% Mizar problem: t451_xprimes0,xprimes0,3099,7 
fof(t451_xprimes0, conjecture,  ~ (v1_int_2(451)) ).
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_r10_rm10, axiom, k6_xcmplx_0(0, 10)=k4_xcmplx_0(10)).
fof(rqRealDiff__k6_xcmplx_0__r0_r11_rm11, axiom, k6_xcmplx_0(0, 11)=k4_xcmplx_0(11)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r30_rm30, axiom, k6_xcmplx_0(0, 30)=k4_xcmplx_0(30)).
fof(rqRealDiff__k6_xcmplx_0__r0_r40_rm40, axiom, k6_xcmplx_0(0, 40)=k4_xcmplx_0(40)).
fof(rqRealDiff__k6_xcmplx_0__r0_r410_rm410, axiom, k6_xcmplx_0(0, 410)=k4_xcmplx_0(410)).
fof(rqRealDiff__k6_xcmplx_0__r0_r41_rm41, axiom, k6_xcmplx_0(0, 41)=k4_xcmplx_0(41)).
fof(rqRealDiff__k6_xcmplx_0__r0_r440_rm440, axiom, k6_xcmplx_0(0, 440)=k4_xcmplx_0(440)).
fof(rqRealDiff__k6_xcmplx_0__r0_r450_rm450, axiom, k6_xcmplx_0(0, 450)=k4_xcmplx_0(450)).
fof(rqRealDiff__k6_xcmplx_0__r0_r451_rm451, axiom, k6_xcmplx_0(0, 451)=k4_xcmplx_0(451)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm10_r10, axiom, k6_xcmplx_0(0, k4_xcmplx_0(10))=10).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d10_rnm1d10, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 10))=k7_xcmplx_0(k4_xcmplx_0(1), 10)).
fof(rqRealDiff__k6_xcmplx_0__r10_r0_r10, axiom, k6_xcmplx_0(10, 0)=10).
fof(rqRealDiff__k6_xcmplx_0__r10_r10_r0, axiom, k6_xcmplx_0(10, 10)=0).
fof(rqRealDiff__k6_xcmplx_0__r10_r11_rm1, axiom, k6_xcmplx_0(10, 11)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r10_r40_rm30, axiom, k6_xcmplx_0(10, 40)=k4_xcmplx_0(30)).
fof(rqRealDiff__k6_xcmplx_0__r10_rm1_r11, axiom, k6_xcmplx_0(10, k4_xcmplx_0(1))=11).
fof(rqRealDiff__k6_xcmplx_0__r11_r0_r11, axiom, k6_xcmplx_0(11, 0)=11).
fof(rqRealDiff__k6_xcmplx_0__r11_r10_r1, axiom, k6_xcmplx_0(11, 10)=1).
fof(rqRealDiff__k6_xcmplx_0__r11_r11_r0, axiom, k6_xcmplx_0(11, 11)=0).
fof(rqRealDiff__k6_xcmplx_0__r11_r1_r10, axiom, k6_xcmplx_0(11, 1)=10).
fof(rqRealDiff__k6_xcmplx_0__r11_r41_rm30, axiom, k6_xcmplx_0(11, 41)=k4_xcmplx_0(30)).
fof(rqRealDiff__k6_xcmplx_0__r11_r451_rm440, axiom, k6_xcmplx_0(11, 451)=k4_xcmplx_0(440)).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r11_rm10, axiom, k6_xcmplx_0(1, 11)=k4_xcmplx_0(10)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r41_rm40, axiom, k6_xcmplx_0(1, 41)=k4_xcmplx_0(40)).
fof(rqRealDiff__k6_xcmplx_0__r1_r451_rm450, axiom, k6_xcmplx_0(1, 451)=k4_xcmplx_0(450)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm10_r11, axiom, k6_xcmplx_0(1, k4_xcmplx_0(10))=11).
fof(rqRealDiff__k6_xcmplx_0__r1_rm40_r41, axiom, k6_xcmplx_0(1, k4_xcmplx_0(40))=41).
fof(rqRealDiff__k6_xcmplx_0__r1_rnm1d10_rn11d10, axiom, k6_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 10))=k7_xcmplx_0(11, 10)).
fof(rqRealDiff__k6_xcmplx_0__r30_r0_r30, axiom, k6_xcmplx_0(30, 0)=30).
fof(rqRealDiff__k6_xcmplx_0__r30_r30_r0, axiom, k6_xcmplx_0(30, 30)=0).
fof(rqRealDiff__k6_xcmplx_0__r30_r40_rm10, axiom, k6_xcmplx_0(30, 40)=k4_xcmplx_0(10)).
fof(rqRealDiff__k6_xcmplx_0__r30_r440_rm410, axiom, k6_xcmplx_0(30, 440)=k4_xcmplx_0(410)).
fof(rqRealDiff__k6_xcmplx_0__r30_rm10_r40, axiom, k6_xcmplx_0(30, k4_xcmplx_0(10))=40).
fof(rqRealDiff__k6_xcmplx_0__r40_r0_r40, axiom, k6_xcmplx_0(40, 0)=40).
fof(rqRealDiff__k6_xcmplx_0__r40_r10_r30, axiom, k6_xcmplx_0(40, 10)=30).
fof(rqRealDiff__k6_xcmplx_0__r40_r30_r10, axiom, k6_xcmplx_0(40, 30)=10).
fof(rqRealDiff__k6_xcmplx_0__r40_r40_r0, axiom, k6_xcmplx_0(40, 40)=0).
fof(rqRealDiff__k6_xcmplx_0__r40_rm1_r41, axiom, k6_xcmplx_0(40, k4_xcmplx_0(1))=41).
fof(rqRealDiff__k6_xcmplx_0__r410_r0_r410, axiom, k6_xcmplx_0(410, 0)=410).
fof(rqRealDiff__k6_xcmplx_0__r41_r0_r41, axiom, k6_xcmplx_0(41, 0)=41).
fof(rqRealDiff__k6_xcmplx_0__r41_r11_r30, axiom, k6_xcmplx_0(41, 11)=30).
fof(rqRealDiff__k6_xcmplx_0__r41_r1_r40, axiom, k6_xcmplx_0(41, 1)=40).
fof(rqRealDiff__k6_xcmplx_0__r41_r30_r11, axiom, k6_xcmplx_0(41, 30)=11).
fof(rqRealDiff__k6_xcmplx_0__r41_r40_r1, axiom, k6_xcmplx_0(41, 40)=1).
fof(rqRealDiff__k6_xcmplx_0__r41_r41_r0, axiom, k6_xcmplx_0(41, 41)=0).
fof(rqRealDiff__k6_xcmplx_0__r440_r0_r440, axiom, k6_xcmplx_0(440, 0)=440).
fof(rqRealDiff__k6_xcmplx_0__r450_r0_r450, axiom, k6_xcmplx_0(450, 0)=450).
fof(rqRealDiff__k6_xcmplx_0__r451_r0_r451, axiom, k6_xcmplx_0(451, 0)=451).
fof(rqRealDiff__k6_xcmplx_0__r451_r11_r440, axiom, k6_xcmplx_0(451, 11)=440).
fof(rqRealDiff__k6_xcmplx_0__r451_r1_r450, axiom, k6_xcmplx_0(451, 1)=450).
fof(rqRealDiff__k6_xcmplx_0__r451_r41_r410, axiom, k6_xcmplx_0(451, 41)=410).
fof(rqRealDiff__k6_xcmplx_0__rm10_r0_rm10, axiom, k6_xcmplx_0(k4_xcmplx_0(10), 0)=k4_xcmplx_0(10)).
fof(rqRealDiff__k6_xcmplx_0__rm10_r1_rm11, axiom, k6_xcmplx_0(k4_xcmplx_0(10), 1)=k4_xcmplx_0(11)).
fof(rqRealDiff__k6_xcmplx_0__rm10_r30_rm40, axiom, k6_xcmplx_0(k4_xcmplx_0(10), 30)=k4_xcmplx_0(40)).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm10_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(10), k4_xcmplx_0(10))=0).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm11_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(10), k4_xcmplx_0(11))=1).
fof(rqRealDiff__k6_xcmplx_0__rm10_rm40_r30, axiom, k6_xcmplx_0(k4_xcmplx_0(10), k4_xcmplx_0(40))=30).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm10_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(11), k4_xcmplx_0(10))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm11_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(11), k4_xcmplx_0(11))=0).
fof(rqRealDiff__k6_xcmplx_0__rm11_rm1_rm10, axiom, k6_xcmplx_0(k4_xcmplx_0(11), k4_xcmplx_0(1))=k4_xcmplx_0(10)).
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_r10_rm11, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 10)=k4_xcmplx_0(11)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r40_rm41, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 40)=k4_xcmplx_0(41)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm11_r10, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(11))=10).
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_rm41_r40, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(41))=40).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm451_r450, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(451))=450).
fof(rqRealDiff__k6_xcmplx_0__rm1_rn1d10_rnm11d10, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(1, 10))=k7_xcmplx_0(k4_xcmplx_0(11), 10)).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm30_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(30), k4_xcmplx_0(30))=0).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm40_r10, axiom, k6_xcmplx_0(k4_xcmplx_0(30), k4_xcmplx_0(40))=10).
fof(rqRealDiff__k6_xcmplx_0__rm30_rm41_r11, axiom, k6_xcmplx_0(k4_xcmplx_0(30), k4_xcmplx_0(41))=11).
fof(rqRealDiff__k6_xcmplx_0__rm40_r0_rm40, axiom, k6_xcmplx_0(k4_xcmplx_0(40), 0)=k4_xcmplx_0(40)).
fof(rqRealDiff__k6_xcmplx_0__rm40_r1_rm41, axiom, k6_xcmplx_0(k4_xcmplx_0(40), 1)=k4_xcmplx_0(41)).
fof(rqRealDiff__k6_xcmplx_0__rm40_rm10_rm30, axiom, k6_xcmplx_0(k4_xcmplx_0(40), k4_xcmplx_0(10))=k4_xcmplx_0(30)).
fof(rqRealDiff__k6_xcmplx_0__rm40_rm40_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(40), k4_xcmplx_0(40))=0).
fof(rqRealDiff__k6_xcmplx_0__rm410_r0_rm410, axiom, k6_xcmplx_0(k4_xcmplx_0(410), 0)=k4_xcmplx_0(410)).
fof(rqRealDiff__k6_xcmplx_0__rm410_rm410_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(410), k4_xcmplx_0(410))=0).
fof(rqRealDiff__k6_xcmplx_0__rm41_r0_rm41, axiom, k6_xcmplx_0(k4_xcmplx_0(41), 0)=k4_xcmplx_0(41)).
fof(rqRealDiff__k6_xcmplx_0__rm41_rm11_rm30, axiom, k6_xcmplx_0(k4_xcmplx_0(41), k4_xcmplx_0(11))=k4_xcmplx_0(30)).
fof(rqRealDiff__k6_xcmplx_0__rm41_rm1_rm40, axiom, k6_xcmplx_0(k4_xcmplx_0(41), k4_xcmplx_0(1))=k4_xcmplx_0(40)).
fof(rqRealDiff__k6_xcmplx_0__rm41_rm30_rm11, axiom, k6_xcmplx_0(k4_xcmplx_0(41), k4_xcmplx_0(30))=k4_xcmplx_0(11)).
fof(rqRealDiff__k6_xcmplx_0__rm41_rm40_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(41), k4_xcmplx_0(40))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm41_rm41_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(41), k4_xcmplx_0(41))=0).
fof(rqRealDiff__k6_xcmplx_0__rm440_r0_rm440, axiom, k6_xcmplx_0(k4_xcmplx_0(440), 0)=k4_xcmplx_0(440)).
fof(rqRealDiff__k6_xcmplx_0__rm440_rm30_rm410, axiom, k6_xcmplx_0(k4_xcmplx_0(440), k4_xcmplx_0(30))=k4_xcmplx_0(410)).
fof(rqRealDiff__k6_xcmplx_0__rm440_rm440_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(440), k4_xcmplx_0(440))=0).
fof(rqRealDiff__k6_xcmplx_0__rm450_r0_rm450, axiom, k6_xcmplx_0(k4_xcmplx_0(450), 0)=k4_xcmplx_0(450)).
fof(rqRealDiff__k6_xcmplx_0__rm450_r1_rm451, axiom, k6_xcmplx_0(k4_xcmplx_0(450), 1)=k4_xcmplx_0(451)).
fof(rqRealDiff__k6_xcmplx_0__rm450_rm450_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(450), k4_xcmplx_0(450))=0).
fof(rqRealDiff__k6_xcmplx_0__rm451_r0_rm451, axiom, k6_xcmplx_0(k4_xcmplx_0(451), 0)=k4_xcmplx_0(451)).
fof(rqRealDiff__k6_xcmplx_0__rm451_rm1_rm450, axiom, k6_xcmplx_0(k4_xcmplx_0(451), k4_xcmplx_0(1))=k4_xcmplx_0(450)).
fof(rqRealDiff__k6_xcmplx_0__rm451_rm450_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(451), k4_xcmplx_0(450))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm451_rm451_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(451), k4_xcmplx_0(451))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d10_r0_rn1d10, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 10), 0)=k7_xcmplx_0(1, 10)).
fof(rqRealDiff__k6_xcmplx_0__rn1d10_rm1_rn11d10, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 10), k4_xcmplx_0(1))=k7_xcmplx_0(11, 10)).
fof(rqRealDiff__k6_xcmplx_0__rn1d10_rn1d10_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 10), k7_xcmplx_0(1, 10))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d11_r1_rnm10d11, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 11), 1)=k7_xcmplx_0(k4_xcmplx_0(10), 11)).
fof(rqRealDiff__k6_xcmplx_0__rn1d11_rn1d11_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 11), k7_xcmplx_0(1, 11))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d10_r1_rnm11d10, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 10), 1)=k7_xcmplx_0(k4_xcmplx_0(11), 10)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d10_rnm1d10_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 10), k7_xcmplx_0(k4_xcmplx_0(1), 10))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d11_rnm1d11_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 11), k7_xcmplx_0(k4_xcmplx_0(1), 11))=0).
fof(rqRealDiff__k6_xcmplx_0__rnm1d30_rnm1d30_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 30), k7_xcmplx_0(k4_xcmplx_0(1), 30))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r10_rn1d10, axiom, k7_xcmplx_0(1, 10)=k7_xcmplx_0(1, 10)).
fof(rqRealDiv__k7_xcmplx_0__r1_r11_rn1d11, axiom, k7_xcmplx_0(1, 11)=k7_xcmplx_0(1, 11)).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r30_rn1d30, axiom, k7_xcmplx_0(1, 30)=k7_xcmplx_0(1, 30)).
fof(rqRealDiv__k7_xcmplx_0__r1_r41_rn1d41, axiom, k7_xcmplx_0(1, 41)=k7_xcmplx_0(1, 41)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm10_rnm1d10, axiom, k7_xcmplx_0(1, k4_xcmplx_0(10))=k7_xcmplx_0(k4_xcmplx_0(1), 10)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm11_rnm1d11, axiom, k7_xcmplx_0(1, k4_xcmplx_0(11))=k7_xcmplx_0(k4_xcmplx_0(1), 11)).
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_rm41_rnm1d41, axiom, k7_xcmplx_0(1, k4_xcmplx_0(41))=k7_xcmplx_0(k4_xcmplx_0(1), 41)).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d30_rm30, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 30))=k4_xcmplx_0(30)).
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_r10_r0, axiom, k3_xcmplx_0(0, 10)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r11_r0, axiom, k3_xcmplx_0(0, 11)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r30_r0, axiom, k3_xcmplx_0(0, 30)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r410_r0, axiom, k3_xcmplx_0(0, 410)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r440_r0, axiom, k3_xcmplx_0(0, 440)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r450_r0, axiom, k3_xcmplx_0(0, 450)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r451_r0, axiom, k3_xcmplx_0(0, 451)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d30_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 30))=0).
fof(rqRealMult__k3_xcmplx_0__r10_r0_r0, axiom, k3_xcmplx_0(10, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r10_r1_r10, axiom, k3_xcmplx_0(10, 1)=10).
fof(rqRealMult__k3_xcmplx_0__r10_r41_r410, axiom, k3_xcmplx_0(10, 41)=410).
fof(rqRealMult__k3_xcmplx_0__r10_rm41_rm410, axiom, k3_xcmplx_0(10, k4_xcmplx_0(41))=k4_xcmplx_0(410)).
fof(rqRealMult__k3_xcmplx_0__r10_rn1d10_r1, axiom, k3_xcmplx_0(10, k7_xcmplx_0(1, 10))=1).
fof(rqRealMult__k3_xcmplx_0__r10_rnm1d10_rm1, axiom, k3_xcmplx_0(10, k7_xcmplx_0(k4_xcmplx_0(1), 10))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r11_r0_r0, axiom, k3_xcmplx_0(11, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r11_r1_r11, axiom, k3_xcmplx_0(11, 1)=11).
fof(rqRealMult__k3_xcmplx_0__r11_r40_r440, axiom, k3_xcmplx_0(11, 40)=440).
fof(rqRealMult__k3_xcmplx_0__r11_r41_r451, axiom, k3_xcmplx_0(11, 41)=451).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r10_r10, axiom, k3_xcmplx_0(1, 10)=10).
fof(rqRealMult__k3_xcmplx_0__r1_r11_r11, axiom, k3_xcmplx_0(1, 11)=11).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r30_r30, axiom, k3_xcmplx_0(1, 30)=30).
fof(rqRealMult__k3_xcmplx_0__r1_r40_r40, axiom, k3_xcmplx_0(1, 40)=40).
fof(rqRealMult__k3_xcmplx_0__r1_r410_r410, axiom, k3_xcmplx_0(1, 410)=410).
fof(rqRealMult__k3_xcmplx_0__r1_r41_r41, axiom, k3_xcmplx_0(1, 41)=41).
fof(rqRealMult__k3_xcmplx_0__r1_r440_r440, axiom, k3_xcmplx_0(1, 440)=440).
fof(rqRealMult__k3_xcmplx_0__r1_r450_r450, axiom, k3_xcmplx_0(1, 450)=450).
fof(rqRealMult__k3_xcmplx_0__r1_r451_r451, axiom, k3_xcmplx_0(1, 451)=451).
fof(rqRealMult__k3_xcmplx_0__r1_rm10_rm10, axiom, k3_xcmplx_0(1, k4_xcmplx_0(10))=k4_xcmplx_0(10)).
fof(rqRealMult__k3_xcmplx_0__r1_rm11_rm11, axiom, k3_xcmplx_0(1, k4_xcmplx_0(11))=k4_xcmplx_0(11)).
fof(rqRealMult__k3_xcmplx_0__r1_rm30_rm30, axiom, k3_xcmplx_0(1, k4_xcmplx_0(30))=k4_xcmplx_0(30)).
fof(rqRealMult__k3_xcmplx_0__r1_rm40_rm40, axiom, k3_xcmplx_0(1, k4_xcmplx_0(40))=k4_xcmplx_0(40)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d10_rn1d10, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 10))=k7_xcmplx_0(1, 10)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d11_rn1d11, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 11))=k7_xcmplx_0(1, 11)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d30_rn1d30, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 30))=k7_xcmplx_0(1, 30)).
fof(rqRealMult__k3_xcmplx_0__r30_r0_r0, axiom, k3_xcmplx_0(30, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r30_r1_r30, axiom, k3_xcmplx_0(30, 1)=30).
fof(rqRealMult__k3_xcmplx_0__r30_rn1d30_r1, axiom, k3_xcmplx_0(30, k7_xcmplx_0(1, 30))=1).
fof(rqRealMult__k3_xcmplx_0__r40_r11_r440, axiom, k3_xcmplx_0(40, 11)=440).
fof(rqRealMult__k3_xcmplx_0__r40_r1_r40, axiom, k3_xcmplx_0(40, 1)=40).
fof(rqRealMult__k3_xcmplx_0__r410_r0_r0, axiom, k3_xcmplx_0(410, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r410_r1_r410, axiom, k3_xcmplx_0(410, 1)=410).
fof(rqRealMult__k3_xcmplx_0__r41_r10_r410, axiom, k3_xcmplx_0(41, 10)=410).
fof(rqRealMult__k3_xcmplx_0__r41_r11_r451, axiom, k3_xcmplx_0(41, 11)=451).
fof(rqRealMult__k3_xcmplx_0__r41_r1_r41, axiom, k3_xcmplx_0(41, 1)=41).
fof(rqRealMult__k3_xcmplx_0__r440_r0_r0, axiom, k3_xcmplx_0(440, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r450_r0_r0, axiom, k3_xcmplx_0(450, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r451_r0_r0, axiom, k3_xcmplx_0(451, 0)=0).
fof(rqRealMult__k3_xcmplx_0__rm10_r1_rm10, axiom, k3_xcmplx_0(k4_xcmplx_0(10), 1)=k4_xcmplx_0(10)).
fof(rqRealMult__k3_xcmplx_0__rm10_rn1d10_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(10), k7_xcmplx_0(1, 10))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm10_rnm1d10_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(10), k7_xcmplx_0(k4_xcmplx_0(1), 10))=1).
fof(rqRealMult__k3_xcmplx_0__rm11_r1_rm11, axiom, k3_xcmplx_0(k4_xcmplx_0(11), 1)=k4_xcmplx_0(11)).
fof(rqRealMult__k3_xcmplx_0__rm11_rm41_r451, axiom, k3_xcmplx_0(k4_xcmplx_0(11), k4_xcmplx_0(41))=451).
fof(rqRealMult__k3_xcmplx_0__rm11_rn1d10_rnm11d10, axiom, k3_xcmplx_0(k4_xcmplx_0(11), k7_xcmplx_0(1, 10))=k7_xcmplx_0(k4_xcmplx_0(11), 10)).
fof(rqRealMult__k3_xcmplx_0__rm11_rnm10d11_r10, axiom, k3_xcmplx_0(k4_xcmplx_0(11), k7_xcmplx_0(k4_xcmplx_0(10), 11))=10).
fof(rqRealMult__k3_xcmplx_0__rm11_rnm1d11_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(11), k7_xcmplx_0(k4_xcmplx_0(1), 11))=1).
fof(rqRealMult__k3_xcmplx_0__rm30_r1_rm30, axiom, k3_xcmplx_0(k4_xcmplx_0(30), 1)=k4_xcmplx_0(30)).
fof(rqRealMult__k3_xcmplx_0__rm30_rn1d30_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(30), k7_xcmplx_0(1, 30))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm30_rnm1d30_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(30), k7_xcmplx_0(k4_xcmplx_0(1), 30))=1).
fof(rqRealMult__k3_xcmplx_0__rm40_r1_rm40, axiom, k3_xcmplx_0(k4_xcmplx_0(40), 1)=k4_xcmplx_0(40)).
fof(rqRealMult__k3_xcmplx_0__rm41_r1_rm41, axiom, k3_xcmplx_0(k4_xcmplx_0(41), 1)=k4_xcmplx_0(41)).
fof(rqRealMult__k3_xcmplx_0__rn11d10_r1_rn11d10, axiom, k3_xcmplx_0(k7_xcmplx_0(11, 10), 1)=k7_xcmplx_0(11, 10)).
fof(rqRealMult__k3_xcmplx_0__rn1d10_r10_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 10), 10)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d10_r1_rn1d10, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 10), 1)=k7_xcmplx_0(1, 10)).
fof(rqRealMult__k3_xcmplx_0__rn1d10_rm10_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 10), k4_xcmplx_0(10))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rn1d11_r1_rn1d11, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 11), 1)=k7_xcmplx_0(1, 11)).
fof(rqRealMult__k3_xcmplx_0__rn1d30_r1_rn1d30, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 30), 1)=k7_xcmplx_0(1, 30)).
fof(rqRealMult__k3_xcmplx_0__rn1d30_r30_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 30), 30)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d41_r41_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 41), 41)=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d10_r10_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 10), 10)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d10_r1_rnm1d10, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 10), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 10)).
fof(rqRealMult__k3_xcmplx_0__rnm1d10_rm10_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 10), k4_xcmplx_0(10))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d11_r10_rnm10d11, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 11), 10)=k7_xcmplx_0(k4_xcmplx_0(10), 11)).
fof(rqRealMult__k3_xcmplx_0__rnm1d11_r11_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 11), 11)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d11_r1_rnm1d11, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 11), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 11)).
fof(rqRealMult__k3_xcmplx_0__rnm1d11_r451_rm41, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 11), 451)=k4_xcmplx_0(41)).
fof(rqRealMult__k3_xcmplx_0__rnm1d11_rm10_rn10d11, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 11), k4_xcmplx_0(10))=k7_xcmplx_0(10, 11)).
fof(rqRealMult__k3_xcmplx_0__rnm1d11_rm11_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 11), k4_xcmplx_0(11))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d30_r1_rnm1d30, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 30), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 30)).
fof(rqRealMult__k3_xcmplx_0__rnm1d41_rm41_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 41), k4_xcmplx_0(41))=1).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r10_rm10, axiom, k4_xcmplx_0(10)=k4_xcmplx_0(10)).
fof(rqRealNeg__k4_xcmplx_0__r11_rm11, axiom, k4_xcmplx_0(11)=k4_xcmplx_0(11)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r30_rm30, axiom, k4_xcmplx_0(30)=k4_xcmplx_0(30)).
fof(rqRealNeg__k4_xcmplx_0__r40_rm40, axiom, k4_xcmplx_0(40)=k4_xcmplx_0(40)).
fof(rqRealNeg__k4_xcmplx_0__r410_rm410, axiom, k4_xcmplx_0(410)=k4_xcmplx_0(410)).
fof(rqRealNeg__k4_xcmplx_0__r41_rm41, axiom, k4_xcmplx_0(41)=k4_xcmplx_0(41)).
fof(rqRealNeg__k4_xcmplx_0__r440_rm440, axiom, k4_xcmplx_0(440)=k4_xcmplx_0(440)).
fof(rqRealNeg__k4_xcmplx_0__r450_rm450, axiom, k4_xcmplx_0(450)=k4_xcmplx_0(450)).
fof(rqRealNeg__k4_xcmplx_0__r451_rm451, axiom, k4_xcmplx_0(451)=k4_xcmplx_0(451)).
fof(rqRealNeg__k4_xcmplx_0__rm10_r10, axiom, k4_xcmplx_0(k4_xcmplx_0(10))=10).
fof(rqRealNeg__k4_xcmplx_0__rm11_r11, axiom, k4_xcmplx_0(k4_xcmplx_0(11))=11).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm30_r30, axiom, k4_xcmplx_0(k4_xcmplx_0(30))=30).
fof(rqRealNeg__k4_xcmplx_0__rm40_r40, axiom, k4_xcmplx_0(k4_xcmplx_0(40))=40).
fof(rqRealNeg__k4_xcmplx_0__rm410_r410, axiom, k4_xcmplx_0(k4_xcmplx_0(410))=410).
fof(rqRealNeg__k4_xcmplx_0__rm41_r41, axiom, k4_xcmplx_0(k4_xcmplx_0(41))=41).
fof(rqRealNeg__k4_xcmplx_0__rm440_r440, axiom, k4_xcmplx_0(k4_xcmplx_0(440))=440).
fof(rqRealNeg__k4_xcmplx_0__rm450_r450, axiom, k4_xcmplx_0(k4_xcmplx_0(450))=450).
fof(rqRealNeg__k4_xcmplx_0__rm451_r451, axiom, k4_xcmplx_0(k4_xcmplx_0(451))=451).
fof(rqRealNeg__k4_xcmplx_0__rn1d10_rnm1d10, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 10))=k7_xcmplx_0(k4_xcmplx_0(1), 10)).
fof(rqRealNeg__k4_xcmplx_0__rn1d11_rnm1d11, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 11))=k7_xcmplx_0(k4_xcmplx_0(1), 11)).
fof(rqRealNeg__k4_xcmplx_0__rn1d30_rnm1d30, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 30))=k7_xcmplx_0(k4_xcmplx_0(1), 30)).
fof(rqRealNeg__k4_xcmplx_0__rnm11d10_rn11d10, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(11), 10))=k7_xcmplx_0(11, 10)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d10_rn1d10, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 10))=k7_xcmplx_0(1, 10)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d11_rn1d11, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 11))=k7_xcmplx_0(1, 11)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d30_rn1d30, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 30))=k7_xcmplx_0(1, 30)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc10_numerals, axiom,  (v2_xxreal_0(10) & m1_subset_1(10, k4_ordinal1)) ).
fof(spc11_numerals, axiom,  (v2_xxreal_0(11) & m1_subset_1(11, 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(spc30_numerals, axiom,  (v2_xxreal_0(30) & m1_subset_1(30, k4_ordinal1)) ).
fof(spc40_numerals, axiom,  (v2_xxreal_0(40) & m1_subset_1(40, k4_ordinal1)) ).
fof(spc410_numerals, axiom,  (v2_xxreal_0(410) & m1_subset_1(410, k4_ordinal1)) ).
fof(spc41_numerals, axiom,  (v2_xxreal_0(41) & m1_subset_1(41, k4_ordinal1)) ).
fof(spc440_numerals, axiom,  (v2_xxreal_0(440) & m1_subset_1(440, k4_ordinal1)) ).
fof(spc450_numerals, axiom,  (v2_xxreal_0(450) & m1_subset_1(450, k4_ordinal1)) ).
fof(spc451_numerals, axiom,  (v2_xxreal_0(451) & m1_subset_1(451, 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(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) ) ).
