% Mizar problem: t1577_xprimes0,xprimes0,11141,7 
fof(t1577_xprimes0, conjecture,  ~ (v1_int_2(1577)) ).
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_r1494_rm1494, axiom, k6_xcmplx_0(0, 1494)=k4_xcmplx_0(1494)).
fof(rqRealDiff__k6_xcmplx_0__r0_r18_rm18, axiom, k6_xcmplx_0(0, 18)=k4_xcmplx_0(18)).
fof(rqRealDiff__k6_xcmplx_0__r0_r19_rm19, axiom, k6_xcmplx_0(0, 19)=k4_xcmplx_0(19)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r64_rm64, axiom, k6_xcmplx_0(0, 64)=k4_xcmplx_0(64)).
fof(rqRealDiff__k6_xcmplx_0__r0_r82_rm82, axiom, k6_xcmplx_0(0, 82)=k4_xcmplx_0(82)).
fof(rqRealDiff__k6_xcmplx_0__r0_r83_rm83, axiom, k6_xcmplx_0(0, 83)=k4_xcmplx_0(83)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm18_r18, axiom, k6_xcmplx_0(0, k4_xcmplx_0(18))=18).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm64_r64, axiom, k6_xcmplx_0(0, k4_xcmplx_0(64))=64).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d18_rnm1d18, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 18))=k7_xcmplx_0(k4_xcmplx_0(1), 18)).
fof(rqRealDiff__k6_xcmplx_0__r1577_r19_r1558, axiom, k6_xcmplx_0(1577, 19)=1558).
fof(rqRealDiff__k6_xcmplx_0__r1577_r1_r1576, axiom, k6_xcmplx_0(1577, 1)=1576).
fof(rqRealDiff__k6_xcmplx_0__r1577_r83_r1494, axiom, k6_xcmplx_0(1577, 83)=1494).
fof(rqRealDiff__k6_xcmplx_0__r18_r0_r18, axiom, k6_xcmplx_0(18, 0)=18).
fof(rqRealDiff__k6_xcmplx_0__r18_r18_r0, axiom, k6_xcmplx_0(18, 18)=0).
fof(rqRealDiff__k6_xcmplx_0__r18_r19_rm1, axiom, k6_xcmplx_0(18, 19)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r18_r82_rm64, axiom, k6_xcmplx_0(18, 82)=k4_xcmplx_0(64)).
fof(rqRealDiff__k6_xcmplx_0__r18_rm1_r19, axiom, k6_xcmplx_0(18, k4_xcmplx_0(1))=19).
fof(rqRealDiff__k6_xcmplx_0__r19_r0_r19, axiom, k6_xcmplx_0(19, 0)=19).
fof(rqRealDiff__k6_xcmplx_0__r19_r1577_rm1558, axiom, k6_xcmplx_0(19, 1577)=k4_xcmplx_0(1558)).
fof(rqRealDiff__k6_xcmplx_0__r19_r18_r1, axiom, k6_xcmplx_0(19, 18)=1).
fof(rqRealDiff__k6_xcmplx_0__r19_r19_r0, axiom, k6_xcmplx_0(19, 19)=0).
fof(rqRealDiff__k6_xcmplx_0__r19_r1_r18, axiom, k6_xcmplx_0(19, 1)=18).
fof(rqRealDiff__k6_xcmplx_0__r19_r83_rm64, axiom, k6_xcmplx_0(19, 83)=k4_xcmplx_0(64)).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1577_rm1576, axiom, k6_xcmplx_0(1, 1577)=k4_xcmplx_0(1576)).
fof(rqRealDiff__k6_xcmplx_0__r1_r19_rm18, axiom, k6_xcmplx_0(1, 19)=k4_xcmplx_0(18)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r83_rm82, axiom, k6_xcmplx_0(1, 83)=k4_xcmplx_0(82)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm18_r19, axiom, k6_xcmplx_0(1, k4_xcmplx_0(18))=19).
fof(rqRealDiff__k6_xcmplx_0__r64_r0_r64, axiom, k6_xcmplx_0(64, 0)=64).
fof(rqRealDiff__k6_xcmplx_0__r64_r64_r0, axiom, k6_xcmplx_0(64, 64)=0).
fof(rqRealDiff__k6_xcmplx_0__r64_r82_rm18, axiom, k6_xcmplx_0(64, 82)=k4_xcmplx_0(18)).
fof(rqRealDiff__k6_xcmplx_0__r82_r0_r82, axiom, k6_xcmplx_0(82, 0)=82).
fof(rqRealDiff__k6_xcmplx_0__r82_r18_r64, axiom, k6_xcmplx_0(82, 18)=64).
fof(rqRealDiff__k6_xcmplx_0__r82_r64_r18, axiom, k6_xcmplx_0(82, 64)=18).
fof(rqRealDiff__k6_xcmplx_0__r82_r82_r0, axiom, k6_xcmplx_0(82, 82)=0).
fof(rqRealDiff__k6_xcmplx_0__r82_rm1_r83, axiom, k6_xcmplx_0(82, k4_xcmplx_0(1))=83).
fof(rqRealDiff__k6_xcmplx_0__r83_r0_r83, axiom, k6_xcmplx_0(83, 0)=83).
fof(rqRealDiff__k6_xcmplx_0__r83_r1_r82, axiom, k6_xcmplx_0(83, 1)=82).
fof(rqRealDiff__k6_xcmplx_0__r83_r64_r19, axiom, k6_xcmplx_0(83, 64)=19).
fof(rqRealDiff__k6_xcmplx_0__r83_r83_r0, axiom, k6_xcmplx_0(83, 83)=0).
fof(rqRealDiff__k6_xcmplx_0__rm18_r0_rm18, axiom, k6_xcmplx_0(k4_xcmplx_0(18), 0)=k4_xcmplx_0(18)).
fof(rqRealDiff__k6_xcmplx_0__rm18_r1_rm19, axiom, k6_xcmplx_0(k4_xcmplx_0(18), 1)=k4_xcmplx_0(19)).
fof(rqRealDiff__k6_xcmplx_0__rm18_r64_rm82, axiom, k6_xcmplx_0(k4_xcmplx_0(18), 64)=k4_xcmplx_0(82)).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm18_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(18), k4_xcmplx_0(18))=0).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm19_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(18), k4_xcmplx_0(19))=1).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm82_r64, axiom, k6_xcmplx_0(k4_xcmplx_0(18), k4_xcmplx_0(82))=64).
fof(rqRealDiff__k6_xcmplx_0__rm19_r0_rm19, axiom, k6_xcmplx_0(k4_xcmplx_0(19), 0)=k4_xcmplx_0(19)).
fof(rqRealDiff__k6_xcmplx_0__rm19_rm18_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(19), k4_xcmplx_0(18))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm19_rm19_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(19), k4_xcmplx_0(19))=0).
fof(rqRealDiff__k6_xcmplx_0__rm19_rm1_rm18, axiom, k6_xcmplx_0(k4_xcmplx_0(19), k4_xcmplx_0(1))=k4_xcmplx_0(18)).
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_r18_rm19, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 18)=k4_xcmplx_0(19)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm19_r18, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(19))=18).
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_rm83_r82, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(83))=82).
fof(rqRealDiff__k6_xcmplx_0__rm64_r0_rm64, axiom, k6_xcmplx_0(k4_xcmplx_0(64), 0)=k4_xcmplx_0(64)).
fof(rqRealDiff__k6_xcmplx_0__rm64_r18_rm82, axiom, k6_xcmplx_0(k4_xcmplx_0(64), 18)=k4_xcmplx_0(82)).
fof(rqRealDiff__k6_xcmplx_0__rm64_r19_rm83, axiom, k6_xcmplx_0(k4_xcmplx_0(64), 19)=k4_xcmplx_0(83)).
fof(rqRealDiff__k6_xcmplx_0__rm64_rm64_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(64), k4_xcmplx_0(64))=0).
fof(rqRealDiff__k6_xcmplx_0__rm82_r0_rm82, axiom, k6_xcmplx_0(k4_xcmplx_0(82), 0)=k4_xcmplx_0(82)).
fof(rqRealDiff__k6_xcmplx_0__rm82_r1_rm83, axiom, k6_xcmplx_0(k4_xcmplx_0(82), 1)=k4_xcmplx_0(83)).
fof(rqRealDiff__k6_xcmplx_0__rm82_rm64_rm18, axiom, k6_xcmplx_0(k4_xcmplx_0(82), k4_xcmplx_0(64))=k4_xcmplx_0(18)).
fof(rqRealDiff__k6_xcmplx_0__rm82_rm82_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(82), k4_xcmplx_0(82))=0).
fof(rqRealDiff__k6_xcmplx_0__rm83_r0_rm83, axiom, k6_xcmplx_0(k4_xcmplx_0(83), 0)=k4_xcmplx_0(83)).
fof(rqRealDiff__k6_xcmplx_0__rm83_rm1_rm82, axiom, k6_xcmplx_0(k4_xcmplx_0(83), k4_xcmplx_0(1))=k4_xcmplx_0(82)).
fof(rqRealDiff__k6_xcmplx_0__rm83_rm64_rm19, axiom, k6_xcmplx_0(k4_xcmplx_0(83), k4_xcmplx_0(64))=k4_xcmplx_0(19)).
fof(rqRealDiff__k6_xcmplx_0__rm83_rm82_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(83), k4_xcmplx_0(82))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm83_rm83_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(83), k4_xcmplx_0(83))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d18_r0_rn1d18, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 18), 0)=k7_xcmplx_0(1, 18)).
fof(rqRealDiff__k6_xcmplx_0__rn1d18_rn1d18_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 18), k7_xcmplx_0(1, 18))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d64_rn1d64_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 64), k7_xcmplx_0(1, 64))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d18_rnm1d18_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 18), k7_xcmplx_0(k4_xcmplx_0(1), 18))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d64_rnm1d64_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 64), k7_xcmplx_0(k4_xcmplx_0(1), 64))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r18_rn1d18, axiom, k7_xcmplx_0(1, 18)=k7_xcmplx_0(1, 18)).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r64_rn1d64, axiom, k7_xcmplx_0(1, 64)=k7_xcmplx_0(1, 64)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm18_rnm1d18, axiom, k7_xcmplx_0(1, k4_xcmplx_0(18))=k7_xcmplx_0(k4_xcmplx_0(1), 18)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm19_rnm1d19, axiom, k7_xcmplx_0(1, k4_xcmplx_0(19))=k7_xcmplx_0(k4_xcmplx_0(1), 19)).
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_rm64_rnm1d64, axiom, k7_xcmplx_0(1, k4_xcmplx_0(64))=k7_xcmplx_0(k4_xcmplx_0(1), 64)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm82_rnm1d82, axiom, k7_xcmplx_0(1, k4_xcmplx_0(82))=k7_xcmplx_0(k4_xcmplx_0(1), 82)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm83_rnm1d83, axiom, k7_xcmplx_0(1, k4_xcmplx_0(83))=k7_xcmplx_0(k4_xcmplx_0(1), 83)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d18_r18, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 18))=18).
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_r18_r0, axiom, k3_xcmplx_0(0, 18)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r19_r0, axiom, k3_xcmplx_0(0, 19)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r64_r0, axiom, k3_xcmplx_0(0, 64)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r82_r0, axiom, k3_xcmplx_0(0, 82)=0).
fof(rqRealMult__k3_xcmplx_0__r18_r0_r0, axiom, k3_xcmplx_0(18, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r18_r1_r18, axiom, k3_xcmplx_0(18, 1)=18).
fof(rqRealMult__k3_xcmplx_0__r18_rm83_rm1494, axiom, k3_xcmplx_0(18, k4_xcmplx_0(83))=k4_xcmplx_0(1494)).
fof(rqRealMult__k3_xcmplx_0__r18_rn1d18_r1, axiom, k3_xcmplx_0(18, k7_xcmplx_0(1, 18))=1).
fof(rqRealMult__k3_xcmplx_0__r18_rnm1d18_rm1, axiom, k3_xcmplx_0(18, k7_xcmplx_0(k4_xcmplx_0(1), 18))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r19_r0_r0, axiom, k3_xcmplx_0(19, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r19_r1_r19, axiom, k3_xcmplx_0(19, 1)=19).
fof(rqRealMult__k3_xcmplx_0__r19_r82_r1558, axiom, k3_xcmplx_0(19, 82)=1558).
fof(rqRealMult__k3_xcmplx_0__r19_r83_r1577, axiom, k3_xcmplx_0(19, 83)=1577).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r18_r18, axiom, k3_xcmplx_0(1, 18)=18).
fof(rqRealMult__k3_xcmplx_0__r1_r19_r19, axiom, k3_xcmplx_0(1, 19)=19).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r64_r64, axiom, k3_xcmplx_0(1, 64)=64).
fof(rqRealMult__k3_xcmplx_0__r1_r82_r82, axiom, k3_xcmplx_0(1, 82)=82).
fof(rqRealMult__k3_xcmplx_0__r1_r83_r83, axiom, k3_xcmplx_0(1, 83)=83).
fof(rqRealMult__k3_xcmplx_0__r1_rm18_rm18, axiom, k3_xcmplx_0(1, k4_xcmplx_0(18))=k4_xcmplx_0(18)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d18_rn1d18, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 18))=k7_xcmplx_0(1, 18)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d64_rn1d64, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 64))=k7_xcmplx_0(1, 64)).
fof(rqRealMult__k3_xcmplx_0__r64_r0_r0, axiom, k3_xcmplx_0(64, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r64_r1_r64, axiom, k3_xcmplx_0(64, 1)=64).
fof(rqRealMult__k3_xcmplx_0__r64_rn1d64_r1, axiom, k3_xcmplx_0(64, k7_xcmplx_0(1, 64))=1).
fof(rqRealMult__k3_xcmplx_0__r64_rnm1d64_rm1, axiom, k3_xcmplx_0(64, k7_xcmplx_0(k4_xcmplx_0(1), 64))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r82_r0_r0, axiom, k3_xcmplx_0(82, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r82_r19_r1558, axiom, k3_xcmplx_0(82, 19)=1558).
fof(rqRealMult__k3_xcmplx_0__r82_r1_r82, axiom, k3_xcmplx_0(82, 1)=82).
fof(rqRealMult__k3_xcmplx_0__r83_r19_r1577, axiom, k3_xcmplx_0(83, 19)=1577).
fof(rqRealMult__k3_xcmplx_0__r83_r1_r83, axiom, k3_xcmplx_0(83, 1)=83).
fof(rqRealMult__k3_xcmplx_0__rm18_r1_rm18, axiom, k3_xcmplx_0(k4_xcmplx_0(18), 1)=k4_xcmplx_0(18)).
fof(rqRealMult__k3_xcmplx_0__rm18_rnm1d18_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(18), k7_xcmplx_0(k4_xcmplx_0(1), 18))=1).
fof(rqRealMult__k3_xcmplx_0__rm19_r1_rm19, axiom, k3_xcmplx_0(k4_xcmplx_0(19), 1)=k4_xcmplx_0(19)).
fof(rqRealMult__k3_xcmplx_0__rm19_rm83_r1577, axiom, k3_xcmplx_0(k4_xcmplx_0(19), k4_xcmplx_0(83))=1577).
fof(rqRealMult__k3_xcmplx_0__rm64_r1_rm64, axiom, k3_xcmplx_0(k4_xcmplx_0(64), 1)=k4_xcmplx_0(64)).
fof(rqRealMult__k3_xcmplx_0__rm64_rn1d64_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(64), k7_xcmplx_0(1, 64))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm64_rnm1d64_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(64), k7_xcmplx_0(k4_xcmplx_0(1), 64))=1).
fof(rqRealMult__k3_xcmplx_0__rm82_r1_rm82, axiom, k3_xcmplx_0(k4_xcmplx_0(82), 1)=k4_xcmplx_0(82)).
fof(rqRealMult__k3_xcmplx_0__rm83_r1_rm83, axiom, k3_xcmplx_0(k4_xcmplx_0(83), 1)=k4_xcmplx_0(83)).
fof(rqRealMult__k3_xcmplx_0__rn1d18_r18_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 18), 18)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d18_r1_rn1d18, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 18), 1)=k7_xcmplx_0(1, 18)).
fof(rqRealMult__k3_xcmplx_0__rn1d64_r1_rn1d64, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 64), 1)=k7_xcmplx_0(1, 64)).
fof(rqRealMult__k3_xcmplx_0__rn1d64_r64_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 64), 64)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d64_rm64_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 64), k4_xcmplx_0(64))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d18_r18_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 18), 18)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d18_r1_rnm1d18, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 18), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 18)).
fof(rqRealMult__k3_xcmplx_0__rnm1d18_rm18_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 18), k4_xcmplx_0(18))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d19_r1577_rm83, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 19), 1577)=k4_xcmplx_0(83)).
fof(rqRealMult__k3_xcmplx_0__rnm1d19_rm19_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 19), k4_xcmplx_0(19))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d64_r1_rnm1d64, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 64), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 64)).
fof(rqRealMult__k3_xcmplx_0__rnm1d64_rm64_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 64), k4_xcmplx_0(64))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d82_r82_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 82), 82)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d82_rm82_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 82), k4_xcmplx_0(82))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d83_rm83_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 83), k4_xcmplx_0(83))=1).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r1494_rm1494, axiom, k4_xcmplx_0(1494)=k4_xcmplx_0(1494)).
fof(rqRealNeg__k4_xcmplx_0__r18_rm18, axiom, k4_xcmplx_0(18)=k4_xcmplx_0(18)).
fof(rqRealNeg__k4_xcmplx_0__r19_rm19, axiom, k4_xcmplx_0(19)=k4_xcmplx_0(19)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r64_rm64, axiom, k4_xcmplx_0(64)=k4_xcmplx_0(64)).
fof(rqRealNeg__k4_xcmplx_0__r82_rm82, axiom, k4_xcmplx_0(82)=k4_xcmplx_0(82)).
fof(rqRealNeg__k4_xcmplx_0__r83_rm83, axiom, k4_xcmplx_0(83)=k4_xcmplx_0(83)).
fof(rqRealNeg__k4_xcmplx_0__rm1494_r1494, axiom, k4_xcmplx_0(k4_xcmplx_0(1494))=1494).
fof(rqRealNeg__k4_xcmplx_0__rm18_r18, axiom, k4_xcmplx_0(k4_xcmplx_0(18))=18).
fof(rqRealNeg__k4_xcmplx_0__rm19_r19, axiom, k4_xcmplx_0(k4_xcmplx_0(19))=19).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm64_r64, axiom, k4_xcmplx_0(k4_xcmplx_0(64))=64).
fof(rqRealNeg__k4_xcmplx_0__rm82_r82, axiom, k4_xcmplx_0(k4_xcmplx_0(82))=82).
fof(rqRealNeg__k4_xcmplx_0__rm83_r83, axiom, k4_xcmplx_0(k4_xcmplx_0(83))=83).
fof(rqRealNeg__k4_xcmplx_0__rn1d18_rnm1d18, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 18))=k7_xcmplx_0(k4_xcmplx_0(1), 18)).
fof(rqRealNeg__k4_xcmplx_0__rn1d64_rnm1d64, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 64))=k7_xcmplx_0(k4_xcmplx_0(1), 64)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d18_rn1d18, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 18))=k7_xcmplx_0(1, 18)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d64_rn1d64, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 64))=k7_xcmplx_0(1, 64)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc1494_numerals, axiom,  (v2_xxreal_0(1494) & m1_subset_1(1494, k4_ordinal1)) ).
fof(spc1558_numerals, axiom,  (v2_xxreal_0(1558) & m1_subset_1(1558, k4_ordinal1)) ).
fof(spc1576_numerals, axiom,  (v2_xxreal_0(1576) & m1_subset_1(1576, k4_ordinal1)) ).
fof(spc1577_numerals, axiom,  (v2_xxreal_0(1577) & m1_subset_1(1577, k4_ordinal1)) ).
fof(spc18_numerals, axiom,  (v2_xxreal_0(18) & m1_subset_1(18, k4_ordinal1)) ).
fof(spc19_numerals, axiom,  (v2_xxreal_0(19) & m1_subset_1(19, 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(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(spc64_numerals, axiom,  (v2_xxreal_0(64) & m1_subset_1(64, k4_ordinal1)) ).
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(spc82_numerals, axiom,  (v2_xxreal_0(82) & m1_subset_1(82, k4_ordinal1)) ).
fof(spc83_numerals, axiom,  (v2_xxreal_0(83) & m1_subset_1(83, 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) ) ).
