% Mizar problem: t1079_xprimes0,xprimes0,7565,7 
fof(t1079_xprimes0, conjecture,  ~ (v1_int_2(1079)) ).
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_r13_rm13, axiom, k6_xcmplx_0(0, 13)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r70_rm70, axiom, k6_xcmplx_0(0, 70)=k4_xcmplx_0(70)).
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_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm70_r70, axiom, k6_xcmplx_0(0, k4_xcmplx_0(70))=70).
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__r1079_r13_r1066, axiom, k6_xcmplx_0(1079, 13)=1066).
fof(rqRealDiff__k6_xcmplx_0__r1079_r1_r1078, axiom, k6_xcmplx_0(1079, 1)=1078).
fof(rqRealDiff__k6_xcmplx_0__r1079_r83_r996, axiom, k6_xcmplx_0(1079, 83)=996).
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_r13_rm1, axiom, k6_xcmplx_0(12, 13)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r12_r82_rm70, axiom, k6_xcmplx_0(12, 82)=k4_xcmplx_0(70)).
fof(rqRealDiff__k6_xcmplx_0__r12_rm1_r13, axiom, k6_xcmplx_0(12, k4_xcmplx_0(1))=13).
fof(rqRealDiff__k6_xcmplx_0__r12_rm70_r82, axiom, k6_xcmplx_0(12, k4_xcmplx_0(70))=82).
fof(rqRealDiff__k6_xcmplx_0__r13_r0_r13, axiom, k6_xcmplx_0(13, 0)=13).
fof(rqRealDiff__k6_xcmplx_0__r13_r1079_rm1066, axiom, k6_xcmplx_0(13, 1079)=k4_xcmplx_0(1066)).
fof(rqRealDiff__k6_xcmplx_0__r13_r12_r1, axiom, k6_xcmplx_0(13, 12)=1).
fof(rqRealDiff__k6_xcmplx_0__r13_r13_r0, axiom, k6_xcmplx_0(13, 13)=0).
fof(rqRealDiff__k6_xcmplx_0__r13_r1_r12, axiom, k6_xcmplx_0(13, 1)=12).
fof(rqRealDiff__k6_xcmplx_0__r13_r83_rm70, axiom, k6_xcmplx_0(13, 83)=k4_xcmplx_0(70)).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r1079_rm1078, axiom, k6_xcmplx_0(1, 1079)=k4_xcmplx_0(1078)).
fof(rqRealDiff__k6_xcmplx_0__r1_r13_rm12, axiom, k6_xcmplx_0(1, 13)=k4_xcmplx_0(12)).
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_rm12_r13, axiom, k6_xcmplx_0(1, k4_xcmplx_0(12))=13).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d12_rn13d12, axiom, k6_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 12))=k7_xcmplx_0(13, 12)).
fof(rqRealDiff__k6_xcmplx_0__r70_r0_r70, axiom, k6_xcmplx_0(70, 0)=70).
fof(rqRealDiff__k6_xcmplx_0__r70_r70_r0, axiom, k6_xcmplx_0(70, 70)=0).
fof(rqRealDiff__k6_xcmplx_0__r70_r82_rm12, axiom, k6_xcmplx_0(70, 82)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r82_r0_r82, axiom, k6_xcmplx_0(82, 0)=82).
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_r13_r70, axiom, k6_xcmplx_0(83, 13)=70).
fof(rqRealDiff__k6_xcmplx_0__r83_r1_r82, axiom, k6_xcmplx_0(83, 1)=82).
fof(rqRealDiff__k6_xcmplx_0__r83_r83_r0, axiom, k6_xcmplx_0(83, 83)=0).
fof(rqRealDiff__k6_xcmplx_0__r996_r0_r996, axiom, k6_xcmplx_0(996, 0)=996).
fof(rqRealDiff__k6_xcmplx_0__rm1066_rm1066_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1066), k4_xcmplx_0(1066))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1078_rm1078_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1078), k4_xcmplx_0(1078))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1079_rm1079_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1079), k4_xcmplx_0(1079))=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_r1_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 1)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm12_r70_rm82, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 70)=k4_xcmplx_0(82)).
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_rm13_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(13))=1).
fof(rqRealDiff__k6_xcmplx_0__rm13_r0_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(13), 0)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm12_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(12))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm13_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(13))=0).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm1_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(1))=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm83_r70, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(83))=70).
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_r12_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 12)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1079_r1078, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1079))=1078).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm13_r12, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(13))=12).
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__rm1_rn1d12_rnm13d12, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 12))=k7_xcmplx_0(k4_xcmplx_0(13), 12)).
fof(rqRealDiff__k6_xcmplx_0__rm70_r0_rm70, axiom, k6_xcmplx_0(k4_xcmplx_0(70), 0)=k4_xcmplx_0(70)).
fof(rqRealDiff__k6_xcmplx_0__rm70_rm70_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(70), k4_xcmplx_0(70))=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_rm70_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(82), k4_xcmplx_0(70))=k4_xcmplx_0(12)).
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_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__rm996_rm996_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(996), k4_xcmplx_0(996))=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_r1_rnm13d12, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 12), 1)=k7_xcmplx_0(k4_xcmplx_0(13), 12)).
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_r13_rn1d13, axiom, k7_xcmplx_0(1, 13)=k7_xcmplx_0(1, 13)).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
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_rm13_rnm1d13, axiom, k7_xcmplx_0(1, k4_xcmplx_0(13))=k7_xcmplx_0(k4_xcmplx_0(1), 13)).
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_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__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_r13_r0, axiom, k3_xcmplx_0(0, 13)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r70_r0, axiom, k3_xcmplx_0(0, 70)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r82_r0, axiom, k3_xcmplx_0(0, 82)=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_rm83_rm996, axiom, k3_xcmplx_0(12, k4_xcmplx_0(83))=k4_xcmplx_0(996)).
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__r13_r0_r0, axiom, k3_xcmplx_0(13, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r13_r1_r13, axiom, k3_xcmplx_0(13, 1)=13).
fof(rqRealMult__k3_xcmplx_0__r13_r82_r1066, axiom, k3_xcmplx_0(13, 82)=1066).
fof(rqRealMult__k3_xcmplx_0__r13_r83_r1079, axiom, k3_xcmplx_0(13, 83)=1079).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r1066_r1066, axiom, k3_xcmplx_0(1, 1066)=1066).
fof(rqRealMult__k3_xcmplx_0__r1_r1078_r1078, axiom, k3_xcmplx_0(1, 1078)=1078).
fof(rqRealMult__k3_xcmplx_0__r1_r1079_r1079, axiom, k3_xcmplx_0(1, 1079)=1079).
fof(rqRealMult__k3_xcmplx_0__r1_r12_r12, axiom, k3_xcmplx_0(1, 12)=12).
fof(rqRealMult__k3_xcmplx_0__r1_r13_r13, axiom, k3_xcmplx_0(1, 13)=13).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r70_r70, axiom, k3_xcmplx_0(1, 70)=70).
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_r996_r996, axiom, k3_xcmplx_0(1, 996)=996).
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_rm13_rm13, axiom, k3_xcmplx_0(1, k4_xcmplx_0(13))=k4_xcmplx_0(13)).
fof(rqRealMult__k3_xcmplx_0__r1_rm70_rm70, axiom, k3_xcmplx_0(1, k4_xcmplx_0(70))=k4_xcmplx_0(70)).
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__r70_r0_r0, axiom, k3_xcmplx_0(70, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r70_r1_r70, axiom, k3_xcmplx_0(70, 1)=70).
fof(rqRealMult__k3_xcmplx_0__r82_r0_r0, axiom, k3_xcmplx_0(82, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r82_r13_r1066, axiom, k3_xcmplx_0(82, 13)=1066).
fof(rqRealMult__k3_xcmplx_0__r82_r1_r82, axiom, k3_xcmplx_0(82, 1)=82).
fof(rqRealMult__k3_xcmplx_0__r83_r13_r1079, axiom, k3_xcmplx_0(83, 13)=1079).
fof(rqRealMult__k3_xcmplx_0__r83_r1_r83, axiom, k3_xcmplx_0(83, 1)=83).
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__rm13_r1_rm13, axiom, k3_xcmplx_0(k4_xcmplx_0(13), 1)=k4_xcmplx_0(13)).
fof(rqRealMult__k3_xcmplx_0__rm13_rm83_r1079, axiom, k3_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(83))=1079).
fof(rqRealMult__k3_xcmplx_0__rm70_r1_rm70, axiom, k3_xcmplx_0(k4_xcmplx_0(70), 1)=k4_xcmplx_0(70)).
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__rm83_rnm1d12_rn83d12, axiom, k3_xcmplx_0(k4_xcmplx_0(83), k7_xcmplx_0(k4_xcmplx_0(1), 12))=k7_xcmplx_0(83, 12)).
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__rn1d13_r13_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 13), 13)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d13_rm13_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 13), k4_xcmplx_0(13))=k4_xcmplx_0(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__rnm1d13_r1079_rm83, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 13), 1079)=k4_xcmplx_0(83)).
fof(rqRealMult__k3_xcmplx_0__rnm1d13_rm13_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 13), k4_xcmplx_0(13))=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__r1066_rm1066, axiom, k4_xcmplx_0(1066)=k4_xcmplx_0(1066)).
fof(rqRealNeg__k4_xcmplx_0__r1078_rm1078, axiom, k4_xcmplx_0(1078)=k4_xcmplx_0(1078)).
fof(rqRealNeg__k4_xcmplx_0__r1079_rm1079, axiom, k4_xcmplx_0(1079)=k4_xcmplx_0(1079)).
fof(rqRealNeg__k4_xcmplx_0__r12_rm12, axiom, k4_xcmplx_0(12)=k4_xcmplx_0(12)).
fof(rqRealNeg__k4_xcmplx_0__r13_rm13, axiom, k4_xcmplx_0(13)=k4_xcmplx_0(13)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r70_rm70, axiom, k4_xcmplx_0(70)=k4_xcmplx_0(70)).
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__r996_rm996, axiom, k4_xcmplx_0(996)=k4_xcmplx_0(996)).
fof(rqRealNeg__k4_xcmplx_0__rm1066_r1066, axiom, k4_xcmplx_0(k4_xcmplx_0(1066))=1066).
fof(rqRealNeg__k4_xcmplx_0__rm1078_r1078, axiom, k4_xcmplx_0(k4_xcmplx_0(1078))=1078).
fof(rqRealNeg__k4_xcmplx_0__rm1079_r1079, axiom, k4_xcmplx_0(k4_xcmplx_0(1079))=1079).
fof(rqRealNeg__k4_xcmplx_0__rm12_r12, axiom, k4_xcmplx_0(k4_xcmplx_0(12))=12).
fof(rqRealNeg__k4_xcmplx_0__rm13_r13, axiom, k4_xcmplx_0(k4_xcmplx_0(13))=13).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm70_r70, axiom, k4_xcmplx_0(k4_xcmplx_0(70))=70).
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__rm996_r996, axiom, k4_xcmplx_0(k4_xcmplx_0(996))=996).
fof(rqRealNeg__k4_xcmplx_0__rn12d13_rnm12d13, axiom, k4_xcmplx_0(k7_xcmplx_0(12, 13))=k7_xcmplx_0(k4_xcmplx_0(12), 13)).
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__rnm12d13_rn12d13, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(12), 13))=k7_xcmplx_0(12, 13)).
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(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc1066_numerals, axiom,  (v2_xxreal_0(1066) & m1_subset_1(1066, k4_ordinal1)) ).
fof(spc1078_numerals, axiom,  (v2_xxreal_0(1078) & m1_subset_1(1078, k4_ordinal1)) ).
fof(spc1079_numerals, axiom,  (v2_xxreal_0(1079) & m1_subset_1(1079, k4_ordinal1)) ).
fof(spc12_numerals, axiom,  (v2_xxreal_0(12) & m1_subset_1(12, k4_ordinal1)) ).
fof(spc13_numerals, axiom,  (v2_xxreal_0(13) & m1_subset_1(13, 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(spc70_numerals, axiom,  (v2_xxreal_0(70) & m1_subset_1(70, 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(spc996_numerals, axiom,  (v2_xxreal_0(996) & m1_subset_1(996, 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) ) ).
