% Mizar problem: t1573_xprimes0,xprimes0,11109,7 
fof(t1573_xprimes0, conjecture,  ~ (v1_int_2(1573)) ).
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_r132_rm132, axiom, k6_xcmplx_0(0, 132)=k4_xcmplx_0(132)).
fof(rqRealDiff__k6_xcmplx_0__r0_r142_rm142, axiom, k6_xcmplx_0(0, 142)=k4_xcmplx_0(142)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1430_rm1430, axiom, k6_xcmplx_0(0, 1430)=k4_xcmplx_0(1430)).
fof(rqRealDiff__k6_xcmplx_0__r0_r143_rm143, axiom, k6_xcmplx_0(0, 143)=k4_xcmplx_0(143)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
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_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_r143_rm132, axiom, k6_xcmplx_0(11, 143)=k4_xcmplx_0(132)).
fof(rqRealDiff__k6_xcmplx_0__r11_r1573_rm1562, axiom, k6_xcmplx_0(11, 1573)=k4_xcmplx_0(1562)).
fof(rqRealDiff__k6_xcmplx_0__r11_r1_r10, axiom, k6_xcmplx_0(11, 1)=10).
fof(rqRealDiff__k6_xcmplx_0__r132_r0_r132, axiom, k6_xcmplx_0(132, 0)=132).
fof(rqRealDiff__k6_xcmplx_0__r132_r132_r0, axiom, k6_xcmplx_0(132, 132)=0).
fof(rqRealDiff__k6_xcmplx_0__r142_r0_r142, axiom, k6_xcmplx_0(142, 0)=142).
fof(rqRealDiff__k6_xcmplx_0__r1430_r0_r1430, axiom, k6_xcmplx_0(1430, 0)=1430).
fof(rqRealDiff__k6_xcmplx_0__r143_r0_r143, axiom, k6_xcmplx_0(143, 0)=143).
fof(rqRealDiff__k6_xcmplx_0__r143_r11_r132, axiom, k6_xcmplx_0(143, 11)=132).
fof(rqRealDiff__k6_xcmplx_0__r143_r132_r11, axiom, k6_xcmplx_0(143, 132)=11).
fof(rqRealDiff__k6_xcmplx_0__r143_r143_r0, axiom, k6_xcmplx_0(143, 143)=0).
fof(rqRealDiff__k6_xcmplx_0__r143_r1_r142, axiom, k6_xcmplx_0(143, 1)=142).
fof(rqRealDiff__k6_xcmplx_0__r1573_r11_r1562, axiom, k6_xcmplx_0(1573, 11)=1562).
fof(rqRealDiff__k6_xcmplx_0__r1573_r143_r1430, axiom, k6_xcmplx_0(1573, 143)=1430).
fof(rqRealDiff__k6_xcmplx_0__r1573_r1_r1572, axiom, k6_xcmplx_0(1573, 1)=1572).
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_r143_rm142, axiom, k6_xcmplx_0(1, 143)=k4_xcmplx_0(142)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1573_rm1572, axiom, k6_xcmplx_0(1, 1573)=k4_xcmplx_0(1572)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_rm10_r11, axiom, k6_xcmplx_0(1, k4_xcmplx_0(10))=11).
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__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_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__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__rm132_rm132_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(132), k4_xcmplx_0(132))=0).
fof(rqRealDiff__k6_xcmplx_0__rm142_r0_rm142, axiom, k6_xcmplx_0(k4_xcmplx_0(142), 0)=k4_xcmplx_0(142)).
fof(rqRealDiff__k6_xcmplx_0__rm142_r1_rm143, axiom, k6_xcmplx_0(k4_xcmplx_0(142), 1)=k4_xcmplx_0(143)).
fof(rqRealDiff__k6_xcmplx_0__rm142_rm142_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(142), k4_xcmplx_0(142))=0).
fof(rqRealDiff__k6_xcmplx_0__rm143_r0_rm143, axiom, k6_xcmplx_0(k4_xcmplx_0(143), 0)=k4_xcmplx_0(143)).
fof(rqRealDiff__k6_xcmplx_0__rm143_rm142_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(143), k4_xcmplx_0(142))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm143_rm143_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(143), k4_xcmplx_0(143))=0).
fof(rqRealDiff__k6_xcmplx_0__rm143_rm1_rm142, axiom, k6_xcmplx_0(k4_xcmplx_0(143), k4_xcmplx_0(1))=k4_xcmplx_0(142)).
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_rm11_r10, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(11))=10).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm143_r142, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(143))=142).
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_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__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(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_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__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__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_rm143_rm1430, axiom, k3_xcmplx_0(10, k4_xcmplx_0(143))=k4_xcmplx_0(1430)).
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_r142_r1562, axiom, k3_xcmplx_0(11, 142)=1562).
fof(rqRealMult__k3_xcmplx_0__r11_r143_r1573, axiom, k3_xcmplx_0(11, 143)=1573).
fof(rqRealMult__k3_xcmplx_0__r11_r1_r11, axiom, k3_xcmplx_0(11, 1)=11).
fof(rqRealMult__k3_xcmplx_0__r132_r1_r132, axiom, k3_xcmplx_0(132, 1)=132).
fof(rqRealMult__k3_xcmplx_0__r142_r11_r1562, axiom, k3_xcmplx_0(142, 11)=1562).
fof(rqRealMult__k3_xcmplx_0__r142_r1_r142, axiom, k3_xcmplx_0(142, 1)=142).
fof(rqRealMult__k3_xcmplx_0__r143_r11_r1573, axiom, k3_xcmplx_0(143, 11)=1573).
fof(rqRealMult__k3_xcmplx_0__r143_r1_r143, axiom, k3_xcmplx_0(143, 1)=143).
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_r132_r132, axiom, k3_xcmplx_0(1, 132)=132).
fof(rqRealMult__k3_xcmplx_0__r1_r142_r142, axiom, k3_xcmplx_0(1, 142)=142).
fof(rqRealMult__k3_xcmplx_0__r1_r143_r143, axiom, k3_xcmplx_0(1, 143)=143).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
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_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__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_rm143_r1573, axiom, k3_xcmplx_0(k4_xcmplx_0(11), k4_xcmplx_0(143))=1573).
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__rm132_r1_rm132, axiom, k3_xcmplx_0(k4_xcmplx_0(132), 1)=k4_xcmplx_0(132)).
fof(rqRealMult__k3_xcmplx_0__rm143_r1_rm143, axiom, k3_xcmplx_0(k4_xcmplx_0(143), 1)=k4_xcmplx_0(143)).
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__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_r1573_rm143, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 11), 1573)=k4_xcmplx_0(143)).
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_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(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__r132_rm132, axiom, k4_xcmplx_0(132)=k4_xcmplx_0(132)).
fof(rqRealNeg__k4_xcmplx_0__r142_rm142, axiom, k4_xcmplx_0(142)=k4_xcmplx_0(142)).
fof(rqRealNeg__k4_xcmplx_0__r1430_rm1430, axiom, k4_xcmplx_0(1430)=k4_xcmplx_0(1430)).
fof(rqRealNeg__k4_xcmplx_0__r143_rm143, axiom, k4_xcmplx_0(143)=k4_xcmplx_0(143)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
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__rm132_r132, axiom, k4_xcmplx_0(k4_xcmplx_0(132))=132).
fof(rqRealNeg__k4_xcmplx_0__rm142_r142, axiom, k4_xcmplx_0(k4_xcmplx_0(142))=142).
fof(rqRealNeg__k4_xcmplx_0__rm1430_r1430, axiom, k4_xcmplx_0(k4_xcmplx_0(1430))=1430).
fof(rqRealNeg__k4_xcmplx_0__rm143_r143, axiom, k4_xcmplx_0(k4_xcmplx_0(143))=143).
fof(rqRealNeg__k4_xcmplx_0__rm1562_r1562, axiom, k4_xcmplx_0(k4_xcmplx_0(1562))=1562).
fof(rqRealNeg__k4_xcmplx_0__rm1572_r1572, axiom, k4_xcmplx_0(k4_xcmplx_0(1572))=1572).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
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__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(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(spc132_numerals, axiom,  (v2_xxreal_0(132) & m1_subset_1(132, k4_ordinal1)) ).
fof(spc142_numerals, axiom,  (v2_xxreal_0(142) & m1_subset_1(142, k4_ordinal1)) ).
fof(spc1430_numerals, axiom,  (v2_xxreal_0(1430) & m1_subset_1(1430, k4_ordinal1)) ).
fof(spc143_numerals, axiom,  (v2_xxreal_0(143) & m1_subset_1(143, k4_ordinal1)) ).
fof(spc1562_numerals, axiom,  (v2_xxreal_0(1562) & m1_subset_1(1562, k4_ordinal1)) ).
fof(spc1572_numerals, axiom,  (v2_xxreal_0(1572) & m1_subset_1(1572, k4_ordinal1)) ).
fof(spc1573_numerals, axiom,  (v2_xxreal_0(1573) & m1_subset_1(1573, 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(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) ) ).
