% Mizar problem: t230_xprimes0,xprimes0,1553,7 
fof(t230_xprimes0, conjecture,  ~ (v1_int_2(230)) ).
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_r113_rm113, axiom, k6_xcmplx_0(0, 113)=k4_xcmplx_0(113)).
fof(rqRealDiff__k6_xcmplx_0__r0_r114_rm114, axiom, k6_xcmplx_0(0, 114)=k4_xcmplx_0(114)).
fof(rqRealDiff__k6_xcmplx_0__r0_r115_rm115, axiom, k6_xcmplx_0(0, 115)=k4_xcmplx_0(115)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r228_rm228, axiom, k6_xcmplx_0(0, 228)=k4_xcmplx_0(228)).
fof(rqRealDiff__k6_xcmplx_0__r0_r229_rm229, axiom, k6_xcmplx_0(0, 229)=k4_xcmplx_0(229)).
fof(rqRealDiff__k6_xcmplx_0__r0_r230_rm230, axiom, k6_xcmplx_0(0, 230)=k4_xcmplx_0(230)).
fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom, k6_xcmplx_0(0, k4_xcmplx_0(2))=2).
fof(rqRealDiff__k6_xcmplx_0__r0_rn1d2_rnm1d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__r0_rnm1d2_rn1d2, axiom, k6_xcmplx_0(0, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r113_r0_r113, axiom, k6_xcmplx_0(113, 0)=113).
fof(rqRealDiff__k6_xcmplx_0__r113_r113_r0, axiom, k6_xcmplx_0(113, 113)=0).
fof(rqRealDiff__k6_xcmplx_0__r113_r114_rm1, axiom, k6_xcmplx_0(113, 114)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r113_r115_rm2, axiom, k6_xcmplx_0(113, 115)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r113_rn113d2_rn113d2, axiom, k6_xcmplx_0(113, k7_xcmplx_0(113, 2))=k7_xcmplx_0(113, 2)).
fof(rqRealDiff__k6_xcmplx_0__r114_r0_r114, axiom, k6_xcmplx_0(114, 0)=114).
fof(rqRealDiff__k6_xcmplx_0__r114_r115_rm1, axiom, k6_xcmplx_0(114, 115)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r114_r1_r113, axiom, k6_xcmplx_0(114, 1)=113).
fof(rqRealDiff__k6_xcmplx_0__r114_rm114_r228, axiom, k6_xcmplx_0(114, k4_xcmplx_0(114))=228).
fof(rqRealDiff__k6_xcmplx_0__r114_rm1_r115, axiom, k6_xcmplx_0(114, k4_xcmplx_0(1))=115).
fof(rqRealDiff__k6_xcmplx_0__r115_r0_r115, axiom, k6_xcmplx_0(115, 0)=115).
fof(rqRealDiff__k6_xcmplx_0__r115_r113_r2, axiom, k6_xcmplx_0(115, 113)=2).
fof(rqRealDiff__k6_xcmplx_0__r115_r1_r114, axiom, k6_xcmplx_0(115, 1)=114).
fof(rqRealDiff__k6_xcmplx_0__r115_r2_r113, axiom, k6_xcmplx_0(115, 2)=113).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r114_rm113, axiom, k6_xcmplx_0(1, 114)=k4_xcmplx_0(113)).
fof(rqRealDiff__k6_xcmplx_0__r1_r115_rm114, axiom, k6_xcmplx_0(1, 115)=k4_xcmplx_0(114)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r229_rm228, axiom, k6_xcmplx_0(1, 229)=k4_xcmplx_0(228)).
fof(rqRealDiff__k6_xcmplx_0__r1_r230_rm229, axiom, k6_xcmplx_0(1, 230)=k4_xcmplx_0(229)).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_rn1d2_rn1d2, axiom, k6_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__r228_r0_r228, axiom, k6_xcmplx_0(228, 0)=228).
fof(rqRealDiff__k6_xcmplx_0__r228_r113_r115, axiom, k6_xcmplx_0(228, 113)=115).
fof(rqRealDiff__k6_xcmplx_0__r228_r114_r114, axiom, k6_xcmplx_0(228, 114)=114).
fof(rqRealDiff__k6_xcmplx_0__r228_r115_r113, axiom, k6_xcmplx_0(228, 115)=113).
fof(rqRealDiff__k6_xcmplx_0__r228_r228_r0, axiom, k6_xcmplx_0(228, 228)=0).
fof(rqRealDiff__k6_xcmplx_0__r228_rm1_r229, axiom, k6_xcmplx_0(228, k4_xcmplx_0(1))=229).
fof(rqRealDiff__k6_xcmplx_0__r229_r0_r229, axiom, k6_xcmplx_0(229, 0)=229).
fof(rqRealDiff__k6_xcmplx_0__r229_r1_r228, axiom, k6_xcmplx_0(229, 1)=228).
fof(rqRealDiff__k6_xcmplx_0__r229_r228_r1, axiom, k6_xcmplx_0(229, 228)=1).
fof(rqRealDiff__k6_xcmplx_0__r229_r229_r0, axiom, k6_xcmplx_0(229, 229)=0).
fof(rqRealDiff__k6_xcmplx_0__r229_rm1_r230, axiom, k6_xcmplx_0(229, k4_xcmplx_0(1))=230).
fof(rqRealDiff__k6_xcmplx_0__r230_r0_r230, axiom, k6_xcmplx_0(230, 0)=230).
fof(rqRealDiff__k6_xcmplx_0__r230_r115_r115, axiom, k6_xcmplx_0(230, 115)=115).
fof(rqRealDiff__k6_xcmplx_0__r230_r1_r229, axiom, k6_xcmplx_0(230, 1)=229).
fof(rqRealDiff__k6_xcmplx_0__r230_r228_r2, axiom, k6_xcmplx_0(230, 228)=2).
fof(rqRealDiff__k6_xcmplx_0__r230_r2_r228, axiom, k6_xcmplx_0(230, 2)=228).
fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom, k6_xcmplx_0(2, 0)=2).
fof(rqRealDiff__k6_xcmplx_0__r2_r115_rm113, axiom, k6_xcmplx_0(2, 115)=k4_xcmplx_0(113)).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(2, 1)=1).
fof(rqRealDiff__k6_xcmplx_0__r2_r230_rm228, axiom, k6_xcmplx_0(2, 230)=k4_xcmplx_0(228)).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__rm113_r0_rm113, axiom, k6_xcmplx_0(k4_xcmplx_0(113), 0)=k4_xcmplx_0(113)).
fof(rqRealDiff__k6_xcmplx_0__rm113_r2_rm115, axiom, k6_xcmplx_0(k4_xcmplx_0(113), 2)=k4_xcmplx_0(115)).
fof(rqRealDiff__k6_xcmplx_0__rm113_rm113_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(113), k4_xcmplx_0(113))=0).
fof(rqRealDiff__k6_xcmplx_0__rm113_rm228_r115, axiom, k6_xcmplx_0(k4_xcmplx_0(113), k4_xcmplx_0(228))=115).
fof(rqRealDiff__k6_xcmplx_0__rm114_r0_rm114, axiom, k6_xcmplx_0(k4_xcmplx_0(114), 0)=k4_xcmplx_0(114)).
fof(rqRealDiff__k6_xcmplx_0__rm114_r114_rm228, axiom, k6_xcmplx_0(k4_xcmplx_0(114), 114)=k4_xcmplx_0(228)).
fof(rqRealDiff__k6_xcmplx_0__rm114_r1_rm115, axiom, k6_xcmplx_0(k4_xcmplx_0(114), 1)=k4_xcmplx_0(115)).
fof(rqRealDiff__k6_xcmplx_0__rm114_rm114_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(114), k4_xcmplx_0(114))=0).
fof(rqRealDiff__k6_xcmplx_0__rm114_rm1_rm113, axiom, k6_xcmplx_0(k4_xcmplx_0(114), k4_xcmplx_0(1))=k4_xcmplx_0(113)).
fof(rqRealDiff__k6_xcmplx_0__rm114_rm228_r114, axiom, k6_xcmplx_0(k4_xcmplx_0(114), k4_xcmplx_0(228))=114).
fof(rqRealDiff__k6_xcmplx_0__rm115_rm113_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(115), k4_xcmplx_0(113))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm115_rm115_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(115), k4_xcmplx_0(115))=0).
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_r114_rm115, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 114)=k4_xcmplx_0(115)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r228_rm229, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 228)=k4_xcmplx_0(229)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm114_r113, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(114))=113).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm115_r114, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(115))=114).
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_rm230_r229, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(230))=229).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=1).
fof(rqRealDiff__k6_xcmplx_0__rm1_rnm1d2_rnm1d2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rm228_r0_rm228, axiom, k6_xcmplx_0(k4_xcmplx_0(228), 0)=k4_xcmplx_0(228)).
fof(rqRealDiff__k6_xcmplx_0__rm228_r1_rm229, axiom, k6_xcmplx_0(k4_xcmplx_0(228), 1)=k4_xcmplx_0(229)).
fof(rqRealDiff__k6_xcmplx_0__rm228_r2_rm230, axiom, k6_xcmplx_0(k4_xcmplx_0(228), 2)=k4_xcmplx_0(230)).
fof(rqRealDiff__k6_xcmplx_0__rm228_rm228_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(228), k4_xcmplx_0(228))=0).
fof(rqRealDiff__k6_xcmplx_0__rm229_rm228_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(229), k4_xcmplx_0(228))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm229_rm229_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(229), k4_xcmplx_0(229))=0).
fof(rqRealDiff__k6_xcmplx_0__rm230_r0_rm230, axiom, k6_xcmplx_0(k4_xcmplx_0(230), 0)=k4_xcmplx_0(230)).
fof(rqRealDiff__k6_xcmplx_0__rm230_rm228_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(230), k4_xcmplx_0(228))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm230_rm230_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(230), k4_xcmplx_0(230))=0).
fof(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm230_r228, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(230))=228).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=0).
fof(rqRealDiff__k6_xcmplx_0__rn113d2_rn113d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(113, 2), k7_xcmplx_0(113, 2))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r0_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 0)=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_r1_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rn1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(1, 2))=0).
fof(rqRealDiff__k6_xcmplx_0__rn1d2_rnm1d2_r1, axiom, k6_xcmplx_0(k7_xcmplx_0(1, 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealDiff__k6_xcmplx_0__rnm113d2_rm113_rn113d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(113), 2), k4_xcmplx_0(113))=k7_xcmplx_0(113, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_r0_rnm1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 0)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rm1_rn1d2, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(1))=k7_xcmplx_0(1, 2)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rn1d2_rm1, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rnm1d2_rnm1d2_r0, axiom, k6_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=0).
fof(rqRealDiv__k7_xcmplx_0__r1_r113_rn1d113, axiom, k7_xcmplx_0(1, 113)=k7_xcmplx_0(1, 113)).
fof(rqRealDiv__k7_xcmplx_0__r1_r1_r1, axiom, k7_xcmplx_0(1, 1)=1).
fof(rqRealDiv__k7_xcmplx_0__r1_r2_rn1d2, axiom, k7_xcmplx_0(1, 2)=k7_xcmplx_0(1, 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm113_rnm1d113, axiom, k7_xcmplx_0(1, k4_xcmplx_0(113))=k7_xcmplx_0(k4_xcmplx_0(1), 113)).
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_rm229_rnm1d229, axiom, k7_xcmplx_0(1, k4_xcmplx_0(229))=k7_xcmplx_0(k4_xcmplx_0(1), 229)).
fof(rqRealDiv__k7_xcmplx_0__r1_rm2_rnm1d2, axiom, k7_xcmplx_0(1, k4_xcmplx_0(2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiv__k7_xcmplx_0__r1_rn1d2_r2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(1, 2))=2).
fof(rqRealDiv__k7_xcmplx_0__r1_rnm1d2_rm2, axiom, k7_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(2)).
fof(rqRealDiv__k7_xcmplx_0__r2_r1_r2, axiom, k7_xcmplx_0(2, 1)=2).
fof(rqRealDiv__k7_xcmplx_0__r2_r2_r1, axiom, k7_xcmplx_0(2, 2)=1).
fof(rqRealDiv__k7_xcmplx_0__rm1_r1_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(1)).
fof(rqRealDiv__k7_xcmplx_0__rm1_r2_rnm1d2, axiom, k7_xcmplx_0(k4_xcmplx_0(1), 2)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealDiv__k7_xcmplx_0__rm2_r2_rm1, axiom, k7_xcmplx_0(k4_xcmplx_0(2), 2)=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_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r2_r0, axiom, k3_xcmplx_0(0, 2)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rm2_r0, axiom, k3_xcmplx_0(0, k4_xcmplx_0(2))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rn1d2_r0, axiom, k3_xcmplx_0(0, k7_xcmplx_0(1, 2))=0).
fof(rqRealMult__k3_xcmplx_0__r113_r1_r113, axiom, k3_xcmplx_0(113, 1)=113).
fof(rqRealMult__k3_xcmplx_0__r114_r1_r114, axiom, k3_xcmplx_0(114, 1)=114).
fof(rqRealMult__k3_xcmplx_0__r114_r2_r228, axiom, k3_xcmplx_0(114, 2)=228).
fof(rqRealMult__k3_xcmplx_0__r115_r1_r115, axiom, k3_xcmplx_0(115, 1)=115).
fof(rqRealMult__k3_xcmplx_0__r115_r2_r230, axiom, k3_xcmplx_0(115, 2)=230).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r113_r113, axiom, k3_xcmplx_0(1, 113)=113).
fof(rqRealMult__k3_xcmplx_0__r1_r114_r114, axiom, k3_xcmplx_0(1, 114)=114).
fof(rqRealMult__k3_xcmplx_0__r1_r115_r115, axiom, k3_xcmplx_0(1, 115)=115).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r228_r228, axiom, k3_xcmplx_0(1, 228)=228).
fof(rqRealMult__k3_xcmplx_0__r1_r229_r229, axiom, k3_xcmplx_0(1, 229)=229).
fof(rqRealMult__k3_xcmplx_0__r1_r230_r230, axiom, k3_xcmplx_0(1, 230)=230).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_rm2_rm2, axiom, k3_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__r1_rn1d2_rn1d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(1, 2))=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__r1_rnm1d2_rnm1d2, axiom, k3_xcmplx_0(1, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__r228_r1_r228, axiom, k3_xcmplx_0(228, 1)=228).
fof(rqRealMult__k3_xcmplx_0__r229_r1_r229, axiom, k3_xcmplx_0(229, 1)=229).
fof(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom, k3_xcmplx_0(2, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r2_r114_r228, axiom, k3_xcmplx_0(2, 114)=228).
fof(rqRealMult__k3_xcmplx_0__r2_r115_r230, axiom, k3_xcmplx_0(2, 115)=230).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__r2_rm115_rm230, axiom, k3_xcmplx_0(2, k4_xcmplx_0(115))=k4_xcmplx_0(230)).
fof(rqRealMult__k3_xcmplx_0__r2_rn1d2_r1, axiom, k3_xcmplx_0(2, k7_xcmplx_0(1, 2))=1).
fof(rqRealMult__k3_xcmplx_0__r2_rnm113d2_rm113, axiom, k3_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(113), 2))=k4_xcmplx_0(113)).
fof(rqRealMult__k3_xcmplx_0__r2_rnm1d2_rm1, axiom, k3_xcmplx_0(2, k7_xcmplx_0(k4_xcmplx_0(1), 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm113_r1_rm113, axiom, k3_xcmplx_0(k4_xcmplx_0(113), 1)=k4_xcmplx_0(113)).
fof(rqRealMult__k3_xcmplx_0__rm114_r1_rm114, axiom, k3_xcmplx_0(k4_xcmplx_0(114), 1)=k4_xcmplx_0(114)).
fof(rqRealMult__k3_xcmplx_0__rm228_r1_rm228, axiom, k3_xcmplx_0(k4_xcmplx_0(228), 1)=k4_xcmplx_0(228)).
fof(rqRealMult__k3_xcmplx_0__rm229_r1_rm229, axiom, k3_xcmplx_0(k4_xcmplx_0(229), 1)=k4_xcmplx_0(229)).
fof(rqRealMult__k3_xcmplx_0__rm2_r0_r0, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rm2_r1_rm2, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rm2_rm114_r228, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(114))=228).
fof(rqRealMult__k3_xcmplx_0__rm2_rm115_r230, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(115))=230).
fof(rqRealMult__k3_xcmplx_0__rm2_rn1d2_rm1, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(1, 2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm113d2_r113, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(113), 2))=113).
fof(rqRealMult__k3_xcmplx_0__rm2_rnm1d2_r1, axiom, k3_xcmplx_0(k4_xcmplx_0(2), k7_xcmplx_0(k4_xcmplx_0(1), 2))=1).
fof(rqRealMult__k3_xcmplx_0__rn1d113_r113_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 113), 113)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r0_r0, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r1_rn1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 1)=k7_xcmplx_0(1, 2)).
fof(rqRealMult__k3_xcmplx_0__rn1d2_r2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), 2)=1).
fof(rqRealMult__k3_xcmplx_0__rn1d2_rm2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(1, 2), k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d113_rm113_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 113), k4_xcmplx_0(113))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d229_rm229_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 229), k4_xcmplx_0(229))=1).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r113_rnm113d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 113)=k7_xcmplx_0(k4_xcmplx_0(113), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r1_rnm1d2, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 1)=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r228_rm114, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 228)=k4_xcmplx_0(114)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r230_rm115, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 230)=k4_xcmplx_0(115)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_r2_rm1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), 2)=k4_xcmplx_0(1)).
fof(rqRealMult__k3_xcmplx_0__rnm1d2_rm2_r1, axiom, k3_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2), k4_xcmplx_0(2))=1).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r113_rm113, axiom, k4_xcmplx_0(113)=k4_xcmplx_0(113)).
fof(rqRealNeg__k4_xcmplx_0__r114_rm114, axiom, k4_xcmplx_0(114)=k4_xcmplx_0(114)).
fof(rqRealNeg__k4_xcmplx_0__r115_rm115, axiom, k4_xcmplx_0(115)=k4_xcmplx_0(115)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r228_rm228, axiom, k4_xcmplx_0(228)=k4_xcmplx_0(228)).
fof(rqRealNeg__k4_xcmplx_0__r229_rm229, axiom, k4_xcmplx_0(229)=k4_xcmplx_0(229)).
fof(rqRealNeg__k4_xcmplx_0__r230_rm230, axiom, k4_xcmplx_0(230)=k4_xcmplx_0(230)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__rm113_r113, axiom, k4_xcmplx_0(k4_xcmplx_0(113))=113).
fof(rqRealNeg__k4_xcmplx_0__rm114_r114, axiom, k4_xcmplx_0(k4_xcmplx_0(114))=114).
fof(rqRealNeg__k4_xcmplx_0__rm115_r115, axiom, k4_xcmplx_0(k4_xcmplx_0(115))=115).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm228_r228, axiom, k4_xcmplx_0(k4_xcmplx_0(228))=228).
fof(rqRealNeg__k4_xcmplx_0__rm229_r229, axiom, k4_xcmplx_0(k4_xcmplx_0(229))=229).
fof(rqRealNeg__k4_xcmplx_0__rm230_r230, axiom, k4_xcmplx_0(k4_xcmplx_0(230))=230).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rn113d2_rnm113d2, axiom, k4_xcmplx_0(k7_xcmplx_0(113, 2))=k7_xcmplx_0(k4_xcmplx_0(113), 2)).
fof(rqRealNeg__k4_xcmplx_0__rn1d2_rnm1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(1, 2))=k7_xcmplx_0(k4_xcmplx_0(1), 2)).
fof(rqRealNeg__k4_xcmplx_0__rnm113d2_rn113d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(113), 2))=k7_xcmplx_0(113, 2)).
fof(rqRealNeg__k4_xcmplx_0__rnm1d2_rn1d2, axiom, k4_xcmplx_0(k7_xcmplx_0(k4_xcmplx_0(1), 2))=k7_xcmplx_0(1, 2)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc113_numerals, axiom,  (v2_xxreal_0(113) & m1_subset_1(113, k4_ordinal1)) ).
fof(spc114_numerals, axiom,  (v2_xxreal_0(114) & m1_subset_1(114, k4_ordinal1)) ).
fof(spc115_numerals, axiom,  (v2_xxreal_0(115) & m1_subset_1(115, k4_ordinal1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc228_numerals, axiom,  (v2_xxreal_0(228) & m1_subset_1(228, k4_ordinal1)) ).
fof(spc229_numerals, axiom,  (v2_xxreal_0(229) & m1_subset_1(229, k4_ordinal1)) ).
fof(spc230_numerals, axiom,  (v2_xxreal_0(230) & m1_subset_1(230, k4_ordinal1)) ).
fof(spc2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k4_xcmplx_0(1))=k4_xcmplx_0(A)) ) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, 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) ) ).
