% Mizar problem: t1177_xprimes0,xprimes0,8271,7 
fof(t1177_xprimes0, conjecture,  ~ (v1_int_2(1177)) ).
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_r106_rm106, axiom, k6_xcmplx_0(0, 106)=k4_xcmplx_0(106)).
fof(rqRealDiff__k6_xcmplx_0__r0_r107_rm107, axiom, k6_xcmplx_0(0, 107)=k4_xcmplx_0(107)).
fof(rqRealDiff__k6_xcmplx_0__r0_r10_rm10, axiom, k6_xcmplx_0(0, 10)=k4_xcmplx_0(10)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1177_rm1177, axiom, k6_xcmplx_0(0, 1177)=k4_xcmplx_0(1177)).
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_r96_rm96, axiom, k6_xcmplx_0(0, 96)=k4_xcmplx_0(96)).
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__r106_r0_r106, axiom, k6_xcmplx_0(106, 0)=106).
fof(rqRealDiff__k6_xcmplx_0__r106_r106_r0, axiom, k6_xcmplx_0(106, 106)=0).
fof(rqRealDiff__k6_xcmplx_0__r106_rm1_r107, axiom, k6_xcmplx_0(106, k4_xcmplx_0(1))=107).
fof(rqRealDiff__k6_xcmplx_0__r107_r0_r107, axiom, k6_xcmplx_0(107, 0)=107).
fof(rqRealDiff__k6_xcmplx_0__r107_r107_r0, axiom, k6_xcmplx_0(107, 107)=0).
fof(rqRealDiff__k6_xcmplx_0__r107_r11_r96, axiom, k6_xcmplx_0(107, 11)=96).
fof(rqRealDiff__k6_xcmplx_0__r107_r1_r106, axiom, k6_xcmplx_0(107, 1)=106).
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__r1177_r107_r1070, axiom, k6_xcmplx_0(1177, 107)=1070).
fof(rqRealDiff__k6_xcmplx_0__r1177_r11_r1166, axiom, k6_xcmplx_0(1177, 11)=1166).
fof(rqRealDiff__k6_xcmplx_0__r1177_r1_r1176, axiom, k6_xcmplx_0(1177, 1)=1176).
fof(rqRealDiff__k6_xcmplx_0__r11_r0_r11, axiom, k6_xcmplx_0(11, 0)=11).
fof(rqRealDiff__k6_xcmplx_0__r11_r107_rm96, axiom, k6_xcmplx_0(11, 107)=k4_xcmplx_0(96)).
fof(rqRealDiff__k6_xcmplx_0__r11_r10_r1, axiom, k6_xcmplx_0(11, 10)=1).
fof(rqRealDiff__k6_xcmplx_0__r11_r1177_rm1166, axiom, k6_xcmplx_0(11, 1177)=k4_xcmplx_0(1166)).
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__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r107_rm106, axiom, k6_xcmplx_0(1, 107)=k4_xcmplx_0(106)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1177_rm1176, axiom, k6_xcmplx_0(1, 1177)=k4_xcmplx_0(1176)).
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_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__r96_r0_r96, axiom, k6_xcmplx_0(96, 0)=96).
fof(rqRealDiff__k6_xcmplx_0__r96_r96_r0, axiom, k6_xcmplx_0(96, 96)=0).
fof(rqRealDiff__k6_xcmplx_0__rm106_r0_rm106, axiom, k6_xcmplx_0(k4_xcmplx_0(106), 0)=k4_xcmplx_0(106)).
fof(rqRealDiff__k6_xcmplx_0__rm106_r1_rm107, axiom, k6_xcmplx_0(k4_xcmplx_0(106), 1)=k4_xcmplx_0(107)).
fof(rqRealDiff__k6_xcmplx_0__rm106_rm106_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(106), k4_xcmplx_0(106))=0).
fof(rqRealDiff__k6_xcmplx_0__rm106_rm96_rm10, axiom, k6_xcmplx_0(k4_xcmplx_0(106), k4_xcmplx_0(96))=k4_xcmplx_0(10)).
fof(rqRealDiff__k6_xcmplx_0__rm1070_rm1070_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1070), k4_xcmplx_0(1070))=0).
fof(rqRealDiff__k6_xcmplx_0__rm107_r0_rm107, axiom, k6_xcmplx_0(k4_xcmplx_0(107), 0)=k4_xcmplx_0(107)).
fof(rqRealDiff__k6_xcmplx_0__rm107_rm106_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(107), k4_xcmplx_0(106))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm107_rm107_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(107), k4_xcmplx_0(107))=0).
fof(rqRealDiff__k6_xcmplx_0__rm107_rm1_rm106, axiom, k6_xcmplx_0(k4_xcmplx_0(107), k4_xcmplx_0(1))=k4_xcmplx_0(106)).
fof(rqRealDiff__k6_xcmplx_0__rm107_rm96_rm11, axiom, k6_xcmplx_0(k4_xcmplx_0(107), k4_xcmplx_0(96))=k4_xcmplx_0(11)).
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__rm1_r0_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r106_rm107, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 106)=k4_xcmplx_0(107)).
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_rm107_r106, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(107))=106).
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_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__rm96_r0_rm96, axiom, k6_xcmplx_0(k4_xcmplx_0(96), 0)=k4_xcmplx_0(96)).
fof(rqRealDiff__k6_xcmplx_0__rm96_r10_rm106, axiom, k6_xcmplx_0(k4_xcmplx_0(96), 10)=k4_xcmplx_0(106)).
fof(rqRealDiff__k6_xcmplx_0__rm96_r11_rm107, axiom, k6_xcmplx_0(k4_xcmplx_0(96), 11)=k4_xcmplx_0(107)).
fof(rqRealDiff__k6_xcmplx_0__rm96_rm96_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(96), k4_xcmplx_0(96))=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(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_rm107_rnm1d107, axiom, k7_xcmplx_0(1, k4_xcmplx_0(107))=k7_xcmplx_0(k4_xcmplx_0(1), 107)).
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_r106_r0, axiom, k3_xcmplx_0(0, 106)=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_r96_r0, axiom, k3_xcmplx_0(0, 96)=0).
fof(rqRealMult__k3_xcmplx_0__r106_r0_r0, axiom, k3_xcmplx_0(106, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r106_r11_r1166, axiom, k3_xcmplx_0(106, 11)=1166).
fof(rqRealMult__k3_xcmplx_0__r106_r1_r106, axiom, k3_xcmplx_0(106, 1)=106).
fof(rqRealMult__k3_xcmplx_0__r107_r11_r1177, axiom, k3_xcmplx_0(107, 11)=1177).
fof(rqRealMult__k3_xcmplx_0__r107_r1_r107, axiom, k3_xcmplx_0(107, 1)=107).
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_rm107_rm1070, axiom, k3_xcmplx_0(10, k4_xcmplx_0(107))=k4_xcmplx_0(1070)).
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_r106_r1166, axiom, k3_xcmplx_0(11, 106)=1166).
fof(rqRealMult__k3_xcmplx_0__r11_r107_r1177, axiom, k3_xcmplx_0(11, 107)=1177).
fof(rqRealMult__k3_xcmplx_0__r11_r1_r11, axiom, k3_xcmplx_0(11, 1)=11).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r106_r106, axiom, k3_xcmplx_0(1, 106)=106).
fof(rqRealMult__k3_xcmplx_0__r1_r1070_r1070, axiom, k3_xcmplx_0(1, 1070)=1070).
fof(rqRealMult__k3_xcmplx_0__r1_r107_r107, axiom, k3_xcmplx_0(1, 107)=107).
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_r96_r96, axiom, k3_xcmplx_0(1, 96)=96).
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__r96_r0_r0, axiom, k3_xcmplx_0(96, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r96_r1_r96, axiom, k3_xcmplx_0(96, 1)=96).
fof(rqRealMult__k3_xcmplx_0__rm106_r1_rm106, axiom, k3_xcmplx_0(k4_xcmplx_0(106), 1)=k4_xcmplx_0(106)).
fof(rqRealMult__k3_xcmplx_0__rm107_r1_rm107, axiom, k3_xcmplx_0(k4_xcmplx_0(107), 1)=k4_xcmplx_0(107)).
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_rm107_r1177, axiom, k3_xcmplx_0(k4_xcmplx_0(11), k4_xcmplx_0(107))=1177).
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__rm96_r1_rm96, axiom, k3_xcmplx_0(k4_xcmplx_0(96), 1)=k4_xcmplx_0(96)).
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__rnm1d107_rm107_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 107), k4_xcmplx_0(107))=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_r1177_rm107, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 11), 1177)=k4_xcmplx_0(107)).
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_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__r106_rm106, axiom, k4_xcmplx_0(106)=k4_xcmplx_0(106)).
fof(rqRealNeg__k4_xcmplx_0__r1070_rm1070, axiom, k4_xcmplx_0(1070)=k4_xcmplx_0(1070)).
fof(rqRealNeg__k4_xcmplx_0__r107_rm107, axiom, k4_xcmplx_0(107)=k4_xcmplx_0(107)).
fof(rqRealNeg__k4_xcmplx_0__r10_rm10, axiom, k4_xcmplx_0(10)=k4_xcmplx_0(10)).
fof(rqRealNeg__k4_xcmplx_0__r1177_rm1177, axiom, k4_xcmplx_0(1177)=k4_xcmplx_0(1177)).
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__r96_rm96, axiom, k4_xcmplx_0(96)=k4_xcmplx_0(96)).
fof(rqRealNeg__k4_xcmplx_0__rm106_r106, axiom, k4_xcmplx_0(k4_xcmplx_0(106))=106).
fof(rqRealNeg__k4_xcmplx_0__rm1070_r1070, axiom, k4_xcmplx_0(k4_xcmplx_0(1070))=1070).
fof(rqRealNeg__k4_xcmplx_0__rm107_r107, axiom, k4_xcmplx_0(k4_xcmplx_0(107))=107).
fof(rqRealNeg__k4_xcmplx_0__rm10_r10, axiom, k4_xcmplx_0(k4_xcmplx_0(10))=10).
fof(rqRealNeg__k4_xcmplx_0__rm1166_r1166, axiom, k4_xcmplx_0(k4_xcmplx_0(1166))=1166).
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__rm96_r96, axiom, k4_xcmplx_0(k4_xcmplx_0(96))=96).
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(spc106_numerals, axiom,  (v2_xxreal_0(106) & m1_subset_1(106, k4_ordinal1)) ).
fof(spc1070_numerals, axiom,  (v2_xxreal_0(1070) & m1_subset_1(1070, k4_ordinal1)) ).
fof(spc107_numerals, axiom,  (v2_xxreal_0(107) & m1_subset_1(107, k4_ordinal1)) ).
fof(spc10_numerals, axiom,  (v2_xxreal_0(10) & m1_subset_1(10, k4_ordinal1)) ).
fof(spc1166_numerals, axiom,  (v2_xxreal_0(1166) & m1_subset_1(1166, k4_ordinal1)) ).
fof(spc1176_numerals, axiom,  (v2_xxreal_0(1176) & m1_subset_1(1176, k4_ordinal1)) ).
fof(spc1177_numerals, axiom,  (v2_xxreal_0(1177) & m1_subset_1(1177, 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(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(spc96_numerals, axiom,  (v2_xxreal_0(96) & m1_subset_1(96, 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) ) ).
