% Mizar problem: t166_xprimes0,xprimes0,1113,7 
fof(t166_xprimes0, conjecture,  ~ (v1_int_2(166)) ).
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_r164_rm164, axiom, k6_xcmplx_0(0, 164)=k4_xcmplx_0(164)).
fof(rqRealDiff__k6_xcmplx_0__r0_r165_rm165, axiom, k6_xcmplx_0(0, 165)=k4_xcmplx_0(165)).
fof(rqRealDiff__k6_xcmplx_0__r0_r166_rm166, axiom, k6_xcmplx_0(0, 166)=k4_xcmplx_0(166)).
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_r81_rm81, axiom, k6_xcmplx_0(0, 81)=k4_xcmplx_0(81)).
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_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__r164_r0_r164, axiom, k6_xcmplx_0(164, 0)=164).
fof(rqRealDiff__k6_xcmplx_0__r164_r82_r82, axiom, k6_xcmplx_0(164, 82)=82).
fof(rqRealDiff__k6_xcmplx_0__r164_r83_r81, axiom, k6_xcmplx_0(164, 83)=81).
fof(rqRealDiff__k6_xcmplx_0__r165_r0_r165, axiom, k6_xcmplx_0(165, 0)=165).
fof(rqRealDiff__k6_xcmplx_0__r165_r164_r1, axiom, k6_xcmplx_0(165, 164)=1).
fof(rqRealDiff__k6_xcmplx_0__r165_r1_r164, axiom, k6_xcmplx_0(165, 1)=164).
fof(rqRealDiff__k6_xcmplx_0__r166_r0_r166, axiom, k6_xcmplx_0(166, 0)=166).
fof(rqRealDiff__k6_xcmplx_0__r166_r164_r2, axiom, k6_xcmplx_0(166, 164)=2).
fof(rqRealDiff__k6_xcmplx_0__r166_r166_r0, axiom, k6_xcmplx_0(166, 166)=0).
fof(rqRealDiff__k6_xcmplx_0__r166_r1_r165, axiom, k6_xcmplx_0(166, 1)=165).
fof(rqRealDiff__k6_xcmplx_0__r166_r2_r164, axiom, k6_xcmplx_0(166, 2)=164).
fof(rqRealDiff__k6_xcmplx_0__r166_r83_r83, axiom, k6_xcmplx_0(166, 83)=83).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r165_rm164, axiom, k6_xcmplx_0(1, 165)=k4_xcmplx_0(164)).
fof(rqRealDiff__k6_xcmplx_0__r1_r166_rm165, axiom, k6_xcmplx_0(1, 166)=k4_xcmplx_0(165)).
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_r82_rm81, axiom, k6_xcmplx_0(1, 82)=k4_xcmplx_0(81)).
fof(rqRealDiff__k6_xcmplx_0__r1_r83_rm82, axiom, k6_xcmplx_0(1, 83)=k4_xcmplx_0(82)).
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_r166_rm164, axiom, k6_xcmplx_0(2, 166)=k4_xcmplx_0(164)).
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_r83_rm81, axiom, k6_xcmplx_0(2, 83)=k4_xcmplx_0(81)).
fof(rqRealDiff__k6_xcmplx_0__r81_r0_r81, axiom, k6_xcmplx_0(81, 0)=81).
fof(rqRealDiff__k6_xcmplx_0__r81_r164_rm83, axiom, k6_xcmplx_0(81, 164)=k4_xcmplx_0(83)).
fof(rqRealDiff__k6_xcmplx_0__r81_r81_r0, axiom, k6_xcmplx_0(81, 81)=0).
fof(rqRealDiff__k6_xcmplx_0__r81_r82_rm1, axiom, k6_xcmplx_0(81, 82)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r81_r83_rm2, axiom, k6_xcmplx_0(81, 83)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r81_rm2_r83, axiom, k6_xcmplx_0(81, k4_xcmplx_0(2))=83).
fof(rqRealDiff__k6_xcmplx_0__r82_r0_r82, axiom, k6_xcmplx_0(82, 0)=82).
fof(rqRealDiff__k6_xcmplx_0__r82_r164_rm82, axiom, k6_xcmplx_0(82, 164)=k4_xcmplx_0(82)).
fof(rqRealDiff__k6_xcmplx_0__r82_r1_r81, axiom, k6_xcmplx_0(82, 1)=81).
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__r82_rm82_r164, axiom, k6_xcmplx_0(82, k4_xcmplx_0(82))=164).
fof(rqRealDiff__k6_xcmplx_0__r83_r0_r83, axiom, k6_xcmplx_0(83, 0)=83).
fof(rqRealDiff__k6_xcmplx_0__r83_r164_rm81, axiom, k6_xcmplx_0(83, 164)=k4_xcmplx_0(81)).
fof(rqRealDiff__k6_xcmplx_0__r83_r165_rm82, axiom, k6_xcmplx_0(83, 165)=k4_xcmplx_0(82)).
fof(rqRealDiff__k6_xcmplx_0__r83_r1_r82, axiom, k6_xcmplx_0(83, 1)=82).
fof(rqRealDiff__k6_xcmplx_0__r83_r2_r81, axiom, k6_xcmplx_0(83, 2)=81).
fof(rqRealDiff__k6_xcmplx_0__r83_r83_r0, axiom, k6_xcmplx_0(83, 83)=0).
fof(rqRealDiff__k6_xcmplx_0__r83_rm83_r166, axiom, k6_xcmplx_0(83, k4_xcmplx_0(83))=166).
fof(rqRealDiff__k6_xcmplx_0__rm164_r0_rm164, axiom, k6_xcmplx_0(k4_xcmplx_0(164), 0)=k4_xcmplx_0(164)).
fof(rqRealDiff__k6_xcmplx_0__rm164_r1_rm165, axiom, k6_xcmplx_0(k4_xcmplx_0(164), 1)=k4_xcmplx_0(165)).
fof(rqRealDiff__k6_xcmplx_0__rm164_r2_rm166, axiom, k6_xcmplx_0(k4_xcmplx_0(164), 2)=k4_xcmplx_0(166)).
fof(rqRealDiff__k6_xcmplx_0__rm164_rm164_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(164), k4_xcmplx_0(164))=0).
fof(rqRealDiff__k6_xcmplx_0__rm164_rm82_rm82, axiom, k6_xcmplx_0(k4_xcmplx_0(164), k4_xcmplx_0(82))=k4_xcmplx_0(82)).
fof(rqRealDiff__k6_xcmplx_0__rm164_rm83_rm81, axiom, k6_xcmplx_0(k4_xcmplx_0(164), k4_xcmplx_0(83))=k4_xcmplx_0(81)).
fof(rqRealDiff__k6_xcmplx_0__rm165_rm164_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(165), k4_xcmplx_0(164))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm165_rm165_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(165), k4_xcmplx_0(165))=0).
fof(rqRealDiff__k6_xcmplx_0__rm165_rm1_rm164, axiom, k6_xcmplx_0(k4_xcmplx_0(165), k4_xcmplx_0(1))=k4_xcmplx_0(164)).
fof(rqRealDiff__k6_xcmplx_0__rm165_rm83_rm82, axiom, k6_xcmplx_0(k4_xcmplx_0(165), k4_xcmplx_0(83))=k4_xcmplx_0(82)).
fof(rqRealDiff__k6_xcmplx_0__rm166_r0_rm166, axiom, k6_xcmplx_0(k4_xcmplx_0(166), 0)=k4_xcmplx_0(166)).
fof(rqRealDiff__k6_xcmplx_0__rm166_rm164_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(166), k4_xcmplx_0(164))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm166_rm166_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(166), k4_xcmplx_0(166))=0).
fof(rqRealDiff__k6_xcmplx_0__rm166_rm1_rm165, axiom, k6_xcmplx_0(k4_xcmplx_0(166), k4_xcmplx_0(1))=k4_xcmplx_0(165)).
fof(rqRealDiff__k6_xcmplx_0__rm166_rm2_rm164, axiom, k6_xcmplx_0(k4_xcmplx_0(166), k4_xcmplx_0(2))=k4_xcmplx_0(164)).
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_r81_rm82, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 81)=k4_xcmplx_0(82)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm165_r164, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(165))=164).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm166_r165, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(166))=165).
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_rm82_r81, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(82))=81).
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_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_r164_rm166, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 164)=k4_xcmplx_0(166)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm166_r164, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(166))=164).
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_rm83_r81, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(83))=81).
fof(rqRealDiff__k6_xcmplx_0__rm81_r0_rm81, axiom, k6_xcmplx_0(k4_xcmplx_0(81), 0)=k4_xcmplx_0(81)).
fof(rqRealDiff__k6_xcmplx_0__rm81_r1_rm82, axiom, k6_xcmplx_0(k4_xcmplx_0(81), 1)=k4_xcmplx_0(82)).
fof(rqRealDiff__k6_xcmplx_0__rm81_r2_rm83, axiom, k6_xcmplx_0(k4_xcmplx_0(81), 2)=k4_xcmplx_0(83)).
fof(rqRealDiff__k6_xcmplx_0__rm81_rm81_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(81), k4_xcmplx_0(81))=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_r82_rm164, axiom, k6_xcmplx_0(k4_xcmplx_0(82), 82)=k4_xcmplx_0(164)).
fof(rqRealDiff__k6_xcmplx_0__rm82_rm1_rm81, axiom, k6_xcmplx_0(k4_xcmplx_0(82), k4_xcmplx_0(1))=k4_xcmplx_0(81)).
fof(rqRealDiff__k6_xcmplx_0__rm82_rm81_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(82), k4_xcmplx_0(81))=k4_xcmplx_0(1)).
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_r83_rm166, axiom, k6_xcmplx_0(k4_xcmplx_0(83), 83)=k4_xcmplx_0(166)).
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_rm81_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(83), k4_xcmplx_0(81))=k4_xcmplx_0(2)).
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__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__rn1d81_rn1d81_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 81), k7_xcmplx_0(1, 81))=0).
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(rqRealDiff__k6_xcmplx_0__rnm1d81_rn1d81_rnm2d81, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 81), k7_xcmplx_0(1, 81))=k7_xcmplx_0(k4_xcmplx_0(2), 81)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d81_rnm1d81_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 81), k7_xcmplx_0(k4_xcmplx_0(1), 81))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d81_rnm2d81_rn1d81, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 81), k7_xcmplx_0(k4_xcmplx_0(2), 81))=k7_xcmplx_0(1, 81)).
fof(rqRealDiff__k6_xcmplx_0__rnm2d81_rnm1d81_rnm1d81, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 81), k7_xcmplx_0(k4_xcmplx_0(1), 81))=k7_xcmplx_0(k4_xcmplx_0(1), 81)).
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_r81_rn1d81, axiom, k7_xcmplx_0(1, 81)=k7_xcmplx_0(1, 81)).
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_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_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_r165_r0, axiom, k3_xcmplx_0(0, 165)=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_r81_r0, axiom, k3_xcmplx_0(0, 81)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r82_r0, axiom, k3_xcmplx_0(0, 82)=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__r165_r0_r0, axiom, k3_xcmplx_0(165, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r166_r1_r166, axiom, k3_xcmplx_0(166, 1)=166).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r164_r164, axiom, k3_xcmplx_0(1, 164)=164).
fof(rqRealMult__k3_xcmplx_0__r1_r165_r165, axiom, k3_xcmplx_0(1, 165)=165).
fof(rqRealMult__k3_xcmplx_0__r1_r166_r166, axiom, k3_xcmplx_0(1, 166)=166).
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_r81_r81, axiom, k3_xcmplx_0(1, 81)=81).
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_rm166_rm166, axiom, k3_xcmplx_0(1, k4_xcmplx_0(166))=k4_xcmplx_0(166)).
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_rn1d81_rn1d81, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 81))=k7_xcmplx_0(1, 81)).
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_r82_r164, axiom, k3_xcmplx_0(2, 82)=164).
fof(rqRealMult__k3_xcmplx_0__r2_r83_r166, axiom, k3_xcmplx_0(2, 83)=166).
fof(rqRealMult__k3_xcmplx_0__r2_rm83_rm166, axiom, k3_xcmplx_0(2, k4_xcmplx_0(83))=k4_xcmplx_0(166)).
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__r81_r0_r0, axiom, k3_xcmplx_0(81, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r81_r1_r81, axiom, k3_xcmplx_0(81, 1)=81).
fof(rqRealMult__k3_xcmplx_0__r82_r0_r0, axiom, k3_xcmplx_0(82, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r82_r1_r82, axiom, k3_xcmplx_0(82, 1)=82).
fof(rqRealMult__k3_xcmplx_0__r82_r2_r164, axiom, k3_xcmplx_0(82, 2)=164).
fof(rqRealMult__k3_xcmplx_0__r83_r1_r83, axiom, k3_xcmplx_0(83, 1)=83).
fof(rqRealMult__k3_xcmplx_0__r83_r2_r166, axiom, k3_xcmplx_0(83, 2)=166).
fof(rqRealMult__k3_xcmplx_0__rm166_r1_rm166, axiom, k3_xcmplx_0(k4_xcmplx_0(166), 1)=k4_xcmplx_0(166)).
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_rm82_r164, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(82))=164).
fof(rqRealMult__k3_xcmplx_0__rm2_rm83_r166, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(83))=166).
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__rm81_r1_rm81, axiom, k3_xcmplx_0(k4_xcmplx_0(81), 1)=k4_xcmplx_0(81)).
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__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__rn1d81_r1_rn1d81, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 81), 1)=k7_xcmplx_0(1, 81)).
fof(rqRealMult__k3_xcmplx_0__rn1d81_r81_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 81), 81)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d81_rm2_rnm2d81, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 81), k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(2), 81)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r164_rm82, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 164)=k4_xcmplx_0(82)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r166_rm83, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 166)=k4_xcmplx_0(83)).
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_rm2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(2))=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(rqRealMult__k3_xcmplx_0__rnm2d81_r1_rnm2d81, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 81), 1)=k7_xcmplx_0(k4_xcmplx_0(2), 81)).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r164_rm164, axiom, k4_xcmplx_0(164)=k4_xcmplx_0(164)).
fof(rqRealNeg__k4_xcmplx_0__r165_rm165, axiom, k4_xcmplx_0(165)=k4_xcmplx_0(165)).
fof(rqRealNeg__k4_xcmplx_0__r166_rm166, axiom, k4_xcmplx_0(166)=k4_xcmplx_0(166)).
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__r81_rm81, axiom, k4_xcmplx_0(81)=k4_xcmplx_0(81)).
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__rm164_r164, axiom, k4_xcmplx_0(k4_xcmplx_0(164))=164).
fof(rqRealNeg__k4_xcmplx_0__rm165_r165, axiom, k4_xcmplx_0(k4_xcmplx_0(165))=165).
fof(rqRealNeg__k4_xcmplx_0__rm166_r166, axiom, k4_xcmplx_0(k4_xcmplx_0(166))=166).
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__rm81_r81, axiom, k4_xcmplx_0(k4_xcmplx_0(81))=81).
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__rn1d2_rnm1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealNeg__k4_xcmplx_0__rn1d81_rnm1d81, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 81))=k7_xcmplx_0(k4_xcmplx_0(1), 81)).
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(rqRealNeg__k4_xcmplx_0__rnm1d81_rn1d81, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 81))=k7_xcmplx_0(1, 81)).
fof(rqRealNeg__k4_xcmplx_0__rnm2d81_rn2d81, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(2), 81))=k7_xcmplx_0(2, 81)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc164_numerals, axiom,  (v2_xxreal_0(164) & m1_subset_1(164, k4_ordinal1)) ).
fof(spc165_numerals, axiom,  (v2_xxreal_0(165) & m1_subset_1(165, k4_ordinal1)) ).
fof(spc166_numerals, axiom,  (v2_xxreal_0(166) & m1_subset_1(166, 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(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(spc81_numerals, axiom,  (v2_xxreal_0(81) & m1_subset_1(81, k4_ordinal1)) ).
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) ) ).
