% Mizar problem: t1919_xprimes0,xprimes0,13607,7 
fof(t1919_xprimes0, conjecture,  ~ (v1_int_2(1919)) ).
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_r101_rm101, axiom, k6_xcmplx_0(0, 101)=k4_xcmplx_0(101)).
fof(rqRealDiff__k6_xcmplx_0__r0_r18_rm18, axiom, k6_xcmplx_0(0, 18)=k4_xcmplx_0(18)).
fof(rqRealDiff__k6_xcmplx_0__r0_r19_rm19, axiom, k6_xcmplx_0(0, 19)=k4_xcmplx_0(19)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r82_rm82, axiom, k6_xcmplx_0(0, 82)=k4_xcmplx_0(82)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm18_r18, axiom, k6_xcmplx_0(0, k4_xcmplx_0(18))=18).
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_rn1d18_rnm1d18, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 18))=k7_xcmplx_0(k4_xcmplx_0(1), 18)).
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_r18_r82, axiom, k6_xcmplx_0(100, 18)=82).
fof(rqRealDiff__k6_xcmplx_0__r100_r82_r18, axiom, k6_xcmplx_0(100, 82)=18).
fof(rqRealDiff__k6_xcmplx_0__r100_rm1_r101, axiom, k6_xcmplx_0(100, k4_xcmplx_0(1))=101).
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_r19_r82, axiom, k6_xcmplx_0(101, 19)=82).
fof(rqRealDiff__k6_xcmplx_0__r101_r1_r100, axiom, k6_xcmplx_0(101, 1)=100).
fof(rqRealDiff__k6_xcmplx_0__r18_r0_r18, axiom, k6_xcmplx_0(18, 0)=18).
fof(rqRealDiff__k6_xcmplx_0__r18_r18_r0, axiom, k6_xcmplx_0(18, 18)=0).
fof(rqRealDiff__k6_xcmplx_0__r18_r19_rm1, axiom, k6_xcmplx_0(18, 19)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r18_rm1_r19, axiom, k6_xcmplx_0(18, k4_xcmplx_0(1))=19).
fof(rqRealDiff__k6_xcmplx_0__r1919_r101_r1818, axiom, k6_xcmplx_0(1919, 101)=1818).
fof(rqRealDiff__k6_xcmplx_0__r1919_r19_r1900, axiom, k6_xcmplx_0(1919, 19)=1900).
fof(rqRealDiff__k6_xcmplx_0__r1919_r1_r1918, axiom, k6_xcmplx_0(1919, 1)=1918).
fof(rqRealDiff__k6_xcmplx_0__r19_r0_r19, axiom, k6_xcmplx_0(19, 0)=19).
fof(rqRealDiff__k6_xcmplx_0__r19_r101_rm82, axiom, k6_xcmplx_0(19, 101)=k4_xcmplx_0(82)).
fof(rqRealDiff__k6_xcmplx_0__r19_r18_r1, axiom, k6_xcmplx_0(19, 18)=1).
fof(rqRealDiff__k6_xcmplx_0__r19_r1919_rm1900, axiom, k6_xcmplx_0(19, 1919)=k4_xcmplx_0(1900)).
fof(rqRealDiff__k6_xcmplx_0__r19_r19_r0, axiom, k6_xcmplx_0(19, 19)=0).
fof(rqRealDiff__k6_xcmplx_0__r19_r1_r18, axiom, k6_xcmplx_0(19, 1)=18).
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_r1919_rm1918, axiom, k6_xcmplx_0(1, 1919)=k4_xcmplx_0(1918)).
fof(rqRealDiff__k6_xcmplx_0__r1_r19_rm18, axiom, k6_xcmplx_0(1, 19)=k4_xcmplx_0(18)).
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_rm18_r19, axiom, k6_xcmplx_0(1, k4_xcmplx_0(18))=19).
fof(rqRealDiff__k6_xcmplx_0__r82_r0_r82, axiom, k6_xcmplx_0(82, 0)=82).
fof(rqRealDiff__k6_xcmplx_0__r82_r100_rm18, axiom, k6_xcmplx_0(82, 100)=k4_xcmplx_0(18)).
fof(rqRealDiff__k6_xcmplx_0__r82_r82_r0, axiom, k6_xcmplx_0(82, 82)=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__rm100_rm82_rm18, axiom, k6_xcmplx_0(k4_xcmplx_0(100), k4_xcmplx_0(82))=k4_xcmplx_0(18)).
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_rm19_rm82, axiom, k6_xcmplx_0(k4_xcmplx_0(101), k4_xcmplx_0(19))=k4_xcmplx_0(82)).
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__rm18_r0_rm18, axiom, k6_xcmplx_0(k4_xcmplx_0(18), 0)=k4_xcmplx_0(18)).
fof(rqRealDiff__k6_xcmplx_0__rm18_r1_rm19, axiom, k6_xcmplx_0(k4_xcmplx_0(18), 1)=k4_xcmplx_0(19)).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm18_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(18), k4_xcmplx_0(18))=0).
fof(rqRealDiff__k6_xcmplx_0__rm18_rm19_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(18), k4_xcmplx_0(19))=1).
fof(rqRealDiff__k6_xcmplx_0__rm19_r0_rm19, axiom, k6_xcmplx_0(k4_xcmplx_0(19), 0)=k4_xcmplx_0(19)).
fof(rqRealDiff__k6_xcmplx_0__rm19_rm18_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(19), k4_xcmplx_0(18))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm19_rm19_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(19), k4_xcmplx_0(19))=0).
fof(rqRealDiff__k6_xcmplx_0__rm19_rm1_rm18, axiom, k6_xcmplx_0(k4_xcmplx_0(19), k4_xcmplx_0(1))=k4_xcmplx_0(18)).
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_r18_rm19, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 18)=k4_xcmplx_0(19)).
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_rm19_r18, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(19))=18).
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__rm82_r0_rm82, axiom, k6_xcmplx_0(k4_xcmplx_0(82), 0)=k4_xcmplx_0(82)).
fof(rqRealDiff__k6_xcmplx_0__rm82_r18_rm100, axiom, k6_xcmplx_0(k4_xcmplx_0(82), 18)=k4_xcmplx_0(100)).
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__rn1d100_rn1d100_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 100), k7_xcmplx_0(1, 100))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d18_r0_rn1d18, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 18), 0)=k7_xcmplx_0(1, 18)).
fof(rqRealDiff__k6_xcmplx_0__rn1d18_rn1d18_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 18), k7_xcmplx_0(1, 18))=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__rnm1d18_rnm1d18_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 18), k7_xcmplx_0(k4_xcmplx_0(1), 18))=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_r18_rn1d18, axiom, k7_xcmplx_0(1, 18)=k7_xcmplx_0(1, 18)).
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_rm18_rnm1d18, axiom, k7_xcmplx_0(1, k4_xcmplx_0(18))=k7_xcmplx_0(k4_xcmplx_0(1), 18)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm19_rnm1d19, axiom, k7_xcmplx_0(1, k4_xcmplx_0(19))=k7_xcmplx_0(k4_xcmplx_0(1), 19)).
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_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_rn1d18_r18, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 18))=18).
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_r18_r0, axiom, k3_xcmplx_0(0, 18)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r19_r0, axiom, k3_xcmplx_0(0, 19)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r82_r0, axiom, k3_xcmplx_0(0, 82)=0).
fof(rqRealMult__k3_xcmplx_0__r100_r0_r0, axiom, k3_xcmplx_0(100, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r100_r19_r1900, axiom, k3_xcmplx_0(100, 19)=1900).
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_r19_r1919, axiom, k3_xcmplx_0(101, 19)=1919).
fof(rqRealMult__k3_xcmplx_0__r101_r1_r101, axiom, k3_xcmplx_0(101, 1)=101).
fof(rqRealMult__k3_xcmplx_0__r18_r0_r0, axiom, k3_xcmplx_0(18, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r18_r1_r18, axiom, k3_xcmplx_0(18, 1)=18).
fof(rqRealMult__k3_xcmplx_0__r18_rm101_rm1818, axiom, k3_xcmplx_0(18, k4_xcmplx_0(101))=k4_xcmplx_0(1818)).
fof(rqRealMult__k3_xcmplx_0__r18_rn1d18_r1, axiom, k3_xcmplx_0(18, k7_xcmplx_0(1, 18))=1).
fof(rqRealMult__k3_xcmplx_0__r18_rnm1d18_rm1, axiom, k3_xcmplx_0(18, k7_xcmplx_0(k4_xcmplx_0(1), 18))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__r19_r0_r0, axiom, k3_xcmplx_0(19, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r19_r100_r1900, axiom, k3_xcmplx_0(19, 100)=1900).
fof(rqRealMult__k3_xcmplx_0__r19_r101_r1919, axiom, k3_xcmplx_0(19, 101)=1919).
fof(rqRealMult__k3_xcmplx_0__r19_r1_r19, axiom, k3_xcmplx_0(19, 1)=19).
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_r101_r101, axiom, k3_xcmplx_0(1, 101)=101).
fof(rqRealMult__k3_xcmplx_0__r1_r18_r18, axiom, k3_xcmplx_0(1, 18)=18).
fof(rqRealMult__k3_xcmplx_0__r1_r19_r19, axiom, k3_xcmplx_0(1, 19)=19).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r82_r82, axiom, k3_xcmplx_0(1, 82)=82).
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_rm18_rm18, axiom, k3_xcmplx_0(1, k4_xcmplx_0(18))=k4_xcmplx_0(18)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d18_rn1d18, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 18))=k7_xcmplx_0(1, 18)).
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__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__rm18_r1_rm18, axiom, k3_xcmplx_0(k4_xcmplx_0(18), 1)=k4_xcmplx_0(18)).
fof(rqRealMult__k3_xcmplx_0__rm18_rnm1d18_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(18), k7_xcmplx_0(k4_xcmplx_0(1), 18))=1).
fof(rqRealMult__k3_xcmplx_0__rm19_r1_rm19, axiom, k3_xcmplx_0(k4_xcmplx_0(19), 1)=k4_xcmplx_0(19)).
fof(rqRealMult__k3_xcmplx_0__rm19_rm101_r1919, axiom, k3_xcmplx_0(k4_xcmplx_0(19), k4_xcmplx_0(101))=1919).
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__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__rn1d18_r18_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 18), 18)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d18_r1_rn1d18, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 18), 1)=k7_xcmplx_0(1, 18)).
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__rnm1d18_r18_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 18), 18)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d18_r1_rnm1d18, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 18), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 18)).
fof(rqRealMult__k3_xcmplx_0__rnm1d18_rm18_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 18), k4_xcmplx_0(18))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d19_r1919_rm101, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 19), 1919)=k4_xcmplx_0(101)).
fof(rqRealMult__k3_xcmplx_0__rnm1d19_rm19_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 19), k4_xcmplx_0(19))=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(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__r101_rm101, axiom, k4_xcmplx_0(101)=k4_xcmplx_0(101)).
fof(rqRealNeg__k4_xcmplx_0__r1818_rm1818, axiom, k4_xcmplx_0(1818)=k4_xcmplx_0(1818)).
fof(rqRealNeg__k4_xcmplx_0__r18_rm18, axiom, k4_xcmplx_0(18)=k4_xcmplx_0(18)).
fof(rqRealNeg__k4_xcmplx_0__r1900_rm1900, axiom, k4_xcmplx_0(1900)=k4_xcmplx_0(1900)).
fof(rqRealNeg__k4_xcmplx_0__r19_rm19, axiom, k4_xcmplx_0(19)=k4_xcmplx_0(19)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r82_rm82, axiom, k4_xcmplx_0(82)=k4_xcmplx_0(82)).
fof(rqRealNeg__k4_xcmplx_0__rm100_r100, axiom, k4_xcmplx_0(k4_xcmplx_0(100))=100).
fof(rqRealNeg__k4_xcmplx_0__rm101_r101, axiom, k4_xcmplx_0(k4_xcmplx_0(101))=101).
fof(rqRealNeg__k4_xcmplx_0__rm1818_r1818, axiom, k4_xcmplx_0(k4_xcmplx_0(1818))=1818).
fof(rqRealNeg__k4_xcmplx_0__rm18_r18, axiom, k4_xcmplx_0(k4_xcmplx_0(18))=18).
fof(rqRealNeg__k4_xcmplx_0__rm19_r19, axiom, k4_xcmplx_0(k4_xcmplx_0(19))=19).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm82_r82, axiom, k4_xcmplx_0(k4_xcmplx_0(82))=82).
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__rn1d18_rnm1d18, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 18))=k7_xcmplx_0(k4_xcmplx_0(1), 18)).
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__rnm1d18_rn1d18, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 18))=k7_xcmplx_0(1, 18)).
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(spc101_numerals, axiom,  (v2_xxreal_0(101) & m1_subset_1(101, k4_ordinal1)) ).
fof(spc1818_numerals, axiom,  (v2_xxreal_0(1818) & m1_subset_1(1818, k4_ordinal1)) ).
fof(spc18_numerals, axiom,  (v2_xxreal_0(18) & m1_subset_1(18, k4_ordinal1)) ).
fof(spc1900_numerals, axiom,  (v2_xxreal_0(1900) & m1_subset_1(1900, k4_ordinal1)) ).
fof(spc1918_numerals, axiom,  (v2_xxreal_0(1918) & m1_subset_1(1918, k4_ordinal1)) ).
fof(spc1919_numerals, axiom,  (v2_xxreal_0(1919) & m1_subset_1(1919, k4_ordinal1)) ).
fof(spc19_numerals, axiom,  (v2_xxreal_0(19) & m1_subset_1(19, 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(spc82_numerals, axiom,  (v2_xxreal_0(82) & m1_subset_1(82, 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) ) ).
