_rm842, axiom, k6_xcmplx_0(2, 844)=k4_xcmplx_0(842)).
fof(rqRealDiff__k6_xcmplx_0__r420_r0_r420, axiom, k6_xcmplx_0(420, 0)=420).
fof(rqRealDiff__k6_xcmplx_0__r420_r420_r0, axiom, k6_xcmplx_0(420, 420)=0).
fof(rqRealDiff__k6_xcmplx_0__r420_r422_rm2, axiom, k6_xcmplx_0(420, 422)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r420_r842_rm422, axiom, k6_xcmplx_0(420, 842)=k4_xcmplx_0(422)).
fof(rqRealDiff__k6_xcmplx_0__r421_r0_r421, axiom, k6_xcmplx_0(421, 0)=421).
fof(rqRealDiff__k6_xcmplx_0__r421_r1_r420, axiom, k6_xcmplx_0(421, 1)=420).
fof(rqRealDiff__k6_xcmplx_0__r421_r421_r0, axiom, k6_xcmplx_0(421, 421)=0).
fof(rqRealDiff__k6_xcmplx_0__r422_r0_r422, axiom, k6_xcmplx_0(422, 0)=422).
fof(rqRealDiff__k6_xcmplx_0__r422_r1_r421, axiom, k6_xcmplx_0(422, 1)=421).
fof(rqRealDiff__k6_xcmplx_0__r422_r2_r420, axiom, k6_xcmplx_0(422, 2)=420).
fof(rqRealDiff__k6_xcmplx_0__r422_r420_r2, axiom, k6_xcmplx_0(422, 420)=2).
fof(rqRealDiff__k6_xcmplx_0__r842_r0_r842, axiom, k6_xcmplx_0(842, 0)=842).
fof(rqRealDiff__k6_xcmplx_0__r842_r420_r422, axiom, k6_xcmplx_0(842, 420)=422).
fof(rqRealDiff__k6_xcmplx_0__r842_r421_r421, axiom, k6_xcmplx_0(842, 421)=421).
fof(rqRealDiff__k6_xcmplx_0__r843_r0_r843, axiom, k6_xcmplx_0(843, 0)=843).
fof(rqRealDiff__k6_xcmplx_0__r843_r1_r842, axiom, k6_xcmplx_0(843, 1)=842).
fof(rqRealDiff__k6_xcmplx_0__r843_rm1_r844, axiom, k6_xcmplx_0(843, k4_xcmplx_0(1))=844).
fof(rqRealDiff__k6_xcmplx_0__r844_r0_r844, axiom, k6_xcmplx_0(844, 0)=844).
fof(rqRealDiff__k6_xcmplx_0__r844_r1_r843, axiom, k6_xcmplx_0(844, 1)=843).
fof(rqRealDiff__k6_xcmplx_0__r844_r2_r842, axiom, k6_xcmplx_0(844, 2)=842).
fof(rqRealDiff__k6_xcmplx_0__r844_r422_r422, axiom, k6_xcmplx_0(844, 422)=422).
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_rm422_r421, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(422))=421).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm843_r842, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(843))=842).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm844_r843, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(844))=843).
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_r420_rm422, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 420)=k4_xcmplx_0(422)).
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_rm844_r842, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(844))=842).
fof(rqRealDiff__k6_xcmplx_0__rm420_r0_rm420, axiom, k6_xcmplx_0(k4_xcmplx_0(420), 0)=k4_xcmplx_0(420)).
fof(rqRealDiff__k6_xcmplx_0__rm420_r1_rm421, axiom, k6_xcmplx_0(k4_xcmplx_0(420), 1)=k4_xcmplx_0(421)).
fof(rqRealDiff__k6_xcmplx_0__rm420_r2_rm422, axiom, k6_xcmplx_0(k4_xcmplx_0(420), 2)=k4_xcmplx_0(422)).
fof(rqRealDiff__k6_xcmplx_0__rm420_rm420_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(420), k4_xcmplx_0(420))=0).
fof(rqRealDiff__k6_xcmplx_0__rm421_rm420_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(421), k4_xcmplx_0(420))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm421_rm421_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(421), k4_xcmplx_0(421))=0).
fof(rqRealDiff__k6_xcmplx_0__rm422_rm420_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(422), k4_xcmplx_0(420))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm422_rm422_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(422), k4_xcmplx_0(422))=0).
fof(rqRealDiff__k6_xcmplx_0__rm842_r1_rm843, axiom, k6_xcmplx_0(k4_xcmplx_0(842), 1)=k4_xcmplx_0(843)).
fof(rqRealDiff__k6_xcmplx_0__rm842_r2_rm844, axiom, k6_xcmplx_0(k4_xcmplx_0(842), 2)=k4_xcmplx_0(844)).
fof(rqRealDiff__k6_xcmplx_0__rm842_rm842_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(842), k4_xcmplx_0(842))=0).
fof(rqRealDiff__k6_xcmplx_0__rm843_rm1_rm842, axiom, k6_xcmplx_0(k4_xcmplx_0(843), k4_xcmplx_0(1))=k4_xcmplx_0(842)).
fof(rqRealDiff__k6_xcmplx_0__rm843_rm842_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(843), k4_xcmplx_0(842))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm843_rm843_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(843), k4_xcmplx_0(843))=0).
fof(rqRealDiff__k6_xcmplx_0__rm844_rm1_rm843, axiom, k6_xcmplx_0(k4_xcmplx_0(844), k4_xcmplx_0(1))=k4_xcmplx_0(843)).
fof(rqRealDiff__k6_xcmplx_0__rm844_rm842_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(844), k4_xcmplx_0(842))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm844_rm844_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(844), k4_xcmplx_0(844))=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_rm421_rnm1d421, axiom, k7_xcmplx_0(1, k4_xcmplx_0(421))=k7_xcmplx_0(k4_xcmplx_0(1), 421)).
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_r420_r0, axiom, k3_xcmplx_0(0, 420)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r422_r0, axiom, k3_xcmplx_0(0, 422)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r843_r0, axiom, k3_xcmplx_0(0, 843)=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_r420_r420, axiom, k3_xcmplx_0(1, 420)=420).
fof(rqRealMult__k3_xcmplx_0__r1_r421_r421, axiom, k3_xcmplx_0(1, 421)=421).
fof(rqRealMult__k3_xcmplx_0__r1_r422_r422, axiom, k3_xcmplx_0(1, 422)=422).
fof(rqRealMult__k3_xcmplx_0__r1_r842_r842, axiom, k3_xcmplx_0(1, 842)=842).
fof(rqRealMult__k3_xcmplx_0__r1_r843_r843, axiom, k3_xcmplx_0(1, 843)=843).
fof(rqRealMult__k3_xcmplx_0__r1_r844_r844, axiom, k3_xcmplx_0(1, 844)=844).
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_r421_r842, axiom, k3_xcmplx_0(2, 421)=842).
fof(rqRealMult__k3_xcmplx_0__r2_r422_r844, axiom, k3_xcmplx_0(2, 422)=844).
fof(rqRealMult__k3_xcmplx_0__r2_rm421_rm842, axiom, k3_xcmplx_0(2, k4_xcmplx_0(421))=k4_xcmplx_0(842)).
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__r420_r0_r0, axiom, k3_xcmplx_0(420, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r420_r1_r420, axiom, k3_xcmplx_0(420, 1)=420).
fof(rqRealMult__k3_xcmplx_0__r421_r1_r421, axiom, k3_xcmplx_0(421, 1)=421).
fof(rqRealMult__k3_xcmplx_0__r421_r2_r842, axiom, k3_xcmplx_0(421, 2)=842).
fof(rqRealMult__k3_xcmplx_0__r422_r0_r0, axiom, k3_xcmplx_0(422, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r422_r2_r844, axiom, k3_xcmplx_0(422, 2)=844).
fof(rqRealMult__k3_xcmplx_0__r843_r0_r0, axiom, k3_xcmplx_0(843, 0)=0).
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_rm421_r842, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(421))=842).
fof(rqRealMult__k3_xcmplx_0__rm2_rm422_r844, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(422))=844).
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__rm420_r1_rm420, axiom, k3_xcmplx_0(k4_xcmplx_0(420), 1)=k4_xcmplx_0(420)).
fof(rqRealMult__k3_xcmplx_0__rm421_r1_rm421, axiom, k3_xcmplx_0(k4_xcmplx_0(421), 1)=k4_xcmplx_0(421)).
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_r842_rm421, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 842)=k4_xcmplx_0(421)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r844_rm422, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 844)=k4_xcmplx_0(422)).
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(rqRealMult__k3_xcmplx_0__rnm1d421_rm421_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 421), k4_xcmplx_0(421))=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__r420_rm420, axiom, k4_xcmplx_0(420)=k4_xcmplx_0(420)).
fof(rqRealNeg__k4_xcmplx_0__r421_rm421, axiom, k4_xcmplx_0(421)=k4_xcmplx_0(421)).
fof(rqRealNeg__k4_xcmplx_0__r422_rm422, axiom, k4_xcmplx_0(422)=k4_xcmplx_0(422)).
fof(rqRealNeg__k4_xcmplx_0__r842_rm842, axiom, k4_xcmplx_0(842)=k4_xcmplx_0(842)).
fof(rqRealNeg__k4_xcmplx_0__r843_rm843, axiom, k4_xcmplx_0(843)=k4_xcmplx_0(843)).
fof(rqRealNeg__k4_xcmplx_0__r844_rm844, axiom, k4_xcmplx_0(844)=k4_xcmplx_0(844)).
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__rm420_r420, axiom, k4_xcmplx_0(k4_xcmplx_0(420))=420).
fof(rqRealNeg__k4_xcmplx_0__rm421_r421, axiom, k4_xcmplx_0(k4_xcmplx_0(421))=421).
fof(rqRealNeg__k4_xcmplx_0__rm422_r422, axiom, k4_xcmplx_0(k4_xcmplx_0(422))=422).
fof(rqRealNeg__k4_xcmplx_0__rm842_r842, axiom, k4_xcmplx_0(k4_xcmplx_0(842))=842).
fof(rqRealNeg__k4_xcmplx_0__rm843_r843, axiom, k4_xcmplx_0(k4_xcmplx_0(843))=843).
fof(rqRealNeg__k4_xcmplx_0__rm844_r844, axiom, k4_xcmplx_0(k4_xcmplx_0(844))=844).
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(spc420_numerals, axiom,  (v2_xxreal_0(420) & m1_subset_1(420, k4_ordinal1)) ).
fof(spc421_numerals, axiom,  (v2_xxreal_0(421) & m1_subset_1(421, k4_ordinal1)) ).
fof(spc422_numerals, axiom,  (v2_xxreal_0(422) & m1_subset_1(422, 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(spc842_numerals, axiom,  (v2_xxreal_0(842) & m1_subset_1(842, k4_ordinal1)) ).
fof(spc843_numerals, axiom,  (v2_xxreal_0(843) & m1_subset_1(843, k4_ordinal1)) ).
fof(spc844_numerals, axiom,  (v2_xxreal_0(844) & m1_subset_1(844, 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) ) ).
