% Mizar problem: t1111_xprimes0,xprimes0,7785,7 
fof(t1111_xprimes0, conjecture,  ~ (v1_int_2(1111)) ).
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_r100_rm100, axiom, k6_xcmplx_0(0, 100)=k4_xcmplx_0(100)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1010_rm1010, axiom, k6_xcmplx_0(0, 1010)=k4_xcmplx_0(1010)).
fof(rqRealDiff__k6_xcmplx_0__r0_r101_rm101, axiom, k6_xcmplx_0(0, 101)=k4_xcmplx_0(101)).
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_r90_rm90, axiom, k6_xcmplx_0(0, 90)=k4_xcmplx_0(90)).
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_rn1d100_rnm1d100, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 100))=k7_xcmplx_0(k4_xcmplx_0(1), 100)).
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__r100_r0_r100, axiom, k6_xcmplx_0(100, 0)=100).
fof(rqRealDiff__k6_xcmplx_0__r100_r100_r0, axiom, k6_xcmplx_0(100, 100)=0).
fof(rqRealDiff__k6_xcmplx_0__r100_r10_r90, axiom, k6_xcmplx_0(100, 10)=90).
fof(rqRealDiff__k6_xcmplx_0__r100_r90_r10, axiom, k6_xcmplx_0(100, 90)=10).
fof(rqRealDiff__k6_xcmplx_0__r100_rm1_r101, axiom, k6_xcmplx_0(100, k4_xcmplx_0(1))=101).
fof(rqRealDiff__k6_xcmplx_0__r1010_r0_r1010, axiom, k6_xcmplx_0(1010, 0)=1010).
fof(rqRealDiff__k6_xcmplx_0__r101_r0_r101, axiom, k6_xcmplx_0(101, 0)=101).
fof(rqRealDiff__k6_xcmplx_0__r101_r100_r1, axiom, k6_xcmplx_0(101, 100)=1).
fof(rqRealDiff__k6_xcmplx_0__r101_r101_r0, axiom, k6_xcmplx_0(101, 101)=0).
fof(rqRealDiff__k6_xcmplx_0__r101_r11_r90, axiom, k6_xcmplx_0(101, 11)=90).
fof(rqRealDiff__k6_xcmplx_0__r101_r1_r100, axiom, k6_xcmplx_0(101, 1)=100).
fof(rqRealDiff__k6_xcmplx_0__r10_r0_r10, axiom, k6_xcmplx_0(10, 0)=10).
fof(rqRealDiff__k6_xcmplx_0__r10_r100_rm90, axiom, k6_xcmplx_0(10, 100)=k4_xcmplx_0(90)).
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__r10_rnm1d10_rn101d10, axiom, k6_xcmplx_0(10, k7_xcmplx_0(k4_xcmplx_0(1), 10))=k7_xcmplx_0(101, 10)).
fof(rqRealDiff__k6_xcmplx_0__r1100_r0_r1100, axiom, k6_xcmplx_0(1100, 0)=1100).
fof(rqRealDiff__k6_xcmplx_0__r1100_r1100_r0, axiom, k6_xcmplx_0(1100, 1100)=0).
fof(rqRealDiff__k6_xcmplx_0__r1111_r101_r1010, axiom, k6_xcmplx_0(1111, 101)=1010).
fof(rqRealDiff__k6_xcmplx_0__r1111_r11_r1100, axiom, k6_xcmplx_0(1111, 11)=1100).
fof(rqRealDiff__k6_xcmplx_0__r1111_r1_r1110, axiom, k6_xcmplx_0(1111, 1)=1110).
fof(rqRealDiff__k6_xcmplx_0__r11_r0_r11, axiom, k6_xcmplx_0(11, 0)=11).
fof(rqRealDiff__k6_xcmplx_0__r11_r101_rm90, axiom, k6_xcmplx_0(11, 101)=k4_xcmplx_0(90)).
fof(rqRealDiff__k6_xcmplx_0__r11_r10_r1, axiom, k6_xcmplx_0(11, 10)=1).
fof(rqRealDiff__k6_xcmplx_0__r11_r1111_rm1100, axiom, k6_xcmplx_0(11, 1111)=k4_xcmplx_0(1100)).
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_r101_rm100, axiom, k6_xcmplx_0(1, 101)=k4_xcmplx_0(100)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1111_rm1110, axiom, k6_xcmplx_0(1, 1111)=k4_xcmplx_0(1110)).
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_rm100_r101, axiom, k6_xcmplx_0(1, k4_xcmplx_0(100))=101).
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__r90_r0_r90, axiom, k6_xcmplx_0(90, 0)=90).
fof(rqRealDiff__k6_xcmplx_0__r90_r90_r0, axiom, k6_xcmplx_0(90, 90)=0).
fof(rqRealDiff__k6_xcmplx_0__rm100_r0_rm100, axiom, k6_xcmplx_0(k4_xcmplx_0(100), 0)=k4_xcmplx_0(100)).
fof(rqRealDiff__k6_xcmplx_0__rm100_r1_rm101, axiom, k6_xcmplx_0(k4_xcmplx_0(100), 1)=k4_xcmplx_0(101)).
fof(rqRealDiff__k6_xcmplx_0__rm100_rm100_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(100), k4_xcmplx_0(100))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1010_rm1010_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1010), k4_xcmplx_0(1010))=0).
fof(rqRealDiff__k6_xcmplx_0__rm101_r0_rm101, axiom, k6_xcmplx_0(k4_xcmplx_0(101), 0)=k4_xcmplx_0(101)).
fof(rqRealDiff__k6_xcmplx_0__rm101_rm100_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(101), k4_xcmplx_0(100))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm101_rm101_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(101), k4_xcmplx_0(101))=0).
fof(rqRealDiff__k6_xcmplx_0__rm101_rm11_rm90, axiom, k6_xcmplx_0(k4_xcmplx_0(101), k4_xcmplx_0(11))=k4_xcmplx_0(90)).
fof(rqRealDiff__k6_xcmplx_0__rm101_rm1_rm100, axiom, k6_xcmplx_0(k4_xcmplx_0(101), k4_xcmplx_0(1))=k4_xcmplx_0(100)).
fof(rqRealDiff__k6_xcmplx_0__rm101_rm90_rm11, axiom, k6_xcmplx_0(k4_xcmplx_0(101), k4_xcmplx_0(90))=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_rm100_r90, axiom, k6_xcmplx_0(k4_xcmplx_0(10), k4_xcmplx_0(100))=90).
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__rm1100_rm1100_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1100), k4_xcmplx_0(1100))=0).
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_r100_rm101, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 100)=k4_xcmplx_0(101)).
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_rm101_r100, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(101))=100).
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__rm90_r0_rm90, axiom, k6_xcmplx_0(k4_xcmplx_0(90), 0)=k4_xcmplx_0(90)).
fof(rqRealDiff__k6_xcmplx_0__rm90_r11_rm101, axiom, k6_xcmplx_0(k4_xcmplx_0(90), 11)=k4_xcmplx_0(101)).
fof(rqRealDiff__k6_xcmplx_0__rm90_rm100_r10, axiom, k6_xcmplx_0(k4_xcmplx_0(90), k4_xcmplx_0(100))=10).
fof(rqRealDiff__k6_xcmplx_0__rm90_rm90_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(90), k4_xcmplx_0(90))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d100_rn1d100_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 100), k7_xcmplx_0(1, 100))=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__rnm1d100_rnm1d100_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 100), k7_xcmplx_0(k4_xcmplx_0(1), 100))=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_r100_rn1d100, axiom, k7_xcmplx_0(1, 100)=k7_xcmplx_0(1, 100)).
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_rm100_rnm1d100, axiom, k7_xcmplx_0(1, k4_xcmplx_0(100))=k7_xcmplx_0(k4_xcmplx_0(1), 100)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm101_rnm1d101, axiom, k7_xcmplx_0(1, k4_xcmplx_0(101))=k7_xcmplx_0(k4_xcmplx_0(1), 101)).
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_rnm1d100_rm100, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 100))=k4_xcmplx_0(100)).
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_r100_r0, axiom, k3_xcmplx_0(0, 100)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r10_r0, axiom, k3_xcmplx_0(0, 10)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1100_r0, axiom, k3_xcmplx_0(0, 1100)=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_r90_r0, axiom, k3_xcmplx_0(0, 90)=0).
fof(rqRealMult__k3_xcmplx_0__r100_r0_r0, axiom, k3_xcmplx_0(100, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r100_r11_r1100, axiom, k3_xcmplx_0(100, 11)=1100).
fof(rqRealMult__k3_xcmplx_0__r100_r1_r100, axiom, k3_xcmplx_0(100, 1)=100).
fof(rqRealMult__k3_xcmplx_0__r100_rn1d100_r1, axiom, k3_xcmplx_0(100, k7_xcmplx_0(1, 100))=1).
fof(rqRealMult__k3_xcmplx_0__r100_rnm1d100_rm1, axiom, k3_xcmplx_0(100, k7_xcmplx_0(k4_xcmplx_0(1), 100))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r101_r11_r1111, axiom, k3_xcmplx_0(101, 11)=1111).
fof(rqRealMult__k3_xcmplx_0__r101_r1_r101, axiom, k3_xcmplx_0(101, 1)=101).
fof(rqRealMult__k3_xcmplx_0__r10_r0_r0, axiom, k3_xcmplx_0(10, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r10_r10_r100, axiom, k3_xcmplx_0(10, 10)=100).
fof(rqRealMult__k3_xcmplx_0__r10_r1_r10, axiom, k3_xcmplx_0(10, 1)=10).
fof(rqRealMult__k3_xcmplx_0__r10_rm101_rm1010, axiom, k3_xcmplx_0(10, k4_xcmplx_0(101))=k4_xcmplx_0(1010)).
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__r1100_r0_r0, axiom, k3_xcmplx_0(1100, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r11_r0_r0, axiom, k3_xcmplx_0(11, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r11_r100_r1100, axiom, k3_xcmplx_0(11, 100)=1100).
fof(rqRealMult__k3_xcmplx_0__r11_r101_r1111, axiom, k3_xcmplx_0(11, 101)=1111).
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_r100_r100, axiom, k3_xcmplx_0(1, 100)=100).
fof(rqRealMult__k3_xcmplx_0__r1_r1010_r1010, axiom, k3_xcmplx_0(1, 1010)=1010).
fof(rqRealMult__k3_xcmplx_0__r1_r101_r101, axiom, k3_xcmplx_0(1, 101)=101).
fof(rqRealMult__k3_xcmplx_0__r1_r10_r10, axiom, k3_xcmplx_0(1, 10)=10).
fof(rqRealMult__k3_xcmplx_0__r1_r1100_r1100, axiom, k3_xcmplx_0(1, 1100)=1100).
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_r90_r90, axiom, k3_xcmplx_0(1, 90)=90).
fof(rqRealMult__k3_xcmplx_0__r1_rm100_rm100, axiom, k3_xcmplx_0(1, k4_xcmplx_0(100))=k4_xcmplx_0(100)).
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_rm90_rm90, axiom, k3_xcmplx_0(1, k4_xcmplx_0(90))=k4_xcmplx_0(90)).
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__r90_r0_r0, axiom, k3_xcmplx_0(90, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r90_r1_r90, axiom, k3_xcmplx_0(90, 1)=90).
fof(rqRealMult__k3_xcmplx_0__rm100_r1_rm100, axiom, k3_xcmplx_0(k4_xcmplx_0(100), 1)=k4_xcmplx_0(100)).
fof(rqRealMult__k3_xcmplx_0__rm100_rn1d100_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(100), k7_xcmplx_0(1, 100))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm100_rnm1d100_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(100), k7_xcmplx_0(k4_xcmplx_0(1), 100))=1).
fof(rqRealMult__k3_xcmplx_0__rm101_r1_rm101, axiom, k3_xcmplx_0(k4_xcmplx_0(101), 1)=k4_xcmplx_0(101)).
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_rm10_r100, axiom, k3_xcmplx_0(k4_xcmplx_0(10), k4_xcmplx_0(10))=100).
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_rm101_r1111, axiom, k3_xcmplx_0(k4_xcmplx_0(11), k4_xcmplx_0(101))=1111).
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__rm90_r1_rm90, axiom, k3_xcmplx_0(k4_xcmplx_0(90), 1)=k4_xcmplx_0(90)).
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__rn1d100_r100_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 100), 100)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d100_r1_rn1d100, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 100), 1)=k7_xcmplx_0(1, 100)).
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__rnm1d100_r100_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 100), 100)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d100_r1_rnm1d100, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 100), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 100)).
fof(rqRealMult__k3_xcmplx_0__rnm1d100_rm100_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 100), k4_xcmplx_0(100))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d101_rm101_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 101), k4_xcmplx_0(101))=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_r1111_rm101, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 11), 1111)=k4_xcmplx_0(101)).
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__r100_rm100, axiom, k4_xcmplx_0(100)=k4_xcmplx_0(100)).
fof(rqRealNeg__k4_xcmplx_0__r1010_rm1010, axiom, k4_xcmplx_0(1010)=k4_xcmplx_0(1010)).
fof(rqRealNeg__k4_xcmplx_0__r101_rm101, axiom, k4_xcmplx_0(101)=k4_xcmplx_0(101)).
fof(rqRealNeg__k4_xcmplx_0__r10_rm10, axiom, k4_xcmplx_0(10)=k4_xcmplx_0(10)).
fof(rqRealNeg__k4_xcmplx_0__r1100_rm1100, axiom, k4_xcmplx_0(1100)=k4_xcmplx_0(1100)).
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__r90_rm90, axiom, k4_xcmplx_0(90)=k4_xcmplx_0(90)).
fof(rqRealNeg__k4_xcmplx_0__rm100_r100, axiom, k4_xcmplx_0(k4_xcmplx_0(100))=100).
fof(rqRealNeg__k4_xcmplx_0__rm1010_r1010, axiom, k4_xcmplx_0(k4_xcmplx_0(1010))=1010).
fof(rqRealNeg__k4_xcmplx_0__rm101_r101, axiom, k4_xcmplx_0(k4_xcmplx_0(101))=101).
fof(rqRealNeg__k4_xcmplx_0__rm10_r10, axiom, k4_xcmplx_0(k4_xcmplx_0(10))=10).
fof(rqRealNeg__k4_xcmplx_0__rm1100_r1100, axiom, k4_xcmplx_0(k4_xcmplx_0(1100))=1100).
fof(rqRealNeg__k4_xcmplx_0__rm1110_r1110, axiom, k4_xcmplx_0(k4_xcmplx_0(1110))=1110).
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__rm90_r90, axiom, k4_xcmplx_0(k4_xcmplx_0(90))=90).
fof(rqRealNeg__k4_xcmplx_0__rn1d100_rnm1d100, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 100))=k7_xcmplx_0(k4_xcmplx_0(1), 100)).
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__rnm1d100_rn1d100, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 100))=k7_xcmplx_0(1, 100)).
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(spc100_numerals, axiom,  (v2_xxreal_0(100) & m1_subset_1(100, k4_ordinal1)) ).
fof(spc1010_numerals, axiom,  (v2_xxreal_0(1010) & m1_subset_1(1010, k4_ordinal1)) ).
fof(spc101_numerals, axiom,  (v2_xxreal_0(101) & m1_subset_1(101, k4_ordinal1)) ).
fof(spc10_numerals, axiom,  (v2_xxreal_0(10) & m1_subset_1(10, k4_ordinal1)) ).
fof(spc1100_numerals, axiom,  (v2_xxreal_0(1100) & m1_subset_1(1100, k4_ordinal1)) ).
fof(spc1110_numerals, axiom,  (v2_xxreal_0(1110) & m1_subset_1(1110, k4_ordinal1)) ).
fof(spc1111_numerals, axiom,  (v2_xxreal_0(1111) & m1_subset_1(1111, 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(spc90_numerals, axiom,  (v2_xxreal_0(90) & m1_subset_1(90, 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) ) ).
